Abstract
We consider neutral- and charged-current Drell Yan lepton-pair production at hadron colliders, and include dominant classes of electroweak and mixed QCD-electroweak corrections to all orders in perturbation theory. The accurate description of these physical effects is vital for a precise determination of fundamental Standard Model parameters, such as the W-boson mass and the electroweak mixing angle, as well as for a solid assessment of the associated theoretical uncertainties. Our state-of-the-art resummation reaches next-to-leading-logarithmic accuracy in both the electroweak and the mixed QCD-electroweak perturbative expansions, including constant terms at first order beyond Born level in both couplings, i.e. at order α and αsα. These effects are incorporated on top of QCD predictions at next-to-next-to-next-to-leading-logarithmic accuracy, which include constant terms at third order in the strong coupling. Our results retain, for the first time at this accuracy, full dependence on the kinematics of the final-state leptons, thereby enabling a realistic comparison with experimental analyses at the differential level in presence of fiducial cuts. We present a phenomenological analysis of the impact of electroweak corrections in relevant observables at the LHC. We find visible shape distortions in resummation-dominated kinematical regions with respect to pure-QCD predictions, highlighting the importance of a complete description, not limited to QCD, for precision Drell Yan physics.
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References
CDF and D0 collaborations, 2012 Update of the Combination of CDF and D0 Results for the Mass of the W Boson, arXiv:1204.0042 [INSPIRE].
ATLAS collaboration, Measurement of the W-boson mass in pp collisions at \( \sqrt{s} \) = 7 TeV with the ATLAS detector, Eur. Phys. J. C 78 (2018) 110 [Erratum ibid. 78 (2018) 898] [arXiv:1701.07240] [INSPIRE].
LHCb collaboration, Measurement of the W boson mass, JHEP 01 (2022) 036 [arXiv:2109.01113] [INSPIRE].
CDF collaboration, High-precision measurement of the W boson mass with the CDF II detector, Science 376 (2022) 170 [INSPIRE].
ATLAS collaboration, Improved W boson Mass Measurement using 7 TeV Proton-Proton Collisions with the ATLAS Detector, ATLAS-CONF-2023-004 (2023) [INSPIRE].
CMS collaboration, Measurement of the weak mixing angle with the Drell-Yan process in proton-proton collisions at the LHC, Phys. Rev. D 84 (2011) 112002 [arXiv:1110.2682] [INSPIRE].
ATLAS collaboration, Measurement of the forward-backward asymmetry of electron and muon pair-production in pp collisions at \( \sqrt{s} \) = 7 TeV with the ATLAS detector, JHEP 09 (2015) 049 [arXiv:1503.03709] [INSPIRE].
LHCb collaboration, Measurement of the forward-backward asymmetry in Z/γ∗ → μ+μ− decays and determination of the effective weak mixing angle, JHEP 11 (2015) 190 [arXiv:1509.07645] [INSPIRE].
CDF and D0 collaborations, Tevatron Run II combination of the effective leptonic electroweak mixing angle, Phys. Rev. D 97 (2018) 112007 [arXiv:1801.06283] [INSPIRE].
CMS collaboration, Measurement of the weak mixing angle using the forward-backward asymmetry of Drell-Yan events in pp collisions at 8 TeV, Eur. Phys. J. C 78 (2018) 701 [arXiv:1806.00863] [INSPIRE].
ATLAS collaboration, Measurement of the effective leptonic weak mixing angle using electron and muon pairs from Z-boson decay in the ATLAS experiment at \( \sqrt{s} \) = 8 TeV, ATLAS-CONF-2018-037 (2018) [INSPIRE].
CMS collaboration, Measurement of the Drell-Yan forward-backward asymmetry and of the effective leptonic weak mixing angle using proton-proton collisions at 13 TeV, CMS-PAS-SMP-22-010 (2024) [INSPIRE].
ATLAS collaboration, A precise determination of the strong-coupling constant from the recoil of Z bosons with the ATLAS experiment at \( \sqrt{s} \) = 8 TeV, arXiv:2309.12986 [INSPIRE].
ATLAS collaboration, Measurement of the transverse momentum distribution of Drell-Yan lepton pairs in proton-proton collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Eur. Phys. J. C 80 (2020) 616 [arXiv:1912.02844] [INSPIRE].
CMS collaboration, Measurements of differential Z boson production cross sections in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 12 (2019) 061 [arXiv:1909.04133] [INSPIRE].
LHCb collaboration, Precision measurement of forward Z boson production in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 07 (2022) 026 [arXiv:2112.07458] [INSPIRE].
CMS collaboration, Measurement of the mass dependence of the transverse momentum of lepton pairs in Drell-Yan production in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Eur. Phys. J. C 83 (2023) 628 [arXiv:2205.04897] [INSPIRE].
ATLAS collaboration, A precise measurement of the Z-boson double-differential transverse momentum and rapidity distributions in the full phase space of the decay leptons with the ATLAS experiment at \( \sqrt{s} \) = 8 TeV, Eur. Phys. J. C 84 (2024) 315 [arXiv:2309.09318] [INSPIRE].
LHCb collaboration, Measurement of the Z boson production cross-section in pp collisions at \( \sqrt{s} \) = 5.02 TeV, JHEP 02 (2024) 070 [arXiv:2308.12940] [INSPIRE].
