Abstract
We present the implementation of several processes at Next-to-Next-to Leading Order (NNLO) accuracy in QCD in the parton-level Monte Carlo program MCFM. The processes treated are pp → H, W±, Z, W±H, ZH, W±γ, Zγ and γγ and, for the first time in the code, W+W−, W±Z and ZZ. Decays of the unstable bosons are fully included, resulting in a flexible fully differential Monte Carlo code. The NNLO corrections have been calculated using two non-local slicing approaches, isolating the doubly unresolved region by cutting on the zero-jettiness, \( \mathcal{T} \)0, or on qT, the transverse momentum of the colour singlet final-state particles. We find that for most, but not all processes the qT slicing method leads to smaller power corrections for equal computational burden.
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G. Heinrich, S. Jahn, S.P. Jones, M. Kerner and J. Pires, NNLO predictions for Z-boson pair production at the LHC, JHEP 03 (2018) 142 [arXiv:1710.06294] [INSPIRE].
M. Cepeda et al., Report from Working Group 2: Higgs Physics at the HL-LHC and HE-LHC, CERN Yellow Rep. Monogr. 7 (2019) 221 [arXiv:1902.00134] [INSPIRE].
J.M. Campbell and R.K. Ellis, An update on vector boson pair production at hadron colliders, Phys. Rev. D 60 (1999) 113006 [hep-ph/9905386] [INSPIRE].
J.M. Campbell, R.K. Ellis and C. Williams, Vector boson pair production at the LHC, JHEP 07 (2011) 018 [arXiv:1105.0020] [INSPIRE].
J.M. Campbell, R.K. Ellis and W.T. Giele, A Multi-Threaded Version of MCFM, Eur. Phys. J. C 75 (2015) 246 [arXiv:1503.06182] [INSPIRE].
J. Campbell and T. Neumann, Precision Phenomenology with MCFM, JHEP 12 (2019) 034 [arXiv:1909.09117] [INSPIRE].
I.W. Stewart, F.J. Tackmann and W.J. Waalewijn, N-Jettiness: An Inclusive Event Shape to Veto Jets, Phys. Rev. Lett. 105 (2010) 092002 [arXiv:1004.2489] [INSPIRE].
R. Boughezal, C. Focke, X. Liu and F. Petriello, W-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD, Phys. Rev. Lett. 115 (2015) 062002 [arXiv:1504.02131] [INSPIRE].
J. Gaunt, M. Stahlhofen, F.J. Tackmann and J.R. Walsh, N-jettiness Subtractions for NNLO QCD Calculations, JHEP 09 (2015) 058 [arXiv:1505.04794] [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].
R. Boughezal et al., Z-boson production in association with a jet at next-to-next-to-leading order in perturbative QCD, Phys. Rev. Lett. 116 (2016) 152001 [arXiv:1512.01291] [INSPIRE].
J.M. Campbell, R.K. Ellis and C. Williams, Direct Photon Production at Next-to-Next-to-Leading Order, Phys. Rev. Lett. 118 (2017) 222001 [Erratum ibid. 124 (2020) 259901] [arXiv:1612.04333] [INSPIRE].
J.M. Campbell, R.K. Ellis and S. Seth, H + 1 jet production revisited, JHEP 10 (2019) 136 [arXiv:1906.01020] [INSPIRE].
R. Mondini and C. Williams, Bottom-induced contributions to Higgs plus jet at next-to-next-to-leading order, JHEP 05 (2021) 045 [arXiv:2102.05487] [INSPIRE].
G. Heinrich, Collider Physics at the Precision Frontier, Phys. Rept. 922 (2021) 1 [arXiv:2009.00516] [INSPIRE].
C. Anastasiou, K. Melnikov and F. Petriello, Higgs boson production at hadron colliders: Differential cross sections through next-to-next-to-leading order, Phys. Rev. Lett. 93 (2004) 262002 [hep-ph/0409088] [INSPIRE].
C. Anastasiou, K. Melnikov and F. Petriello, Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order, Nucl. Phys. B 724 (2005) 197 [hep-ph/0501130] [INSPIRE].
B. Mistlberger, Higgs boson production at hadron colliders at N3LO in QCD, JHEP 05 (2018) 028 [arXiv:1802.00833] [INSPIRE].
