Abstract
We construct a novel event generator for the process \( pp\to {\ell}^{-}{\overline{\nu}}_{\ell }{\ell^{\prime}}^{+}{\nu}_{\ell^{\prime }} \), which matches fixed-order predictions at next-to-next-to-leading order in the strong coupling to a parton shower program. The matching is achieved using the Geneva method, in this case exploiting a resummed calculation for the hardest jet transverse momentum at next-to-next-to-leading logarithmic accuracy obtained via soft-collinear effective theory and implemented in the C++ library SCETlib. This choice of resolution variable ensures that the introduction of a jet veto, commonly used by experimental analyses to reject multi-jet background events, does not result in the appearance of unmitigated large logarithms for low veto scales before showering. After validating our partonic results against publicly available fixed order and resummed calculations, we compare our predictions to measurements taken at the ATLAS and CMS experiments, finding good agreement. This is the first NNLO+PS accurate event generator to use the hardest jet transverse momentum as a resolution variable.
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References
S. Alioli et al., Combining Higher-Order Resummation with Multiple NLO Calculations and Parton Showers in GENEVA, JHEP 09 (2013) 120 [arXiv:1211.7049] [INSPIRE].
P.F. Monni et al., MiNNLOPS: a new method to match NNLO QCD to parton showers, JHEP 05 (2020) 143 [Erratum ibid. 02 (2022) 031] [arXiv:1908.06987] [INSPIRE].
J.M. Campbell et al., Towards NNLO+PS matching with sector showers, Phys. Lett. B 836 (2023) 137614 [arXiv:2108.07133] [INSPIRE].
I.W. Stewart, F.J. Tackmann and W.J. Waalewijn, Factorization at the LHC: From PDFs to Initial State Jets, Phys. Rev. D 81 (2010) 094035 [arXiv:0910.0467] [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].
S. Alioli et al., Drell-Yan production at NNLL′+NNLO matched to parton showers, Phys. Rev. D 92 (2015) 094020 [arXiv:1508.01475] [INSPIRE].
S. Alioli et al., Higgsstrahlung at NNLL′+NNLO matched to parton showers in GENEVA, Phys. Rev. D 100 (2019) 096016 [arXiv:1909.02026] [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].
S. Alioli et al., Resummed predictions for hadronic Higgs boson decays, JHEP 04 (2021) 254 [arXiv:2009.13533] [INSPIRE].
S. Alioli et al., Next-to-next-to-leading order event generation for Z boson pair production matched to parton shower, Phys. Lett. B 818 (2021) 136380 [arXiv:2103.01214] [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].
S. Alioli et al., Double Higgs production at NNLO interfaced to parton showers in GENEVA, JHEP 06 (2023) 205 [arXiv:2212.10489] [INSPIRE].
S. Alioli et al., Refining the GENEVA method for Higgs boson production via gluon fusion, JHEP 05 (2023) 128 [arXiv:2301.11875] [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].
S. Alioli et al., Matching NNLO predictions to parton showers using N3LL color-singlet transverse momentum resummation in geneva, Phys. Rev. D 104 (2021) 094020 [arXiv:2102.08390] [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].
W. Bizon et al., Momentum-space resummation for transverse observables and the Higgs p⊥ at N3LL+NNLO, JHEP 02 (2018) 108 [arXiv:1705.09127] [INSPIRE].
E. Re, M. Wiesemann and G. Zanderighi, NNLOPS accurate predictions for W+W− production, JHEP 12 (2018) 121 [arXiv:1805.09857] [INSPIRE].
D. Lombardi, M. Wiesemann and G. Zanderighi, W+W− production at NNLO+PS with MINNLOPS, JHEP 11 (2021) 230 [arXiv:2103.12077] [INSPIRE].
A. Banfi, P.F. Monni, G.P. Salam and G. Zanderighi, Higgs and Z-boson production with a jet veto, Phys. Rev. Lett. 109 (2012) 202001 [arXiv:1206.4998] [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].
A. Banfi et al., Jet-vetoed Higgs cross section in gluon fusion at N3LO+NNLL with small-R resummation, JHEP 04 (2016) 049 [arXiv:1511.02886] [INSPIRE].