ATLAS collaboration, Precise measurements of W- and Z-boson transverse momentum spectra with the ATLAS detector using pp collisions at \( \sqrt{s} \) = 5.02 TeV and 13 TeV, arXiv:2404.06204 [INSPIRE].
G. Altarelli, R.K. Ellis and G. Martinelli, Large Perturbative Corrections to the Drell-Yan Process in QCD, Nucl. Phys. B 157 (1979) 461 [INSPIRE].
R. Hamberg, W.L. van Neerven and T. Matsuura, A complete calculation of the order α – s2 correction to the Drell-Yan K factor, Nucl. Phys. B 359 (1991) 343 [INSPIRE].
R.V. Harlander and W.B. Kilgore, Next-to-next-to-leading order Higgs production at hadron colliders, Phys. Rev. Lett. 88 (2002) 201801 [hep-ph/0201206] [INSPIRE].
C. Anastasiou, L.J. Dixon, K. Melnikov and F. Petriello, Dilepton rapidity distribution in the Drell-Yan process at NNLO in QCD, Phys. Rev. Lett. 91 (2003) 182002 [hep-ph/0306192] [INSPIRE].
C. Anastasiou, L.J. Dixon, K. Melnikov and F. Petriello, High precision QCD at hadron colliders: Electroweak gauge boson rapidity distributions at NNLO, Phys. Rev. D 69 (2004) 094008 [hep-ph/0312266] [INSPIRE].
K. Melnikov and F. Petriello, The W boson production cross section at the LHC through \( O\left({\alpha}_s^2\right) \), Phys. Rev. Lett. 96 (2006) 231803 [hep-ph/0603182] [INSPIRE].
K. Melnikov and F. Petriello, Electroweak gauge boson production at hadron colliders through \( O\left({\alpha}_s^2\right) \), Phys. Rev. D 74 (2006) 114017 [hep-ph/0609070] [INSPIRE].
S. Catani et al., Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO, Phys. Rev. Lett. 103 (2009) 082001 [arXiv:0903.2120] [INSPIRE].
S. Catani, G. Ferrera and M. Grazzini, W Boson Production at Hadron Colliders: The Lepton Charge Asymmetry in NNLO QCD, JHEP 05 (2010) 006 [arXiv:1002.3115] [INSPIRE].
C. Duhr, F. Dulat and B. Mistlberger, Drell-Yan Cross Section to Third Order in the Strong Coupling Constant, Phys. Rev. Lett. 125 (2020) 172001 [arXiv:2001.07717] [INSPIRE].
C. Duhr, F. Dulat and B. Mistlberger, Charged current Drell-Yan production at N3LO, JHEP 11 (2020) 143 [arXiv:2007.13313] [INSPIRE].
J. Baglio, C. Duhr, B. Mistlberger and R. Szafron, Inclusive production cross sections at N3LO, JHEP 12 (2022) 066 [arXiv:2209.06138] [INSPIRE].
X. Chen et al., Dilepton Rapidity Distribution in Drell-Yan Production to Third Order in QCD, Phys. Rev. Lett. 128 (2022) 052001 [arXiv:2107.09085] [INSPIRE].
X. Chen et al., Third-Order Fiducial Predictions for Drell-Yan Production at the LHC, Phys. Rev. Lett. 128 (2022) 252001 [arXiv:2203.01565] [INSPIRE].
X. Chen et al., Transverse mass distribution and charge asymmetry in W boson production to third order in QCD, Phys. Lett. B 840 (2023) 137876 [arXiv:2205.11426] [INSPIRE].
X. Chen et al., Theory uncertainties in the fiducial Drell-Yan cross section and distributions, in the proceedings of the 56th Rencontres de Moriond on QCD and High Energy Interactions, La Thuile, Italy, 19–26 March 2022 [arXiv:2206.11059] [INSPIRE].
T. Neumann and J. Campbell, Fiducial Drell-Yan production at the LHC improved by transverse-momentum resummation at N 4LLp + N 3LO, Phys. Rev. D 107 (2023) L011506 [arXiv:2207.07056] [INSPIRE].
J. Campbell and T. Neumann, Third order QCD predictions for fiducial W-boson production, JHEP 11 (2023) 127 [arXiv:2308.15382] [INSPIRE].
S. Camarda, L. Cieri and G. Ferrera, Drell-Yan lepton-pair production: qT resummation at N 3LL accuracy and fiducial cross sections at N 3LO, Phys. Rev. D 104 (2021) L111503 [arXiv:2103.04974] [INSPIRE].
S. Dittmaier and M. Krämer, Electroweak radiative corrections to W boson production at hadron colliders, Phys. Rev. D 65 (2002) 073007 [hep-ph/0109062] [INSPIRE].
U. Baur and D. Wackeroth, Electroweak radiative corrections to \( p\overline{p} \) → W± → ℓ±ν beyond the pole approximation, Phys. Rev. D 70 (2004) 073015 [hep-ph/0405191] [INSPIRE].
V.A. Zykunov, Radiative corrections to the Drell-Yan process at large dilepton invariant masses, Phys. Atom. Nucl. 69 (2006) 1522 [INSPIRE].