L. Cieri, X. Chen, T. Gehrmann, E.W.N. Glover and A. Huss, Higgs boson production at the LHC using the qT subtraction formalism at N3LO QCD, JHEP 02 (2019) 096 [arXiv:1807.11501] [INSPIRE].
X. Chen, T. Gehrmann, E.W.N. Glover, A. Huss, B. Mistlberger and A. Pelloni, Fully Differential Higgs Boson Production to Third Order in QCD, Phys. Rev. Lett. 127 (2021) 072002 [arXiv:2102.07607] [INSPIRE].
R. Boughezal et al., Color singlet production at NNLO in MCFM, Eur. Phys. J. C 77 (2017) 7 [arXiv:1605.08011] [INSPIRE].
K. Melnikov and F. Petriello, The W boson production cross section at the LHC through O(\( {\alpha}_s^2 \)), Phys. Rev. Lett. 96 (2006) 231803 [hep-ph/0603182] [INSPIRE].
S. Catani, L. Cieri, G. Ferrera, D. de Florian and M. Grazzini, Vector boson production at hadron colliders: a fully exclusive QCD calculation at NNLO, Phys. Rev. Lett. 103 (2009) 082001 [arXiv:0903.2120] [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].
K. Melnikov and F. Petriello, Electroweak gauge boson production at hadron colliders through O(\( {\alpha}_s^2 \)), Phys. Rev. D 74 (2006) 114017 [hep-ph/0609070] [INSPIRE].
G. Ferrera, M. Grazzini and F. Tramontano, Associated ZH production at hadron colliders: the fully differential NNLO QCD calculation, Phys. Lett. B 740 (2015) 51 [arXiv:1407.4747] [INSPIRE].
J.M. Campbell, R.K. Ellis and C. Williams, Associated production of a Higgs boson at NNLO, JHEP 06 (2016) 179 [arXiv:1601.00658] [INSPIRE].
M. Grazzini, S. Kallweit and D. Rathlev, Wγ and Zγ production at the LHC in NNLO QCD, JHEP 07 (2015) 085 [arXiv:1504.01330] [INSPIRE].
T. Cridge, M.A. Lim and R. Nagar, Wγ production at NNLO+PS accuracy in Geneva, Phys. Lett. B 826 (2022) 136918 [arXiv:2105.13214] [INSPIRE].
J.M. Campbell, G. De Laurentis, R.K. Ellis and S. Seth, The pp → W(→ lν) + γ process at next-to-next-to-leading order, JHEP 07 (2021) 079 [arXiv:2105.00954] [INSPIRE].
J.M. Campbell, T. Neumann and C. Williams, Zγ Production at NNLO Including Anomalous Couplings, JHEP 11 (2017) 150 [arXiv:1708.02925] [INSPIRE].
S. Catani, L. Cieri, D. de Florian, G. Ferrera and M. Grazzini, Diphoton production at hadron colliders: a fully-differential QCD calculation at NNLO, Phys. Rev. Lett. 108 (2012) 072001 [Erratum ibid. 117 (2016) 089901] [arXiv:1110.2375] [INSPIRE].
S. Catani, L. Cieri, D. de Florian, G. Ferrera and M. Grazzini, Diphoton production at the LHC: a QCD study up to NNLO, JHEP 04 (2018) 142 [arXiv:1802.02095] [INSPIRE].
S. Alioli et al., Precise predictions for photon pair production matched to parton showers in GENEVA, JHEP 04 (2021) 041 [arXiv:2010.10498] [INSPIRE].
J.M. Campbell, R.K. Ellis, Y. Li and C. Williams, Predictions for diphoton production at the LHC through NNLO in QCD, JHEP 07 (2016) 148 [arXiv:1603.02663] [INSPIRE].
M. Brucherseifer, F. Caola and K. Melnikov, On the NNLO QCD corrections to single-top production at the LHC, Phys. Lett. B 736 (2014) 58 [arXiv:1404.7116] [INSPIRE].
J. Campbell, T. Neumann and Z. Sullivan, Single-top-quark production in the t-channel at NNLO, JHEP 02 (2021) 040 [arXiv:2012.01574] [INSPIRE].
