Abstract
We re-examine the current state of the art for the calculation of photon- initiated processes at the LHC, as formulated in terms of a photon PDF in the proton that may be determined rather precisely from the known proton structure functions. We in particular demonstrate that a by construction more precise calculation is provided by a direct application of the structure function approach, best known from the case of Higgs Boson production via vector boson fusion. This avoids any artificial scale variation uncertainties, which can otherwise be rather significant for processes calculated within the standard approach thus far. To understand the source of these, we present a detailed comparison of the structure function approach and its relation to the photon PDF. We then provide precise predictions for the photon-initiated contribution to lepton pair production at the LHC, including the lepton pair transverse momentum distribution. Thus, by a direct application of the structure function formalism we show how the contribution from initial-state photons at the LHC may for the first time be included with high precision in a universal and straightforward way, providing a high definition picture of the photon content of the proton.
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References
A.D. Martin, R.G. Roberts, W.J. Stirling and R.S. Thorne, Parton distributions incorporating QED contributions, Eur. Phys. J. C 39 (2005) 155 [hep-ph/0411040] [INSPIRE].
C. Schmidt, J. Pumplin, D. Stump and C.P. Yuan, CT14QED parton distribution functions from isolated photon production in deep inelastic scattering, Phys. Rev. D 93 (2016) 114015 [arXiv:1509.02905] [INSPIRE].
NNPDF collaboration, Parton distributions with QED corrections, Nucl. Phys. B 877 (2013) 290 [arXiv:1308.0598] [INSPIRE].
xFitter Developers’ Team collaboration, The photon PDF from high-mass Drell-Yan data at the LHC, Eur. Phys. J. C 77 (2017) 400 [arXiv:1701.08553] [INSPIRE].
L.A. Harland-Lang, V.A. Khoze and M.G. Ryskin, The photon PDF in events with rapidity gaps, Eur. Phys. J. C 76 (2016) 255 [arXiv:1601.03772] [INSPIRE].
L.A. Harland-Lang, V.A. Khoze and M.G. Ryskin, Photon-initiated processes at high mass, Phys. Rev. D 94 (2016) 074008 [arXiv:1607.04635] [INSPIRE].
V.M. Budnev, I.F. Ginzburg, G.V. Meledin and V.G. Serbo, The Two photon particle production mechanism. Physical problems. Applications. Equivalent photon approximation, Phys. Rept. 15 (1975) 181 [INSPIRE].
H. Anlauf, H.D. Dahmen, P. Manakos, T. Mannel and T. Ohl, KRONOS: A Monte Carlo event generator for higher order electromagnetic radiative corrections to deep inelastic scattering at HERA, Comput. Phys. Commun. 70 (1992) 97 [INSPIRE].
J. Blumlein, G. Levman and H. Spiesberger, On the measurement of the proton structure at small Q2 , J. Phys. G 19 (1993) 1695 [INSPIRE].
A. Mukherjee and C. Pisano, Manifestly covariant analysis of the QED Compton process in ep → eγp and ep → eγX , Eur. Phys. J. C 30 (2003) 477 [hep-ph/0306275] [INSPIRE].
M. Łuszczak, W. Schäfer and A. Szczurek, Two-photon dilepton production in proton-proton collisions: two alternative approaches, Phys. Rev. D 93 (2016) 074018 [arXiv:1510.00294] [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.V. Manohar, P. Nason, G.P. Salam and G. Zanderighi, The Photon Content of the Proton, JHEP 12 (2017) 046 [arXiv:1708.01256] [INSPIRE].
L.A. Harland-Lang, A.D. Martin, R. Nathvani and R.S. Thorne, Ad Lucem: QED Parton Distribution Functions in the MMHT Framework, Eur. Phys. J. C 79 (2019) 811 [arXiv:1907.02750] [INSPIRE].
NNPDF collaboration, Illuminating the photon content of the proton within a global PDF analysis, SciPost Phys. 5 (2018) 008 [arXiv:1712.07053] [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].
J. Baglio, L.D. Ninh and M.M. Weber, Massive gauge boson pair production at the LHC: a next-to-leading order story, Phys. Rev. D 88 (2013) 113005 [Erratum ibid. D 94 (2016) 099902] [arXiv:1307.4331] [INSPIRE].
S. Kallweit, J.M. Lindert, S. Pozzorini and M. Schönherr, NLO QCD+EW predictions for 2£2ν diboson signatures at the LHC, JHEP 11 (2017) 120 [arXiv:1705.00598] [INSPIRE].
T. Han, G. Valencia and S. Willenbrock, Structure function approach to vector boson scattering in p p collisions, Phys. Rev. Lett. 69 (1992) 3274 [hep-ph/9206246] [INSPIRE].
T. Figy, C. Oleari and D. Zeppenfeld, Next-to-leading order jet distributions for Higgs boson production via weak boson fusion, Phys. Rev. D 68 (2003) 073005 [hep-ph/0306109] [INSPIRE].