A. Arbuzov et al., One-loop corrections to the Drell-Yan process in SANC. I. The charged current case, Eur. Phys. J. C 46 (2006) 407 [Erratum ibid. 50 (2007) 505] [hep-ph/0506110] [INSPIRE].
C.M. Carloni Calame, G. Montagna, O. Nicrosini and A. Vicini, Precision electroweak calculation of the charged current Drell-Yan process, JHEP 12 (2006) 016 [hep-ph/0609170] [INSPIRE].
U. Baur et al., Electroweak radiative corrections to neutral current Drell-Yan processes at hadron colliders, Phys. Rev. D 65 (2002) 033007 [hep-ph/0108274] [INSPIRE].
V.A. Zykunov, Weak radiative corrections to Drell-Yan process for large invariant mass of di-lepton pair, Phys. Rev. D 75 (2007) 073019 [hep-ph/0509315] [INSPIRE].
C.M. Carloni Calame, G. Montagna, O. Nicrosini and A. Vicini, Precision electroweak calculation of the production of a high transverse-momentum lepton pair at hadron colliders, JHEP 10 (2007) 109 [arXiv:0710.1722] [INSPIRE].
A. Arbuzov et al., One-loop corrections to the Drell-Yan process in SANC. (II). The neutral current case, Eur. Phys. J. C 54 (2008) 451 [arXiv:0711.0625] [INSPIRE].
S. Dittmaier and M. Huber, Radiative corrections to the neutral-current Drell-Yan process in the Standard Model and its minimal supersymmetric extension, JHEP 01 (2010) 060 [arXiv:0911.2329] [INSPIRE].
A. Denner and S. Dittmaier, Electroweak Radiative Corrections for Collider Physics, Phys. Rept. 864 (2020) 1 [arXiv:1912.06823] [INSPIRE].
S. Dittmaier, A. Huss and C. Schwinn, Mixed QCD-electroweak \( \mathcal{O}\left({\alpha}_s\alpha \right) \) corrections to Drell-Yan processes in the resonance region: pole approximation and non-factorizable corrections, Nucl. Phys. B 885 (2014) 318 [arXiv:1403.3216] [INSPIRE].
S. Dittmaier, A. Huss and C. Schwinn, Dominant mixed QCD-electroweak O(αsα) corrections to Drell-Yan processes in the resonance region, Nucl. Phys. B 904 (2016) 216 [arXiv:1511.08016] [INSPIRE].
S. Dittmaier, A. Huss and J. Schwarz, Mixed NNLO QCD × electroweak corrections to single-Z production in pole approximation: differential distributions and forward-backward asymmetry, JHEP 05 (2024) 170 [arXiv:2401.15682] [INSPIRE].
D. de Florian, M. Der and I. Fabre, QCD⨁QED NNLO corrections to Drell Yan production, Phys. Rev. D 98 (2018) 094008 [arXiv:1805.12214] [INSPIRE].
M. Delto, M. Jaquier, K. Melnikov and R. Röntsch, Mixed QCD⨂QED corrections to on-shell Z boson production at the LHC, JHEP 01 (2020) 043 [arXiv:1909.08428] [INSPIRE].
L. Cieri, D. de Florian, M. Der and J. Mazzitelli, Mixed QCD⨂QED corrections to exclusive Drell Yan production using the qT -subtraction method, JHEP 09 (2020) 155 [arXiv:2005.01315] [INSPIRE].
R. Bonciani, F. Buccioni, R. Mondini and A. Vicini, Double-real corrections at \( \mathcal{O}\left({\alpha \alpha}_s\right) \) to single gauge boson production, Eur. Phys. J. C 77 (2017) 187 [arXiv:1611.00645] [INSPIRE].
R. Bonciani et al., NNLO QCD×EW corrections to Z production in the \( q\overline{q} \) channel, Phys. Rev. D 101 (2020) 031301 [arXiv:1911.06200] [INSPIRE].
R. Bonciani, F. Buccioni, N. Rana and A. Vicini, Next-to-Next-to-Leading Order Mixed QCD-Electroweak Corrections to on-Shell Z Production, Phys. Rev. Lett. 125 (2020) 232004 [arXiv:2007.06518] [INSPIRE].
L. Buonocore et al., Mixed QCD-EW corrections to pp → ℓνℓ + X at the LHC, Phys. Rev. D 103 (2021) 114012 [arXiv:2102.12539] [INSPIRE].
M. Heller, A. von Manteuffel, R.M. Schabinger and H. Spiesberger, Mixed EW-QCD two-loop amplitudes for \( q\overline{q} \) → ℓ+ℓ− and γ5 scheme independence of multi-loop corrections, JHEP 05 (2021) 213 [arXiv:2012.05918] [INSPIRE].
T. Armadillo et al., Two-loop mixed QCD-EW corrections to neutral current Drell-Yan, JHEP 05 (2022) 072 [arXiv:2201.01754] [INSPIRE].
R. Bonciani et al., Mixed Strong-Electroweak Corrections to the Drell-Yan Process, Phys. Rev. Lett. 128 (2022) 012002 [arXiv:2106.11953] [INSPIRE].
F. Buccioni et al., Mixed QCD-electroweak corrections to dilepton production at the LHC in the high invariant mass region, JHEP 06 (2022) 022 [arXiv:2203.11237] [INSPIRE].