T. Becher and M. Neubert, Factorization and NNLL Resummation for Higgs Production with a Jet Veto, JHEP 07 (2012) 108 [arXiv:1205.3806] [INSPIRE].
F.J. Tackmann, J.R. Walsh and S. Zuberi, Resummation Properties of Jet Vetoes at the LHC, Phys. Rev. D 86 (2012) 053011 [arXiv:1206.4312] [INSPIRE].
T. Becher, M. Neubert and L. Rothen, Factorization and N3LLp + NNLO predictions for the Higgs cross section with a jet veto, JHEP 10 (2013) 125 [arXiv:1307.0025] [INSPIRE].
I.W. Stewart, F.J. Tackmann, J.R. Walsh and S. Zuberi, Jet pT resummation in Higgs production at NNLL′ + NNLO, Phys. Rev. D 89 (2014) 054001 [arXiv:1307.1808] [INSPIRE].
T. Becher, R. Frederix, M. Neubert and L. Rothen, Automated NNLL+NLO resummation for jet-veto cross sections, Eur. Phys. J. C 75 (2015) 154 [arXiv:1412.8408] [INSPIRE].
I. Moult and I.W. Stewart, Jet Vetoes interfering with H → WW, JHEP 09 (2014) 129 [arXiv:1405.5534] [INSPIRE].
P.F. Monni and G. Zanderighi, On the excess in the inclusive W+W− → \( {l}^{+}{l}^{-}\nu \overline{\nu} \) cross section, JHEP 05 (2015) 013 [arXiv:1410.4745] [INSPIRE].
Y. Wang, C.S. Li and Z.L. Liu, Resummation prediction on gauge boson pair production with a jet veto, Phys. Rev. D 93 (2016) 094020 [arXiv:1504.00509] [INSPIRE].
S. Dawson et al., Resummation of jet veto logarithms at N3LLa + NNLO for W+W− production at the LHC, Phys. Rev. D 94 (2016) 114014 [arXiv:1606.01034] [INSPIRE].
L. Arpino, A. Banfi, S. Jäger and N. Kauer, BSM WW production with a jet veto, JHEP 08 (2019) 076 [arXiv:1905.06646] [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].
X. Liu and F. Petriello, Resummation of jet-veto logarithms in hadronic processes containing jets, Phys. Rev. D 87 (2013) 014018 [arXiv:1210.1906] [INSPIRE].
X. Liu and F. Petriello, Reducing theoretical uncertainties for exclusive Higgs-boson plus one-jet production at the LHC, Phys. Rev. D 87 (2013) 094027 [arXiv:1303.4405] [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].
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].
J.M. Campbell, R.K. Ellis, T. Neumann and S. Seth, Jet-veto resummation at N3LLp + NNLO in boson production processes, JHEP 04 (2023) 106 [arXiv:2301.11768] [INSPIRE].
T.M. Figy and W.T. Giele, A Forward Branching Phase Space Generator for Hadron colliders, JHEP 10 (2018) 203 [arXiv:1806.09678] [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].
J.-Y. Chiu, A. Jain, D. Neill and I.Z. Rothstein, The Rapidity Renormalization Group, Phys. Rev. Lett. 108 (2012) 151601 [arXiv:1104.0881] [INSPIRE].
J.-Y. Chiu, A. Jain, D. Neill and I.Z. Rothstein, A Formalism for the Systematic Treatment of Rapidity Logarithms in Quantum Field Theory, JHEP 05 (2012) 084 [arXiv:1202.0814] [INSPIRE].
M. Cacciari, G.P. Salam and G. Soyez, The anti-kt jet clustering algorithm, JHEP 04 (2008) 063 [arXiv:0802.1189] [INSPIRE].
Y. Li, D. Neill and H.X. Zhu, An exponential regulator for rapidity divergences, Nucl. Phys. B 960 (2020) 115193 [arXiv:1604.00392] [INSPIRE].
S. Abreu, J.R. Gaunt, P.F. Monni and R. Szafron, The analytic two-loop soft function for leading-jet pT, JHEP 08 (2022) 268 [arXiv:2204.02987] [INSPIRE].
G. Bell, K. Brune, G. Das and M. Wald, The NNLO quark beam function for jet-veto resummation, JHEP 01 (2023) 083 [arXiv:2207.05578] [INSPIRE].