P. Bolzoni, F. Maltoni, S.-O. Moch and M. Zaro, Higgs production via vector-boson fusion at NNLO in QCD, Phys. Rev. Lett. 105 (2010) 011801 [arXiv:1003.4451] [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].
J. Cruz-Martinez, T. Gehrmann, E.W.N. Glover and A. Huss, Second-order QCD effects in Higgs boson production through vector boson fusion, Phys. Lett. B 781 (2018) 672 [arXiv:1802.02445] [INSPIRE].
F.A. Dreyer and A. Karlberg, Vector-Boson Fusion Higgs Production at Three Loops in QCD, Phys. Rev. Lett. 117 (2016) 072001 [arXiv:1606.00840] [INSPIRE].
G.G. da Silveira, L. Forthomme, K. Piotrzkowski, W. Schäfer and A. Szczurek, Central μ+ μ− production via photon-photon fusion in proton-proton collisions with proton dissociation, JHEP 02 (2015) 159 [arXiv:1409.1541] [INSPIRE].
M. Dyndal, A. Glazov, M. Luszczak and R. Sadykov, Probing the photonic content of the proton using photon-induced dilepton production in p+Pb collisions at the LHC, Phys. Rev. D 99 (2019) 114008 [arXiv:1901.06305] [INSPIRE].
A.B. Arbuzov and R.R. Sadykov, Inverse bremsstrahlung contributions to Drell-Yan like processes, J. Exp. Theor. Phys. 106 (2008) 488 [arXiv:0707.0423] [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].
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].
T. Liu, K. Melnikov and A.A. Penin, Nonfactorizable QCD Effects in Higgs Boson Production via Vector Boson Fusion, Phys. Rev. Lett. 123 (2019) 122002 [arXiv:1906.10899] [INSPIRE].
L.A. Harland-Lang, V.A. Khoze and M.G. Ryskin, Sudakov effects in photon-initiated processes, Phys. Lett. B 761 (2016) 20 [arXiv:1605.04935] [INSPIRE].
V. Bertone, S. Carrazza and J. Rojo, APFEL: A PDF Evolution Library with QED corrections, Comput. Phys. Commun. 185 (2014) 1647 [arXiv:1310.1394] [INSPIRE].
L. Harland-Lang, J. Jaeckel and M. Spannowsky, A fresh look at ALP searches in fixed target experiments, Phys. Lett. B 793 (2019) 281 [arXiv:1902.04878] [INSPIRE].
T. Carli et al., A posteriori inclusion of parton density functions in NLO QCD final-state calculations at hadron colliders: The APPLGRID Project, Eur. Phys. J. C 66 (2010) 503 [arXiv:0911.2985] [INSPIRE].
R. Boughezal et al., Color singlet production at NNLO in MCFM, Eur. Phys. J. C 77 (2017) 7 [arXiv:1605.08011] [INSPIRE].
A1 collaboration, Electric and magnetic form factors of the proton, Phys. Rev. C 90 (2014) 015206 [arXiv:1307.6227] [INSPIRE].
CLAS collaboration, A Kinematically complete measurement of the proton structure function F (2) in the resonance region and evaluation of its moments, Phys. Rev. D 67 (2003) 092001 [hep-ph/0301204] [INSPIRE].
HERMES collaboration, Inclusive Measurements of Inelastic Electron and Positron Scattering from Unpolarized Hydrogen and Deuterium Targets, JHEP 05 (2011) 126 [arXiv:1103.5704] [INSPIRE].
M.E. Christy and P.E. Bosted, Empirical fit to precision inclusive electron-proton cross-sections in the resonance region, Phys. Rev. C 81 (2010) 055213 [arXiv:0712.3731] [INSPIRE].
W. Bizoń et al., Fiducial distributions in Higgs and Drell-Yan production at N3 LL+NNLO, JHEP 12 (2018) 132 [arXiv:1805.05916] [INSPIRE].
fastNLO collaboration, Theory-Data Comparisons for Jet Measurements in Hadron-Induced Processes, arXiv:1109.1310 [INSPIRE].
M. Ciccolini, A. Denner and S. Dittmaier, Electroweak and QCD corrections to Higgs production via vector-boson fusion at the LHC, Phys. Rev. D 77 (2008) 013002 [arXiv:0710.4749] [INSPIRE].
L.A. Harland-Lang, V.A. Khoze and M.G. Ryskin, Exclusive LHC physics with heavy ions: SuperChic 3, Eur. Phys. J. C 79 (2019) 39 [arXiv:1810.06567] [INSPIRE].
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Harland-Lang, L. The proton in high definition: revisiting photon-initiated production in high energy collisions. J. High Energ. Phys. 2020, 128 (2020). https://doi.org/10.1007/JHEP03(2020)128
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DOI: https://doi.org/10.1007/JHEP03(2020)128