A. Banfi et al., Optimisation of variables for studying dilepton transverse momentum distributions at hadron colliders, Eur. Phys. J. C 71 (2011) 1600 [arXiv:1009.1580] [INSPIRE].
G. Parisi and R. Petronzio, Small Transverse Momentum Distributions in Hard Processes, Nucl. Phys. B 154 (1979) 427 [INSPIRE].
J.C. Collins, D.E. Soper and G.F. Sterman, Transverse Momentum Distribution in Drell-Yan Pair and W and Z Boson Production, Nucl. Phys. B 250 (1985) 199 [INSPIRE].
C. Balazs, J.-W. Qiu and C.P. Yuan, Effects of QCD resummation on distributions of leptons from the decay of electroweak vector bosons, Phys. Lett. B 355 (1995) 548 [hep-ph/9505203] [INSPIRE].
C. Balazs and C.P. Yuan, Soft gluon effects on lepton pairs at hadron colliders, Phys. Rev. D 56 (1997) 5558 [hep-ph/9704258] [INSPIRE].
S. Catani, D. de Florian and M. Grazzini, Universality of nonleading logarithmic contributions in transverse momentum distributions, Nucl. Phys. B 596 (2001) 299 [hep-ph/0008184] [INSPIRE].
G. Bozzi et al., Transverse-momentum resummation: A perturbative study of Z production at the Tevatron, Nucl. Phys. B 815 (2009) 174 [arXiv:0812.2862] [INSPIRE].
G. Bozzi et al., Production of Drell-Yan lepton pairs in hadron collisions: Transverse-momentum resummation at next-to-next-to-leading logarithmic accuracy, Phys. Lett. B 696 (2011) 207 [arXiv:1007.2351] [INSPIRE].
T. Becher and M. Neubert, Drell-Yan Production at Small qT, Transverse Parton Distributions and the Collinear Anomaly, Eur. Phys. J. C 71 (2011) 1665 [arXiv:1007.4005] [INSPIRE].
A. Banfi, M. Dasgupta, S. Marzani and L. Tomlinson, Probing the low transverse momentum domain of Z production with novel variables, JHEP 01 (2012) 044 [arXiv:1110.4009] [INSPIRE].
M.G. Echevarria, A. Idilbi and I. Scimemi, Factorization Theorem For Drell-Yan At Low qT And Transverse Momentum Distributions On-The-Light-Cone, JHEP 07 (2012) 002 [arXiv:1111.4996] [INSPIRE].
A. Banfi, M. Dasgupta, S. Marzani and L. Tomlinson, Predictions for Drell-Yan ϕ∗ and QT observables at the LHC, Phys. Lett. B 715 (2012) 152 [arXiv:1205.4760] [INSPIRE].
S. Catani, D. de Florian, G. Ferrera and M. Grazzini, Vector boson production at hadron colliders: transverse-momentum resummation and leptonic decay, JHEP 12 (2015) 047 [arXiv:1507.06937] [INSPIRE].
P.F. Monni, E. Re and P. Torrielli, Higgs Transverse-Momentum Resummation in Direct Space, Phys. Rev. Lett. 116 (2016) 242001 [arXiv:1604.02191] [INSPIRE].
J.P. Isaacson, ResBos2: precision resummation for the LHC ERA, Ph.D. Thesis, Michigan State University (2017) [https://doi.org/10.25335/M5DG44] [INSPIRE].
F. Coradeschi and T. Cridge, reSolve — A transverse momentum resummation tool, Comput. Phys. Commun. 238 (2019) 262 [arXiv:1711.02083] [INSPIRE].
D. Kang, C. Lee and V. Vaidya, A fast and accurate method for perturbative resummation of transverse momentum-dependent observables, JHEP 04 (2018) 149 [arXiv:1710.00078] [INSPIRE].
I. Scimemi and A. Vladimirov, Analysis of vector boson production within TMD factorization, Eur. Phys. J. C 78 (2018) 89 [arXiv:1706.01473] [INSPIRE].
S. Camarda et al., DYTurbo: Fast predictions for Drell-Yan processes, Eur. Phys. J. C 80 (2020) 251 [Erratum ibid. 80 (2020) 440] [arXiv:1910.07049] [INSPIRE].
W. Bizoń et al., Momentum-space resummation for transverse observables and the Higgs p⊥ at N3LL+NNLO, JHEP 02 (2018) 108 [arXiv:1705.09127] [INSPIRE].
W. Bizoń et al., Fiducial distributions in Higgs and Drell-Yan production at N3LL+NNLO, JHEP 12 (2018) 132 [arXiv:1805.05916] [INSPIRE].
W. Bizoń et al., The transverse momentum spectrum of weak gauge bosons at N3LL+NNLO, Eur. Phys. J. C 79 (2019) 868 [arXiv:1905.05171] [INSPIRE].
A. Bacchetta et al., Transverse-momentum-dependent parton distributions up to N3LL from Drell-Yan data, JHEP 07 (2020) 117 [arXiv:1912.07550] [INSPIRE].
T. Becher and M. Hager, Event-Based Transverse Momentum Resummation, Eur. Phys. J. C 79 (2019) 665 [arXiv:1904.08325] [INSPIRE].