G. Ferrera, M. Grazzini and F. Tramontano, Higher-order QCD effects for associated WH production and decay at the LHC, JHEP 04 (2014) 039 [arXiv:1312.1669] [INSPIRE].
F. Caola, G. Luisoni, K. Melnikov and R. Röntsch, NNLO QCD corrections to associated WH production and H → \( b\overline{b} \) decay, Phys. Rev. D 97 (2018) 074022 [arXiv:1712.06954] [INSPIRE].
M. Grazzini, S. Kallweit, D. Rathlev and M. Wiesemann, W±Z production at hadron colliders in NNLO QCD, Phys. Lett. B 761 (2016) 179 [arXiv:1604.08576] [INSPIRE].
M. Grazzini, S. Kallweit, D. Rathlev and M. Wiesemann, W±Z production at the LHC: fiducial cross sections and distributions in NNLO QCD, JHEP 05 (2017) 139 [arXiv:1703.09065] [INSPIRE].
F. Cascioli et al., ZZ production at hadron colliders in NNLO QCD, Phys. Lett. B 735 (2014) 311 [arXiv:1405.2219] [INSPIRE].
M. Grazzini, S. Kallweit and D. Rathlev, ZZ production at the LHC: fiducial cross sections and distributions in NNLO QCD, Phys. Lett. B 750 (2015) 407 [arXiv:1507.06257] [INSPIRE].
F. Caola, K. Melnikov, R. Röntsch and L. Tancredi, QCD corrections to ZZ production in gluon fusion at the LHC, Phys. Rev. D 92 (2015) 094028 [arXiv:1509.06734] [INSPIRE].
S. Kallweit and M. Wiesemann, ZZ production at the LHC: NNLO predictions for 2ℓ2ν and 4ℓ signatures, Phys. Lett. B 786 (2018) 382 [arXiv:1806.05941] [INSPIRE].
M. Grazzini, S. Kallweit, M. Wiesemann and J.Y. Yook, ZZ production at the LHC: NLO QCD corrections to the loop-induced gluon fusion channel, JHEP 03 (2019) 070 [arXiv:1811.09593] [INSPIRE].
T. Gehrmann et al., W+W− Production at Hadron Colliders in Next to Next to Leading Order QCD, Phys. Rev. Lett. 113 (2014) 212001 [arXiv:1408.5243] [INSPIRE].
F. Caola, K. Melnikov, R. Röntsch and L. Tancredi, QCD corrections to W+W− production through gluon fusion, Phys. Lett. B 754 (2016) 275 [arXiv:1511.08617] [INSPIRE].
M. Grazzini, S. Kallweit, S. Pozzorini, D. Rathlev and M. Wiesemann, W+W− production at the LHC: fiducial cross sections and distributions in NNLO QCD, JHEP 08 (2016) 140 [arXiv:1605.02716] [INSPIRE].
M. Grazzini, S. Kallweit, M. Wiesemann and J.Y. Yook, W+W− production at the LHC: NLO QCD corrections to the loop-induced gluon fusion channel, Phys. Lett. B 804 (2020) 135399 [arXiv:2002.01877] [INSPIRE].
R. Boughezal, X. Liu and F. Petriello, W-boson plus jet differential distributions at NNLO in QCD, Phys. Rev. D 94 (2016) 113009 [arXiv:1602.06965] [INSPIRE].
A. Gehrmann-De Ridder, T. Gehrmann, E.W.N. Glover, A. Huss and D.M. Walker, 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].
A. Gehrmann-De Ridder, T. Gehrmann, E.W.N. Glover, A. Huss and T.A. Morgan, Precise QCD predictions for the production of a Z boson in association with a hadronic jet, Phys. Rev. Lett. 117 (2016) 022001 [arXiv:1507.02850] [INSPIRE].
A. Gehrmann-De Ridder, T. Gehrmann, E.W.N. Glover, A. Huss and T.A. Morgan, The NNLO QCD corrections to Z boson production at large transverse momentum, JHEP 07 (2016) 133 [arXiv:1605.04295] [INSPIRE].
X. Chen, T. Gehrmann, N. Glover, M. Höfer and A. Huss, Isolated photon and photon+jet production at NNLO QCD accuracy, JHEP 04 (2020) 166 [arXiv:1904.01044] [INSPIRE].
