Abstract
Infrared renormalons in Quantum Chromodynamics are associated with non-perturbative corrections to short distance observables. Linear renormalons, i.e. such that the associated non-perturbative corrections scale like one inverse power of the hard scale, can affect at a non-negligible level even the very high-energy phenomena studied at the Large Hadron Collider. Using an Abelian model, we study the presence of linear renormalons in the transverse momentum distribution of a neutral vector boson Z produced in hadronic collisions. We consider a process where the Z transverse momentum is balanced by a sizable recoil against a coloured final state particle. One may worry that such a colour configuration, not being azimuthally symmetric, could generate unbalanced soft radiation, associated in turn with linear infrared renormalons affecting the transverse momentum distribution of the vector boson. We performed a numerical calculation of the renormalon effects for this process in the so-called large b0 limit. We found no evidence of linear renormalons in the transverse momentum distribution of the Z in the large transverse-momentum region, irrespective of rapidity cuts.
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References
CMS collaboration, Measurement of the Z boson differential cross section in transverse momentum and rapidity in proton-proton collisions at 8 TeV, Phys. Lett. B 749 (2015) 187 [arXiv:1504.03511] [INSPIRE].
ATLAS collaboration, Measurement of the transverse momentum and \( {\phi}_{\eta}^{\ast } \) distributions of Drell-Yan lepton pairs in proton-proton collisions at \( \sqrt{s} \) = 8 TeV with the ATLAS detector, Eur. Phys. J. C 76 (2016) 291 [arXiv:1512.02192] [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].
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].
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].
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 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].
W. Bizon et al., The transverse momentum spectrum of weak gauge bosons at N3LL + NNLO, Eur. Phys. J. C 79 (2019) 868 [arXiv:1905.05171] [INSPIRE].
Y.L. Dokshitzer, D. Diakonov and S.I. Troian, On the transverse momentum distribution of massive lepton pairs, Phys. Lett. B 79 (1978) 269 [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].
W. Bizoń et al., Fiducial distributions in Higgs and Drell-Yan production at N3LL+NNLO, JHEP 12 (2018) 132 [arXiv:1805.05916] [INSPIRE].
R. Boughezal, A. Guffanti, F. Petriello and M. Ubiali, The impact of the LHC Z-boson transverse momentum data on PDF determinations, JHEP 07 (2017) 130 [arXiv:1705.00343] [INSPIRE].
D.J. Gross and A. Neveu, Dynamical symmetry breaking in asymptotically free field theories, Phys. Rev. D 10 (1974) 3235 [INSPIRE].
B.E. Lautrup, On high order estimates in QED, Phys. Lett. B 69 (1977) 109 [INSPIRE].
G. ’t Hooft, Can we make sense out of quantum chromodynamics?, Subnucl. Ser. 15 (1979) 943 [INSPIRE].
L.S. Brown and L.G. Yaffe, Asymptotic behavior of perturbation theory for the electromagnetic current-current correlation function in QCD, Phys. Rev. D 45 (1992) R398.
V. Zakharov, QCD perturbative expansions in large orders, Nucl. Phys. B 385 (1992) 452.
A.H. Mueller, On the structure of infrared renormalons in physical processes at high-energies, Nucl. Phys. B 250 (1985) 327 [INSPIRE].
M. Beneke, Renormalons, Phys. Rept. 317 (1999) 1 [hep-ph/9807443] [INSPIRE].
G. Parisi, On infrared divergences, Nucl. Phys. B 150 (1979) 163 [INSPIRE].
M. Beneke and V.M. Braun, Power corrections and renormalons in Drell-Yan production, Nucl. Phys. B 454 (1995) 253 [hep-ph/9506452] [INSPIRE].
M. Dasgupta, Power corrections to the differential Drell-Yan cross-section, JHEP 12 (1999) 008 [hep-ph/9911391] [INSPIRE].
S. Ferrario Ravasio, P. Nason and C. Oleari, All-orders behaviour and renormalons in top-mass observables, JHEP 01 (2019) 203 [arXiv:1810.10931] [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].
G. Bozzi, S. Catani, G. Ferrera, D. de Florian and M. Grazzini, 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, M. Neubert and D. Wilhelm, Electroweak gauge-boson production at small qT: infrared safety from the collinear anomaly, JHEP 02 (2012) 124 [arXiv:1109.6027] [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].
T. Becher and M. Hager, Event-based transverse momentum resummation, Eur. Phys. J. C 79 (2019) 665 [arXiv:1904.08325] [INSPIRE].
F. Hautmann, I. Scimemi and A. Vladimirov, Non-perturbative contributions to vector-boson transverse momentum spectra in hadronic collisions, Phys. Lett. B 806 (2020) 135478.
R. Angeles-Martinez et al., Transverse Momentum Dependent (TMD) parton distribution functions: status and prospects, Acta Phys. Polon. B 46 (2015) 2501 [arXiv:1507.05267] [INSPIRE].
T. Becher and G. Bell, Enhanced nonperturbative effects through the collinear anomaly, Phys. Rev. Lett. 112 (2014) 182002 [arXiv:1312.5327] [INSPIRE].
I. Scimemi and A. Vladimirov, Power corrections and renormalons in transverse momentum distributions, JHEP 03 (2017) 002 [arXiv:1609.06047] [INSPIRE].
P. Nason and M.H. Seymour, Infrared renormalons and power suppressed effects in e+e− jet events, Nucl. Phys. B 454 (1995) 291 [hep-ph/9506317] [INSPIRE].
Y.L. Dokshitzer, A. Lucenti, G. Marchesini and G.P. Salam, Universality of 1/Q corrections to jet-shape observables rescued, Nucl. Phys. B 511 (1998) 396 [Erratum ibid. 593 (2001) 729] [hep-ph/9707532] [INSPIRE].
Y.L. Dokshitzer, A. Lucenti, G. Marchesini and G.P. Salam, On the universality of the Milan factor for 1/Q power corrections to jet shapes, JHEP 05 (1998) 003 [hep-ph/9802381] [INSPIRE].
S. Frixione, P. Nason and C. Oleari, Matching NLO QCD computations with Parton Shower simulations: the POWHEG method, JHEP 11 (2007) 070 [arXiv:0709.2092] [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].
Maxima, Maxima, a computer algebra system, version 5.43.2, http://maxima.sourceforge.net/ (2020).
P. Nason, Maxima HEP package, (1986).
A. Denner, S. Dittmaier and L. Hofer, Collier: a fortran-based Complex One-Loop LIbrary in Extended Regularizations, Comput. Phys. Commun. 212 (2017) 220 [arXiv:1604.06792] [INSPIRE].
P. Ball, M. Beneke and V.M. Braun, Resummation of (β0αs)n corrections in QCD: techniques and applications to the tau hadronic width and the heavy quark pole mass, Nucl. Phys. B 452 (1995) 563 [hep-ph/9502300] [INSPIRE].
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Ravasio, S.F., Limatola, G. & Nason, P. Infrared renormalons in kinematic distributions for hadron collider processes. J. High Energ. Phys. 2021, 18 (2021). https://doi.org/10.1007/JHEP06(2021)018
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DOI: https://doi.org/10.1007/JHEP06(2021)018