M.A. Ebert, J.K.L. Michel, I.W. Stewart and F.J. Tackmann, Drell-Yan qT resummation of fiducial power corrections at N3LL, JHEP 04 (2021) 102 [arXiv:2006.11382] [INSPIRE].
T. Becher and T. Neumann, Fiducial qT resummation of color-singlet processes at N3LL+NNLO, JHEP 03 (2021) 199 [arXiv:2009.11437] [INSPIRE].
E. Re, L. Rottoli and P. Torrielli, Fiducial Higgs and Drell-Yan distributions at N3LL′+NNLO with RadISH, arXiv:2104.07509 [https://doi.org/10.1007/JHEP09(2021)108] [INSPIRE].
W.-L. Ju and M. Schönherr, The qT and ∆ϕ spectra in W and Z production at the LHC at N3LL’+N2LO, JHEP 10 (2021) 088 [arXiv:2106.11260] [INSPIRE].
J. Isaacson, Y. Fu and C.-P. Yuan, Improving ResBos for the precision needs of the LHC, arXiv:2311.09916 [INSPIRE].
S. Camarda, L. Cieri and G. Ferrera, Drell-Yan lepton-pair production: qT resummation at N 4LL accuracy, Phys. Lett. B 845 (2023) 138125 [arXiv:2303.12781] [INSPIRE].
V. Moos, I. Scimemi, A. Vladimirov and P. Zurita, Extraction of unpolarized transverse momentum distributions from the fit of Drell-Yan data at N4LL, JHEP 05 (2024) 036 [arXiv:2305.07473] [INSPIRE].
Q.-H. Cao and C.P. Yuan, Combined effect of QCD resummation and QED radiative correction to W boson observables at the Tevatron, Phys. Rev. Lett. 93 (2004) 042001 [hep-ph/0401026] [INSPIRE].
G. Balossini et al., Combination of electroweak and QCD corrections to single W production at the Fermilab Tevatron and the CERN LHC, JHEP 01 (2010) 013 [arXiv:0907.0276] [INSPIRE].
C.M. Carloni Calame et al., Precision Measurement of the W-Boson Mass: Theoretical Contributions and Uncertainties, Phys. Rev. D 96 (2017) 093005 [arXiv:1612.02841] [INSPIRE].
D. de Florian, G.F.R. Sborlini and G. Rodrigo, QED corrections to the Altarelli-Parisi splitting functions, Eur. Phys. J. C 76 (2016) 282 [arXiv:1512.00612] [INSPIRE].
D. de Florian, G.F.R. Sborlini and G. Rodrigo, Two-loop QED corrections to the Altarelli-Parisi splitting functions, JHEP 10 (2016) 056 [arXiv:1606.02887] [INSPIRE].
G. Billis, F.J. Tackmann and J. Talbert, Higher-Order Sudakov Resummation in Coupled Gauge Theories, JHEP 03 (2020) 182 [arXiv:1907.02971] [INSPIRE].
L. Cieri, G. Ferrera and G.F.R. Sborlini, Combining QED and QCD transverse-momentum resummation for Z boson production at hadron colliders, JHEP 08 (2018) 165 [arXiv:1805.11948] [INSPIRE].
A. Autieri, L. Cieri, G. Ferrera and G.F.R. Sborlini, Combining QED and QCD transverse-momentum resummation for W and Z boson production at hadron colliders, JHEP 07 (2023) 104 [arXiv:2302.05403] [INSPIRE].
P. Golonka and Z. Was, PHOTOS Monte Carlo: A precision tool for QED corrections in Z and W decays, Eur. Phys. J. C 45 (2006) 97 [hep-ph/0506026] [INSPIRE].
C.M. Carloni Calame, G. Montagna, O. Nicrosini and M. Treccani, Higher order QED corrections to W boson mass determination at hadron colliders, Phys. Rev. D 69 (2004) 037301 [hep-ph/0303102] [INSPIRE].
C.M. Carloni Calame, G. Montagna, O. Nicrosini and M. Treccani, Multiple photon corrections to the neutral-current Drell-Yan process, JHEP 05 (2005) 019 [hep-ph/0502218] [INSPIRE].
T. Sjöstrand et al., An introduction to PYTHIA 8.2, Comput. Phys. Commun. 191 (2015) 159 [arXiv:1410.3012] [INSPIRE].
N. Fischer, S. Prestel, M. Ritzmann and P. Skands, Vincia for Hadron Colliders, Eur. Phys. J. C 76 (2016) 589 [arXiv:1605.06142] [INSPIRE].
R. Kleiss and R. Verheyen, Final-state QED Multipole Radiation in Antenna Parton Showers, JHEP 11 (2017) 182 [arXiv:1709.04485] [INSPIRE].
J. Bellm et al., Herwig 7.0/Herwig++ 3.0 release note, Eur. Phys. J. C 76 (2016) 196 [arXiv:1512.01178] [INSPIRE].
G. Bewick et al., Herwig 7.3 Release Note, arXiv:2312.05175 [INSPIRE].
M. Schönherr and F. Krauss, Soft Photon Radiation in Particle Decays in SHERPA, JHEP 12 (2008) 018 [arXiv:0810.5071] [INSPIRE].