R. Boughezal, F. Caola, K. Melnikov, F. Petriello and M. Schulze, Higgs boson production in association with a jet at next-to-next-to-leading order in perturbative QCD, JHEP 06 (2013) 072 [arXiv:1302.6216] [INSPIRE].
X. Chen, T. Gehrmann, E.W.N. Glover and M. Jaquier, Precise QCD predictions for the production of Higgs + jet final states, Phys. Lett. B 740 (2015) 147 [arXiv:1408.5325] [INSPIRE].
R. Boughezal, F. Caola, K. Melnikov, F. Petriello and M. Schulze, Higgs boson production in association with a jet at next-to-next-to-leading order, Phys. Rev. Lett. 115 (2015) 082003 [arXiv:1504.07922] [INSPIRE].
R. Boughezal, C. Focke, W. Giele, X. Liu and F. Petriello, Higgs boson production in association with a jet at NNLO using jettiness subtraction, Phys. Lett. B 748 (2015) 5 [arXiv:1505.03893] [INSPIRE].
F. Caola, K. Melnikov and M. Schulze, Fiducial cross sections for Higgs boson production in association with a jet at next-to-next-to-leading order in QCD, Phys. Rev. D 92 (2015) 074032 [arXiv:1508.02684] [INSPIRE].
X. Chen, T. Gehrmann, N. Glover and M. Jaquier, Higgs plus one jet production at NNLO, PoS RADCOR2015 (2016) 056 [arXiv:1604.04085] [INSPIRE].
M. Czakon, P. Fiedler, D. Heymes and A. Mitov, NNLO QCD predictions for fully-differential top-quark pair production at the Tevatron, JHEP 05 (2016) 034 [arXiv:1601.05375] [INSPIRE].
G. Abelof, A. Gehrmann-De Ridder and I. Majer, Top quark pair production at NNLO in the quark-antiquark channel, JHEP 12 (2015) 074 [arXiv:1506.04037] [INSPIRE].
S. Catani, S. Devoto, M. Grazzini, S. Kallweit and J. Mazzitelli, Top-quark pair production at the LHC: Fully differential QCD predictions at NNLO, JHEP 07 (2019) 100 [arXiv:1906.06535] [INSPIRE].
S. Catani, S. Devoto, M. Grazzini, S. Kallweit, J. Mazzitelli and H. Sargsyan, Top-quark pair hadroproduction at next-to-next-to-leading order in QCD, Phys. Rev. D 99 (2019) 051501 [arXiv:1901.04005] [INSPIRE].
M. Czakon, A. Mitov and R. Poncelet, NNLO QCD corrections to leptonic observables in top-quark pair production and decay, JHEP 05 (2021) 212 [arXiv:2008.11133] [INSPIRE].
S. Catani, S. Devoto, M. Grazzini, S. Kallweit and J. Mazzitelli, Top-quark pair hadroproduction at NNLO: differential predictions with the \( \overline{MS} \) mass, JHEP 08 (2020) 027 [arXiv:2005.00557] [INSPIRE].
R. Gauld, A. Gehrmann-De Ridder, E.W.N. Glover, A. Huss and I. Majer, Predictions for Z-Boson Production in Association with a b-Jet at \( \mathcal{O} \)(\( {\alpha}_s^3 \)), Phys. Rev. Lett. 125 (2020) 222002 [arXiv:2005.03016] [INSPIRE].
R. Gauld, A. Gehrmann-De Ridder, E.W.N. Glover, A. Huss and I. Majer, Precise predictions for WH+jet production at the LHC, Phys. Lett. B 817 (2021) 136335 [arXiv:2009.14209] [INSPIRE].
R. Gauld, A. Gehrmann-De Ridder, E.W.N. Glover, A. Huss and I. Majer, VH + jet production in hadron-hadron collisions up to order \( {\alpha}_s^3 \) in perturbative QCD, JHEP 03 (2022) 008 [arXiv:2110.12992] [INSPIRE].
M. Cacciari, F.A. Dreyer, A. Karlberg, G.P. Salam and G. Zanderighi, Fully Differential Vector-Boson-Fusion Higgs Production at Next-to-Next-to-Leading Order, Phys. Rev. Lett. 115 (2015) 082002 [Erratum ibid. 120 (2018) 139901] [arXiv:1506.02660] [INSPIRE].