S. Abreu et al., Quark and gluon two-loop beam functions for leading-jet pT and slicing at NNLO, JHEP 04 (2023) 127 [arXiv:2207.07037] [INSPIRE].
S. Moch, J.A.M. Vermaseren and A. Vogt, The Three loop splitting functions in QCD: The Nonsinglet case, Nucl. Phys. B 688 (2004) 101 [hep-ph/0403192] [INSPIRE].
A. Vogt, S. Moch and J.A.M. Vermaseren, The Three-loop splitting functions in QCD: The Singlet case, Nucl. Phys. B 691 (2004) 129 [hep-ph/0404111] [INSPIRE].
G.P. Korchemsky and A.V. Radyushkin, Renormalization of the Wilson Loops Beyond the Leading Order, Nucl. Phys. B 283 (1987) 342 [INSPIRE].
O.V. Tarasov, A.A. Vladimirov and A.Y. Zharkov, The Gell-Mann-Low Function of QCD in the Three Loop Approximation, Phys. Lett. B 93 (1980) 429 [INSPIRE].
S.A. Larin and J.A.M. Vermaseren, The Three loop QCD Beta function and anomalous dimensions, Phys. Lett. B 303 (1993) 334 [hep-ph/9302208] [INSPIRE].
M. Dasgupta, F. Dreyer, G.P. Salam and G. Soyez, Small-radius jets to all orders in QCD, JHEP 04 (2015) 039 [arXiv:1411.5182] [INSPIRE].
J.K.L. Michel, P. Pietrulewicz and F.J. Tackmann, Jet Veto Resummation with Jet Rapidity Cuts, JHEP 04 (2019) 142 [arXiv:1810.12911] [INSPIRE].
P. Cal, M.A. Lim, D. Scott, F.J. Tackmann and W.J. Waalewijn, Jet veto resummation for pp → H + jet with NNLL′+NNLO uncertainties, in preparation (2023).
M. Arratia, Z.-B. Kang, A. Prokudin and F. Ringer, Jet-based measurements of Sivers and Collins asymmetries at the future electron-ion collider, Phys. Rev. D 102 (2020) 074015 [arXiv:2007.07281] [INSPIRE].
A. Banfi, G. Marchesini and G. Smye, Away from jet energy flow, JHEP 08 (2002) 006 [hep-ph/0206076] [INSPIRE].
M.D. Schwartz and H.X. Zhu, Nonglobal logarithms at three loops, four loops, five loops, and beyond, Phys. Rev. D 90 (2014) 065004 [arXiv:1403.4949] [INSPIRE].
M.A. Ebert et al., SCETlib: A C++ Package for Numerical Calculations in QCD and Soft-Collinear Effective Theory, DESY-17-099 (2018).
F. Buccioni et al., OpenLoops 2, Eur. Phys. J. C 79 (2019) 866 [arXiv:1907.13071] [INSPIRE].
T. Gehrmann, A. von Manteuffel and L. Tancredi, The two-loop helicity amplitudes for \( q{\overline{q}}^{\prime } \) → V1V2 → 4 leptons, JHEP 09 (2015) 128 [arXiv:1503.04812] [INSPIRE].
Z. Ligeti, I.W. Stewart and F.J. Tackmann, Treating the b quark distribution function with reliable uncertainties, Phys. Rev. D 78 (2008) 114014 [arXiv:0807.1926] [INSPIRE].
R. Abbate et al., Thrust at N3LL with Power Corrections and a Precision Global Fit for αs(mZ), Phys. Rev. D 83 (2011) 074021 [arXiv:1006.3080] [INSPIRE].
C.F. Berger et al., Higgs Production with a Central Jet Veto at NNLL+NNLO, JHEP 04 (2011) 092 [arXiv:1012.4480] [INSPIRE].
S. Alioli and J.R. Walsh, Jet Veto Clustering Logarithms Beyond Leading Order, JHEP 03 (2014) 119 [arXiv:1311.5234] [INSPIRE].
R. Corke and T. Sjöstrand, Improved Parton Showers at Large Transverse Momenta, Eur. Phys. J. C 69 (2010) 1 [arXiv:1003.2384] [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].