F. Krauss, J.M. Lindert, R. Linten and M. Schönherr, Accurate simulation of W, Z and Higgs boson decays in Sherpa, Eur. Phys. J. C 79 (2019) 143 [arXiv:1809.10650] [INSPIRE].
Sherpa collaboration, Event Generation with Sherpa 2.2, SciPost Phys. 7 (2019) 034 [arXiv:1905.09127] [INSPIRE].
C. Bernaciak and D. Wackeroth, Combining NLO QCD and Electroweak Radiative Corrections to W boson Production at Hadron Colliders in the POWHEG Framework, Phys. Rev. D 85 (2012) 093003 [arXiv:1201.4804] [INSPIRE].
L. Barze et al., Implementation of electroweak corrections in the POWHEG BOX: single W production, JHEP 04 (2012) 037 [arXiv:1202.0465] [INSPIRE].
L. Barze et al., Neutral current Drell-Yan with combined QCD and electroweak corrections in the POWHEG BOX, Eur. Phys. J. C 73 (2013) 2474 [arXiv:1302.4606] [INSPIRE].
M. Chiesa, C.L. Del Pio and F. Piccinini, On electroweak corrections to neutral current Drell-Yan with the POWHEG BOX, Eur. Phys. J. C 84 (2024) 539 [arXiv:2402.14659] [INSPIRE].
A. Mück and L. Oymanns, Resonace-improved parton-shower matching for the Drell-Yan process including electroweak corrections, JHEP 05 (2017) 090 [arXiv:1612.04292] [INSPIRE].
L. Rottoli, P. Torrielli and A. Vicini, Determination of the W-boson mass at hadron colliders, Eur. Phys. J. C 83 (2023) 948 [arXiv:2301.04059] [INSPIRE].
P. Torrielli, L. Rottoli and A. Vicini, A new observable for W-mass determination, PoS RADCOR2023 (2024) 038 [arXiv:2308.15993] [INSPIRE].
P.F. Monni, L. Rottoli and P. Torrielli, Higgs transverse momentum with a jet veto: a double-differential resummation, Phys. Rev. Lett. 124 (2020) 252001 [arXiv:1909.04704] [INSPIRE].
S. Kallweit, E. Re, L. Rottoli and M. Wiesemann, Accurate single- and double-differential resummation of colour-singlet processes with MATRIX+RADISH: W+W− production at the LHC, JHEP 12 (2020) 147 [arXiv:2004.07720] [INSPIRE].
A. Banfi, G.P. Salam and G. Zanderighi, Semi-numerical resummation of event shapes, JHEP 01 (2002) 018 [hep-ph/0112156] [INSPIRE].
A. Banfi, G.P. Salam and G. Zanderighi, Generalized resummation of QCD final state observables, Phys. Lett. B 584 (2004) 298 [hep-ph/0304148] [INSPIRE].
A. Banfi, G.P. Salam and G. Zanderighi, Principles of general final-state resummation and automated implementation, JHEP 03 (2005) 073 [hep-ph/0407286] [INSPIRE].
G. Altarelli and G. Parisi, Asymptotic Freedom in Parton Language, Nucl. Phys. B 126 (1977) 298 [INSPIRE].
V.N. Gribov and L.N. Lipatov, Deep inelastic e p scattering in perturbation theory, Sov. J. Nucl. Phys. 15 (1972) 438 [INSPIRE].
Y.L. Dokshitzer, Calculation of the Structure Functions for Deep Inelastic Scattering and e+e− Annihilation by Perturbation Theory in Quantum Chromodynamics, Sov. Phys. JETP 46 (1977) 641 [INSPIRE].
S. Catani and M. Grazzini, Higgs Boson Production at Hadron Colliders: Hard-Collinear Coefficients at the NNLO, Eur. Phys. J. C 72 (2012) 2013 [Erratum ibid. 72 (2012) 2132] [arXiv:1106.4652] [INSPIRE].
S. Catani et al., Vector boson production at hadron colliders: hard-collinear coefficients at the NNLO, Eur. Phys. J. C 72 (2012) 2195 [arXiv:1209.0158] [INSPIRE].
T. Gehrmann, T. Luebbert and L.L. Yang, Calculation of the transverse parton distribution functions at next-to-next-to-leading order, JHEP 06 (2014) 155 [arXiv:1403.6451] [INSPIRE].
T. Lübbert, J. Oredsson and M. Stahlhofen, Rapidity renormalized TMD soft and beam functions at two loops, JHEP 03 (2016) 168 [arXiv:1602.01829] [INSPIRE].
M.G. Echevarria, I. Scimemi and A. Vladimirov, Unpolarized Transverse Momentum Dependent Parton Distribution and Fragmentation Functions at next-to-next-to-leading order, JHEP 09 (2016) 004 [arXiv:1604.07869] [INSPIRE].
Y. Li and H.X. Zhu, Bootstrapping Rapidity Anomalous Dimensions for Transverse-Momentum Resummation, Phys. Rev. Lett. 118 (2017) 022004 [arXiv:1604.01404] [INSPIRE].
A.A. Vladimirov, Correspondence between Soft and Rapidity Anomalous Dimensions, Phys. Rev. Lett. 118 (2017) 062001 [arXiv:1610.05791] [INSPIRE].