A. Buckley et al., A comparative study of Higgs boson production from vector-boson fusion, JHEP 11 (2021) 108 [arXiv:2105.11399] [INSPIRE].
C. Anastasiou, F. Herzog and A. Lazopoulos, The fully differential decay rate of a Higgs boson to bottom-quarks at NNLO in QCD, JHEP 03 (2012) 035 [arXiv:1110.2368] [INSPIRE].
V. Del Duca, C. Duhr, G. Somogyi, F. Tramontano and Z. Trócsányi, Higgs boson decay into b-quarks at NNLO accuracy, JHEP 04 (2015) 036 [arXiv:1501.07226] [INSPIRE].
R. Mondini, M. Schiavi and C. Williams, N3LO predictions for the decay of the Higgs boson to bottom quarks, JHEP 06 (2019) 079 [arXiv:1904.08960] [INSPIRE].
J. Gao, C.S. Li and H.X. Zhu, Top Quark Decay at Next-to-Next-to Leading Order in QCD, Phys. Rev. Lett. 110 (2013) 042001 [arXiv:1210.2808] [INSPIRE].
M. Brucherseifer, F. Caola and K. Melnikov, \( \mathcal{O} \)(\( {\alpha}_s^2 \)) corrections to fully-differential top quark decays, JHEP 04 (2013) 059 [arXiv:1301.7133] [INSPIRE].
J. Currie, A. Gehrmann-De Ridder, T. Gehrmann, N. Glover, J. Pires and S. Wells, Second order QCD corrections to gluonic jet production at hadron colliders, PoS LL2014 (2014) 001 [arXiv:1407.5558] [INSPIRE].
J. Currie, E.W.N. Glover and J. Pires, Next-to-Next-to Leading Order QCD Predictions for Single Jet Inclusive Production at the LHC, Phys. Rev. Lett. 118 (2017) 072002 [arXiv:1611.01460] [INSPIRE].
A. Gehrmann-De Ridder, T. Gehrmann, E.W.N. Glover, A. Huss and J. Pires, Triple Differential Dijet Cross Section at the LHC, Phys. Rev. Lett. 123 (2019) 102001 [arXiv:1905.09047] [INSPIRE].
H.A. Chawdhry, M. Czakon, A. Mitov and R. Poncelet, NNLO QCD corrections to diphoton production with an additional jet at the LHC, JHEP 09 (2021) 093 [arXiv:2105.06940] [INSPIRE].
M. Czakon, A. Mitov, M. Pellen and R. Poncelet, NNLO QCD predictions for W+c-jet production at the LHC, JHEP 06 (2021) 100 [arXiv:2011.01011] [INSPIRE].
S. Catani, S. Devoto, M. Grazzini, S. Kallweit and J. Mazzitelli, Bottom-quark production at hadron colliders: fully differential predictions in NNLO QCD, JHEP 03 (2021) 029 [arXiv:2010.11906] [INSPIRE].
H.A. Chawdhry, M.L. Czakon, A. Mitov and R. Poncelet, NNLO QCD corrections to three-photon production at the LHC, JHEP 02 (2020) 057 [arXiv:1911.00479] [INSPIRE].
S. Kallweit, V. Sotnikov and M. Wiesemann, Triphoton production at hadron colliders in NNLO QCD, Phys. Lett. B 812 (2021) 136013 [arXiv:2010.04681] [INSPIRE].
M. Grazzini et al., Higgs boson pair production at NNLO with top quark mass effects, JHEP 05 (2018) 059 [arXiv:1803.02463] [INSPIRE].
D. de Florian, I. Fabre and J. Mazzitelli, Triple Higgs production at hadron colliders at NNLO in QCD, JHEP 03 (2020) 155 [arXiv:1912.02760] [INSPIRE].
M. Grazzini, S. Kallweit, J.M. Lindert, S. Pozzorini and M. Wiesemann, NNLO QCD + NLO EW with Matrix+OpenLoops: precise predictions for vector-boson pair production, JHEP 02 (2020) 087 [arXiv:1912.00068] [INSPIRE].