S. Bailey et al., Parton distributions from LHC, HERA, Tevatron and fixed target data: MSHT20 PDFs, Eur. Phys. J. C 81 (2021) 341 [arXiv:2012.04684] [INSPIRE].
T. Cridge, L.A. Harland-Lang, A.D. Martin and R.S. Thorne, An investigation of the αS and heavy quark mass dependence in the MSHT20 global PDF analysis, Eur. Phys. J. C 81 (2021) 744 [arXiv:2106.10289] [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].
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].
D.Y. Bardin, A. Leike, T. Riemann and M. Sachwitz, Energy Dependent Width Effects in e+e− Annihilation Near the Z Boson Pole, Phys. Lett. B 206 (1988) 539 [INSPIRE].
NNPDF collaboration, Parton distributions from high-precision collider data, Eur. Phys. J. C 77 (2017) 663 [arXiv:1706.00428] [INSPIRE].
M. Grazzini et al., 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 and M. Wiesemann, Fully differential NNLO computations with MATRIX, Eur. Phys. J. C 78 (2018) 537 [arXiv:1711.06631] [INSPIRE].
T. Sjöstrand, S. Mrenna and P.Z. Skands, A Brief Introduction to PYTHIA 8.1, Comput. Phys. Commun. 178 (2008) 852 [arXiv:0710.3820] [INSPIRE].
ATLAS collaboration, Measurement of fiducial and differential W+W− production cross-sections at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Eur. Phys. J. C 79 (2019) 884 [arXiv:1905.04242] [INSPIRE].
CMS collaboration, W+W− boson pair production in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Phys. Rev. D 102 (2020) 092001 [arXiv:2009.00119] [INSPIRE].
ATLAS collaboration, Measurements of W+W− production cross sections in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, ATLAS-CONF-2023-012 (2023).
F. Caola et al., QCD corrections to vector boson pair production in gluon fusion including interference effects with off-shell Higgs at the LHC, JHEP 07 (2016) 087 [arXiv:1605.04610] [INSPIRE].
A. Buckley et al., Rivet user manual, Comput. Phys. Commun. 184 (2013) 2803 [arXiv:1003.0694] [INSPIRE].
M. Grazzini et al., NNLO QCD + NLO EW with Matrix+OpenLoops: precise predictions for vector-boson pair production, JHEP 02 (2020) 087 [arXiv:1912.00068] [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, 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].
S. Alioli, S. Ferrario Ravasio, J.M. Lindert and R. Röntsch, Four-lepton production in gluon fusion at NLO matched to parton showers, Eur. Phys. J. C 81 (2021) 687 [arXiv:2102.07783] [INSPIRE].
Acknowledgments
We thank Andrea Banfi, Alessandro Broggio, Keith Ellis and Rikkert Frederix for useful discussions, Daniel Gillies for assistance with running MCFM10 and Stefan Kallweit for providing us with the Matrix data used in our comparison. We also thank Pedro Cal, Darren Scott and Wouter Waalewijn for related collaboration. We are grateful to our other SCETlib and Geneva collaborators for their ongoing work on the code, and to the Lawrence Berkeley National Laboratory for hospitality while part of this work was completed. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant agreements 101002090 COLORFREE and 714788 REINVENT). MAL is supported by the UKRI guarantee scheme for the Marie Skłodowska-Curie postdoctoral fellowship, grant ref. EP/X021416/1. We acknowledge the use of computing resources made available by the Cambridge Service for Data Driven Discovery (CSD3), part of which is operated by the University of Cambridge Research Computing on behalf of the STFC DiRAC HPC Facility (www.dirac.ac.uk). The DiRAC component of CSD3 was funded by BEIS capital funding via STFC capital grants ST/P002307/1 and ST/R002452/1 and STFC operations grant ST/R00689X/1. DiRAC is part of the National e-Infrastructure.
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Gavardi, A., Lim, M.A., Alioli, S. et al. NNLO+PS W+W− production using jet veto resummation at NNLL′. J. High Energ. Phys. 2023, 69 (2023). https://doi.org/10.1007/JHEP12(2023)069
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DOI: https://doi.org/10.1007/JHEP12(2023)069