S. Moch et al., Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond, JHEP 10 (2017) 041 [arXiv:1707.08315] [INSPIRE].
S. Moch et al., On quartic colour factors in splitting functions and the gluon cusp anomalous dimension, Phys. Lett. B 782 (2018) 627 [arXiv:1805.09638] [INSPIRE].
R.N. Lee, A.V. Smirnov, V.A. Smirnov and M. Steinhauser, Four-loop quark form factor with quartic fundamental colour factor, JHEP 02 (2019) 172 [arXiv:1901.02898] [INSPIRE].
M.-X. Luo, T.-Z. Yang, H.X. Zhu and Y.J. Zhu, Transverse Parton Distribution and Fragmentation Functions at NNLO: the Gluon Case, JHEP 01 (2020) 040 [arXiv:1909.13820] [INSPIRE].
J.M. Henn, G.P. Korchemsky and B. Mistlberger, The full four-loop cusp anomalous dimension in \( \mathcal{N} \) = 4 super Yang-Mills and QCD, JHEP 04 (2020) 018 [arXiv:1911.10174] [INSPIRE].
R. Brüser, A. Grozin, J.M. Henn and M. Stahlhofen, Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles, JHEP 05 (2019) 186 [arXiv:1902.05076] [INSPIRE].
J.M. Henn, T. Peraro, M. Stahlhofen and P. Wasser, Matter dependence of the four-loop cusp anomalous dimension, Phys. Rev. Lett. 122 (2019) 201602 [arXiv:1901.03693] [INSPIRE].
M.-X. Luo, T.-Z. Yang, H.X. Zhu and Y.J. Zhu, Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order, Phys. Rev. Lett. 124 (2020) 092001 [arXiv:1912.05778] [INSPIRE].
A. von Manteuffel, E. Panzer and R.M. Schabinger, Cusp and collinear anomalous dimensions in four-loop QCD from form factors, Phys. Rev. Lett. 124 (2020) 162001 [arXiv:2002.04617] [INSPIRE].
M.A. Ebert, B. Mistlberger and G. Vita, Transverse momentum dependent PDFs at N3LO, JHEP 09 (2020) 146 [arXiv:2006.05329] [INSPIRE].
M.-X. Luo, T.-Z. Yang, H.X. Zhu and Y.J. Zhu, Unpolarized quark and gluon TMD PDFs and FFs at N3LO, JHEP 06 (2021) 115 [arXiv:2012.03256] [INSPIRE].
S. Catani, M. Grazzini and A. Torre, Transverse-momentum resummation for heavy-quark hadroproduction, Nucl. Phys. B 890 (2014) 518 [arXiv:1408.4564] [INSPIRE].
P. Sun, C.-P. Yuan and F. Yuan, Transverse Momentum Resummation for Dijet Correlation in Hadronic Collisions, Phys. Rev. D 92 (2015) 094007 [arXiv:1506.06170] [INSPIRE].
P. Sun, J. Isaacson, C.-P. Yuan and F. Yuan, Resummation of High Order Corrections in Higgs Boson Plus Jet Production at the LHC, Phys. Lett. B 769 (2017) 57 [arXiv:1602.08133] [INSPIRE].
P. Sun, B. Yan, C.-P. Yuan and F. Yuan, Resummation of High Order Corrections in Z Boson Plus Jet Production at the LHC, Phys. Rev. D 100 (2019) 054032 [arXiv:1810.03804] [INSPIRE].
Y.-T. Chien, D.Y. Shao and B. Wu, Resummation of Boson-Jet Correlation at Hadron Colliders, JHEP 11 (2019) 025 [arXiv:1905.01335] [INSPIRE].
L. Buonocore, M. Grazzini, J. Haag and L. Rottoli, Transverse-momentum resummation for boson plus jet production at hadron colliders, Eur. Phys. J. C 82 (2022) 27 [arXiv:2110.06913] [INSPIRE].
S. Actis et al., RECOLA: REcursive Computation of One-Loop Amplitudes, Comput. Phys. Commun. 214 (2017) 140 [arXiv:1605.01090] [INSPIRE].
A. Denner, J.-N. Lang and S. Uccirati, Recola2: REcursive Computation of One-Loop Amplitudes 2, Comput. Phys. Commun. 224 (2018) 346 [arXiv:1711.07388] [INSPIRE].
A. Manohar, P. Nason, G.P. Salam and G. Zanderighi, How bright is the proton? A precise determination of the photon parton distribution function, Phys. Rev. Lett. 117 (2016) 242002 [arXiv:1607.04266] [INSPIRE].
A. Denner, S. Dittmaier, M. Roth and L.H. Wieders, Electroweak corrections to charged-current e+e− → 4 fermion processes: Technical details and further results, Nucl. Phys. B 724 (2005) 247 [hep-ph/0505042] [INSPIRE].
NNPDF collaboration, Illuminating the photon content of the proton within a global PDF analysis, SciPost Phys. 5 (2018) 008 [arXiv:1712.07053] [INSPIRE].
A. Buckley et al., LHAPDF6: parton density access in the LHC precision era, Eur. Phys. J. C 75 (2015) 132 [arXiv:1412.7420] [INSPIRE].