F. Buccioni et al., OpenLoops 2, Eur. Phys. J. C 79 (2019) 866 [arXiv:1907.13071] [INSPIRE].
T. Gehrmann and L. Tancredi, Two-loop QCD helicity amplitudes for \( q\overline{q} \) → W±γ and \( q\overline{q} \) → Z0 γ, JHEP 02 (2012) 004 [arXiv:1112.1531] [INSPIRE].
T. Gehrmann, A. von Manteuffel and L. Tancredi, The two-loop helicity amplitudes for \( q\overline{q} \)′ → V1V2 → 4 leptons, JHEP 09 (2015) 128 [arXiv:1503.04812] [INSPIRE].
S. Alekhin, A. Kardos, S. Moch and Z. Trócsányi, Precision studies for Drell-Yan processes at NNLO, Eur. Phys. J. C 81 (2021) 573 [arXiv:2104.02400] [INSPIRE].
G.P. Salam and E. Slade, Cuts for two-body decays at colliders, JHEP 11 (2021) 220 [arXiv:2106.08329] [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, arXiv:2111.14509 [INSPIRE].
T. Becher and T. Neumann, Fiducial qT resummation of color-singlet processes at N3LL+NNLO, JHEP 03 (2021) 199 [arXiv:2009.11437] [INSPIRE].
T. Neumann, The diphoton qT spectrum at N3LL′ + NNLO, Eur. Phys. J. C 81 (2021) 905 [arXiv:2107.12478] [INSPIRE].
M. Grazzini, S. Kallweit, D. Rathlev and M. Wiesemann, Transverse-momentum resummation for vector-boson pair production at NNLL+NNLO, JHEP 08 (2015) 154 [arXiv:1507.02565] [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].
M. Wiesemann, L. Rottoli and P. Torrielli, The Zγ transverse-momentum spectrum at NNLO+N3LL, Phys. Lett. B 809 (2020) 135718 [arXiv:2006.09338] [INSPIRE].
S. Alioli, A. Broggio and M.A. Lim, Zero-jettiness resummation for top-quark pair production at the LHC, JHEP 01 (2022) 066 [arXiv:2111.03632] [INSPIRE].
C.W. Bauer, S. Fleming and M.E. Luke, Summing Sudakov logarithms in B → Xsγ in effective field theory, Phys. Rev. D 63 (2000) 014006 [hep-ph/0005275] [INSPIRE].
C.W. Bauer, S. Fleming, D. Pirjol and I.W. Stewart, An effective field theory for collinear and soft gluons: Heavy to light decays, Phys. Rev. D 63 (2001) 114020 [hep-ph/0011336] [INSPIRE].
C.W. Bauer and I.W. Stewart, Invariant operators in collinear effective theory, Phys. Lett. B 516 (2001) 134 [hep-ph/0107001] [INSPIRE].
C.W. Bauer, D. Pirjol and I.W. Stewart, Soft collinear factorization in effective field theory, Phys. Rev. D 65 (2002) 054022 [hep-ph/0109045] [INSPIRE].
C.W. Bauer, S. Fleming, D. Pirjol, I.Z. Rothstein and I.W. Stewart, Hard scattering factorization from effective field theory, Phys. Rev. D 66 (2002) 014017 [hep-ph/0202088] [INSPIRE].
J.R. Gaunt, M. Stahlhofen and F.J. Tackmann, The Quark Beam Function at Two Loops, JHEP 04 (2014) 113 [arXiv:1401.5478] [INSPIRE].
J. Gaunt, M. Stahlhofen and F.J. Tackmann, The Gluon Beam Function at Two Loops, JHEP 08 (2014) 020 [arXiv:1405.1044] [INSPIRE].
R. Kelley, M.D. Schwartz, R.M. Schabinger and H.X. Zhu, The two-loop hemisphere soft function, Phys. Rev. D 84 (2011) 045022 [arXiv:1105.3676] [INSPIRE].
P.F. Monni, T. Gehrmann and G. Luisoni, Two-Loop Soft Corrections and Resummation of the Thrust Distribution in the Dijet Region, JHEP 08 (2011) 010 [arXiv:1105.4560] [INSPIRE].