G.P. Salam and J. Rojo, A Higher Order Perturbative Parton Evolution Toolkit (HOPPET), Comput. Phys. Commun. 180 (2009) 120 [arXiv:0804.3755] [INSPIRE].
M. Grazzini, S. Kallweit and M. Wiesemann, Fully differential NNLO computations with MATRIX, Eur. Phys. J. C 78 (2018) 537 [arXiv:1711.06631] [INSPIRE].
S. Catani and M. Grazzini, An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC, Phys. Rev. Lett. 98 (2007) 222002 [hep-ph/0703012] [INSPIRE].
L. Buonocore, S. Kallweit, L. Rottoli and M. Wiesemann, Linear power corrections for two-body kinematics in the qT subtraction formalism, Phys. Lett. B 829 (2022) 137118 [arXiv:2111.13661] [INSPIRE].
S. Camarda, L. Cieri and G. Ferrera, Fiducial perturbative power corrections within the qT subtraction formalism, Eur. Phys. J. C 82 (2022) 575 [arXiv:2111.14509] [INSPIRE].
L. Buonocore, M. Grazzini and F. Tramontano, The qT subtraction method: electroweak corrections and power suppressed contributions, Eur. Phys. J. C 80 (2020) 254 [arXiv:1911.10166] [INSPIRE].
G. Bozzi, S. Catani, D. de Florian and M. Grazzini, Transverse-momentum resummation and the spectrum of the Higgs boson at the LHC, Nucl. Phys. B 737 (2006) 73 [hep-ph/0508068] [INSPIRE].
A. Banfi, G.P. Salam and G. Zanderighi, NLL+NNLO predictions for jet-veto efficiencies in Higgs-boson and Drell-Yan production, JHEP 06 (2012) 159 [arXiv:1203.5773] [INSPIRE].
NNPDF collaboration, Parton distributions from high-precision collider data, Eur. Phys. J. C 77 (2017) 663 [arXiv:1706.00428] [INSPIRE].
S. Catani and B.R. Webber, Infrared safe but infinite: Soft gluon divergences inside the physical region, JHEP 10 (1997) 005 [hep-ph/9710333] [INSPIRE].
S. Alioli et al., Precision studies of observables in pp → W → lνl and pp → γ, Z → l+l− processes at the LHC, Eur. Phys. J. C 77 (2017) 280 [arXiv:1606.02330] [INSPIRE].
ATLAS collaboration, Measurement of the Z/γ∗ boson transverse momentum distribution in pp collisions at \( \sqrt{s} \) = 7 TeV with the ATLAS detector, JHEP 09 (2014) 145 [arXiv:1406.3660] [INSPIRE].
P. Nason, A new method for combining NLO QCD with shower Monte Carlo algorithms, JHEP 11 (2004) 040 [hep-ph/0409146] [INSPIRE].
S. Alioli, P. Nason, C. Oleari and E. Re, A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX, JHEP 06 (2010) 043 [arXiv:1002.2581] [INSPIRE].
T. Binoth et al., A Proposal for a Standard Interface between Monte Carlo Tools and One-Loop Programs, Comput. Phys. Commun. 181 (2010) 1612 [arXiv:1001.1307] [INSPIRE].
S. Alioli et al., Update of the Binoth Les Houches Accord for a standard interface between Monte Carlo tools and one-loop programs, Comput. Phys. Commun. 185 (2014) 560 [arXiv:1308.3462] [INSPIRE].
A. Gehrmann-De Ridder et al., Next-to-Next-to-Leading-Order QCD Corrections to the Transverse Momentum Distribution of Weak Gauge Bosons, Phys. Rev. Lett. 120 (2018) 122001 [arXiv:1712.07543] [INSPIRE].
S. Alioli, P. Nason, C. Oleari and E. Re, NLO vector-boson production matched with shower in POWHEG, JHEP 07 (2008) 060 [arXiv:0805.4802] [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, PTEP 2022 (2022) 083C01 [INSPIRE].
L. Buonocore, Ultimate Precision for the Drell-Yan Process: Mixed QCDxQED(EW) Corrections, Final State Radiation and Power Suppressed Contributions, Ph.D. Thesis, Università degli Studi di Napoli Federico II, Universität of Zürich (2020) [INSPIRE].
Acknowledgments
We thank Massimiliano Grazzini, Pier Francesco Monni, Emanuele Re, and Alessandro Vicini for a careful reading of the manuscript. The work of LR has been supported by the SNSF under contract PZ00P2 201878. PT has been partially supported by the Italian Ministry of University and Research (MUR) through grant PRIN 2022BCXSW9, and by Compagnia di San Paolo through grant TORP_S1921_EX-POST_21_01. The work of LB is funded by the European Union (ERC, grant agreement No. 101044599, JANUS). Views and opinions expressed are however those of the authors only and do not necessarily reflect those of the European Union or the European Research Council Executive Agency. Neither the European Union nor the granting authority can be held responsible for them.
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Buonocore, L., Rottoli, L. & Torrielli, P. Resummation of combined QCD-electroweak effects in Drell Yan lepton-pair production. J. High Energ. Phys. 2024, 193 (2024). https://doi.org/10.1007/JHEP07(2024)193
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DOI: https://doi.org/10.1007/JHEP07(2024)193