I. Moult, L. Rothen, I.W. Stewart, F.J. Tackmann and H.X. Zhu, Subleading Power Corrections for N-Jettiness Subtractions, Phys. Rev. D 95 (2017) 074023 [arXiv:1612.00450] [INSPIRE].
R. Boughezal, X. Liu and F. Petriello, Power Corrections in the N-jettiness Subtraction Scheme, JHEP 03 (2017) 160 [arXiv:1612.02911] [INSPIRE].
R. Boughezal, A. Isgrò and F. Petriello, Next-to-leading-logarithmic power corrections for N-jettiness subtraction in color-singlet production, Phys. Rev. D 97 (2018) 076006 [arXiv:1802.00456] [INSPIRE].
I. Moult, L. Rothen, I.W. Stewart, F.J. Tackmann and H.X. Zhu, N-jettiness subtractions for gg → H at subleading power, Phys. Rev. D 97 (2018) 014013 [arXiv:1710.03227] [INSPIRE].
M.A. Ebert, I. Moult, I.W. Stewart, F.J. Tackmann, G. Vita and H.X. Zhu, Power Corrections for N-Jettiness Subtractions at \( \mathcal{O} \)(αs), JHEP 12 (2018) 084 [arXiv:1807.10764] [INSPIRE].
J.C. Collins and D.E. Soper, Back-To-Back Jets in QCD, Nucl. Phys. B 193 (1981) 381 [Erratum ibid. 213 (1983) 545] [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].
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].
X.-d. Ji, J.-p. Ma and F. Yuan, QCD factorization for semi-inclusive deep-inelastic scattering at low transverse momentum, Phys. Rev. D 71 (2005) 034005 [hep-ph/0404183] [INSPIRE].
X.-d. Ji, J.-P. Ma and F. Yuan, QCD factorization for spin-dependent cross sections in DIS and Drell-Yan processes at low transverse momentum, Phys. Lett. B 597 (2004) 299 [hep-ph/0405085] [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].
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].
T. Becher, M. Neubert and D. Wilhelm, Higgs-Boson Production at Small Transverse Momentum, JHEP 05 (2013) 110 [arXiv:1212.2621] [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].
G. Billis, M.A. Ebert, J.K.L. Michel and F.J. Tackmann, A toolbox for qT and 0-jettiness subtractions at N3LO, Eur. Phys. J. Plus 136 (2021) 214 [arXiv:1909.00811] [INSPIRE].
M.A. Ebert, I. Moult, I.W. Stewart, F.J. Tackmann, G. Vita and H.X. Zhu, Subleading power rapidity divergences and power corrections for qT, JHEP 04 (2019) 123 [arXiv:1812.08189] [INSPIRE].
L. Cieri, C. Oleari and M. Rocco, Higher-order power corrections in a transverse-momentum cut for colour-singlet production at NLO, Eur. Phys. J. C 79 (2019) 852 [arXiv:1906.09044] [INSPIRE].
C. Oleari and M. Rocco, Power corrections in a transverse-momentum cut for vector-boson production at NNLO: the qg-initiated real-virtual contribution, Eur. Phys. J. C 81 (2021) 183 [arXiv:2012.10538] [INSPIRE].
T. Matsuura and W.L. van Neerven, Second Order Logarithmic Corrections to the Drell-Yan Cross-section, Z. Phys. C 38 (1988) 623 [INSPIRE].
T. Gehrmann, T. Huber and D. Maître, Two-loop quark and gluon form-factors in dimensional regularisation, Phys. Lett. B 622 (2005) 295 [hep-ph/0507061] [INSPIRE].
S. Dawson, Radiative corrections to Higgs boson production, Nucl. Phys. B 359 (1991) 283 [INSPIRE].
A. Djouadi, M. Spira and P.M. Zerwas, Production of Higgs bosons in proton colliders: QCD corrections, Phys. Lett. B 264 (1991) 440 [INSPIRE].
V. Ahrens, T. Becher, M. Neubert and L.L. Yang, Renormalization-Group Improved Prediction for Higgs Production at Hadron Colliders, Eur. Phys. J. C 62 (2009) 333 [arXiv:0809.4283] [INSPIRE].
C. Anastasiou, E.W.N. Glover and M.E. Tejeda-Yeomans, Two loop QED and QCD corrections to massless fermion boson scattering, Nucl. Phys. B 629 (2002) 255 [hep-ph/0201274] [INSPIRE].
L. Naterop, A. Signer and Y. Ulrich, handyG —Rapid numerical evaluation of generalised polylogarithms in Fortran, Comput. Phys. Commun. 253 (2020) 107165 [arXiv:1909.01656] [INSPIRE].
J.M. Campbell, D.J. Miller and T. Robens, Next-to-Leading Order Predictions for WW+Jet Production, Phys. Rev. D 92 (2015) 014033 [arXiv:1506.04801] [INSPIRE].
J.M. Campbell, G. De Laurentis and R.K. Ellis, Vector boson pair production at one loop: analytic results for the process \( q\overline{q}\ell \overline{\ell}{\ell}^{\prime }{\overline{\ell}}^{\prime }g \), arXiv:2203.17170 [INSPIRE].
S. Actis, A. Denner, L. Hofer, J.-N. Lang, A. Scharf and S. Uccirati, 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].
J.M. Campbell, S. Höche and C.T. Preuss, Accelerating LHC phenomenology with analytic one-loop amplitudes: A C++ interface to MCFM, Eur. Phys. J. C 81 (2021) 1117 [arXiv:2107.04472] [INSPIRE].
C.F. Berger, C. Marcantonini, I.W. Stewart, F.J. Tackmann and W.J. Waalewijn, Higgs Production with a Central Jet Veto at NNLL+NNLO, JHEP 04 (2011) 092 [arXiv:1012.4480] [INSPIRE].
A. Denner and S. Dittmaier, The Complex-mass scheme for perturbative calculations with unstable particles, Nucl. Phys. B Proc. Suppl. 160 (2006) 22 [hep-ph/0605312] [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, Chin. Phys. C 40 (2016) 100001 [INSPIRE].
NNPDF collaboration, Parton distributions for the LHC Run II, JHEP 04 (2015) 040 [arXiv:1410.8849] [INSPIRE].
R.K. Ellis, D.A. Ross and A.E. Terrano, The Perturbative Calculation of Jet Structure in e+e− Annihilation, Nucl. Phys. B 178 (1981) 421 [INSPIRE].
S. Catani and M.H. Seymour, A general algorithm for calculating jet cross-sections in NLO QCD, Nucl. Phys. B 485 (1997) 291 [Erratum ibid. 510 (1998) 503] [hep-ph/9605323] [INSPIRE].
O. Brein, A. Djouadi and R. Harlander, NNLO QCD corrections to the Higgs-strahlung processes at hadron colliders, Phys. Lett. B 579 (2004) 149 [hep-ph/0307206] [INSPIRE].
O. Brein, R.V. Harlander and T.J.E. Zirke, vh@nnlo — Higgs Strahlung at hadron colliders, Comput. Phys. Commun. 184 (2013) 998 [arXiv:1210.5347] [INSPIRE].
L. Buonocore, M. Grazzini, J. Haag, L. Rottoli and C. Savoini, Effective transverse momentum in multiple jet production at hadron colliders, arXiv:2201.11519 [INSPIRE].
S.D. Ellis and W.J. Stirling, Quark Form-factors and Leading Double Logarithms in QCD, Phys. Rev. D 23 (1981) 214 [INSPIRE].
S. Catani, The singular behavior of QCD amplitudes at two loop order, Phys. Lett. B 427 (1998) 161 [hep-ph/9802439] [INSPIRE].
T. Becher, G. Bell, C. Lorentzen and S. Marti, Transverse-momentum spectra of electroweak bosons near threshold at NNLO, JHEP 02 (2014) 004 [arXiv:1309.3245] [INSPIRE].
S. Catani, L. Cieri, D. de Florian, G. Ferrera and M. Grazzini, Universality of transverse-momentum resummation and hard factors at the NNLO, Nucl. Phys. B 881 (2014) 414 [arXiv:1311.1654] [INSPIRE].
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Campbell, J.M., Ellis, R.K. & Seth, S. Non-local slicing approaches for NNLO QCD in MCFM. J. High Energ. Phys. 2022, 2 (2022). https://doi.org/10.1007/JHEP06(2022)002
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DOI: https://doi.org/10.1007/JHEP06(2022)002