NNLOJET manual

\(\newcommand{\footnotename}{footnote}\) \(\def \LWRfootnote {1}\) \(\newcommand {\footnote }[2][\LWRfootnote ]{{}^{\mathrm {#1}}}\) \(\newcommand {\footnotemark }[1][\LWRfootnote ]{{}^{\mathrm {#1}}}\) \(\let \LWRorighspace \hspace \) \(\renewcommand {\hspace }{\ifstar \LWRorighspace \LWRorighspace }\) \(\newcommand {\TextOrMath }[2]{#2}\) \(\newcommand {\mathnormal }[1]{{#1}}\) \(\newcommand \ensuremath [1]{#1}\) \(\newcommand {\LWRframebox }[2][]{\fbox {#2}} \newcommand {\framebox }[1][]{\LWRframebox } \) \(\newcommand {\setlength }[2]{}\) \(\newcommand {\addtolength }[2]{}\) \(\newcommand {\setcounter }[2]{}\) \(\newcommand {\addtocounter }[2]{}\) \(\newcommand {\arabic }[1]{}\) \(\newcommand {\number }[1]{}\) \(\newcommand {\noalign }[1]{\text {#1}\notag \\}\) \(\newcommand {\cline }[1]{}\) \(\newcommand {\directlua }[1]{\text {(directlua)}}\) \(\newcommand {\luatexdirectlua }[1]{\text {(directlua)}}\) \(\newcommand {\protect }{}\) \(\def \LWRabsorbnumber #1 {}\) \(\def 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{\mathop {#2\strut }\limits ^{\smash {\lower 3ex{#1}}}}\strut }}\) \(\def\alphaup{\unicode{x03B1}}\) \(\def\betaup{\unicode{x03B2}}\) \(\def\varbetaup{\unicode{x03D0}}\) \(\def\gammaup{\unicode{x03B3}}\) \(\def\digammaup{\unicode{x03DD}}\) \(\def\deltaup{\unicode{x03B4}}\) \(\def\epsilonup{\unicode{x03F5}}\) \(\def\varepsilonup{\unicode{x03B5}}\) \(\def\zetaup{\unicode{x03B6}}\) \(\def\etaup{\unicode{x03B7}}\) \(\def\thetaup{\unicode{x03B8}}\) \(\def\varthetaup{\unicode{x03D1}}\) \(\def\iotaup{\unicode{x03B9}}\) \(\def\kappaup{\unicode{x03BA}}\) \(\def\varkappaup{\unicode{x03F0}}\) \(\def\lambdaup{\unicode{x03BB}}\) \(\def\muup{\unicode{x03BC}}\) \(\def\nuup{\unicode{x03BD}}\) \(\def\xiup{\unicode{x03BE}}\) \(\def\omicronup{\unicode{x03BF}}\) \(\def\piup{\unicode{x03C0}}\) \(\def\varpiup{\unicode{x03D6}}\) \(\def\rhoup{\unicode{x03C1}}\) \(\def\varrhoup{\unicode{x03F1}}\) \(\def\sigmaup{\unicode{x03C3}}\) \(\def\varsigmaup{\unicode{x03C2}}\) \(\def\tauup{\unicode{x03C4}}\) \(\def\upsilonup{\unicode{x03C5}}\) \(\def\phiup{\unicode{x03D5}}\) \(\def\varphiup{\unicode{x03C6}}\) \(\def\chiup{\unicode{x03C7}}\) \(\def\psiup{\unicode{x03C8}}\) \(\def\omegaup{\unicode{x03C9}}\) \(\def\Alphaup{\unicode{x0391}}\) \(\def\Betaup{\unicode{x0392}}\) \(\def\Gammaup{\unicode{x0393}}\) \(\def\Digammaup{\unicode{x03DC}}\) \(\def\Deltaup{\unicode{x0394}}\) \(\def\Epsilonup{\unicode{x0395}}\) \(\def\Zetaup{\unicode{x0396}}\) \(\def\Etaup{\unicode{x0397}}\) \(\def\Thetaup{\unicode{x0398}}\) \(\def\Varthetaup{\unicode{x03F4}}\) \(\def\Iotaup{\unicode{x0399}}\) \(\def\Kappaup{\unicode{x039A}}\) \(\def\Lambdaup{\unicode{x039B}}\) \(\def\Muup{\unicode{x039C}}\) \(\def\Nuup{\unicode{x039D}}\) \(\def\Xiup{\unicode{x039E}}\) \(\def\Omicronup{\unicode{x039F}}\) \(\def\Piup{\unicode{x03A0}}\) \(\def\Varpiup{\unicode{x03D6}}\) \(\def\Rhoup{\unicode{x03A1}}\) \(\def\Sigmaup{\unicode{x03A3}}\) \(\def\Tauup{\unicode{x03A4}}\) \(\def\Upsilonup{\unicode{x03A5}}\) \(\def\Phiup{\unicode{x03A6}}\) \(\def\Chiup{\unicode{x03A7}}\) \(\def\Psiup{\unicode{x03A8}}\) \(\def\Omegaup{\unicode{x03A9}}\) \(\def\alphait{\unicode{x1D6FC}}\) \(\def\betait{\unicode{x1D6FD}}\) \(\def\varbetait{\unicode{x03D0}}\) \(\def\gammait{\unicode{x1D6FE}}\) \(\def\digammait{\mathit{\unicode{x03DD}}}\) \(\def\deltait{\unicode{x1D6FF}}\) \(\def\epsilonit{\unicode{x1D716}}\) \(\def\varepsilonit{\unicode{x1D700}}\) \(\def\zetait{\unicode{x1D701}}\) \(\def\etait{\unicode{x1D702}}\) \(\def\thetait{\unicode{x1D703}}\) \(\def\varthetait{\unicode{x1D717}}\) \(\def\iotait{\unicode{x1D704}}\) \(\def\kappait{\unicode{x1D705}}\) \(\def\varkappait{\unicode{x1D718}}\) \(\def\lambdait{\unicode{x1D706}}\) \(\def\muit{\unicode{x1D707}}\) \(\def\nuit{\unicode{x1D708}}\) \(\def\xiit{\unicode{x1D709}}\) \(\def\omicronit{\unicode{x1D70A}}\) \(\def\piit{\unicode{x1D70B}}\) \(\def\varpiit{\unicode{x1D71B}}\) \(\def\rhoit{\unicode{x1D70C}}\) \(\def\varrhoit{\unicode{x1D71A}}\) \(\def\sigmait{\unicode{x1D70E}}\) \(\def\varsigmait{\unicode{x1D70D}}\) \(\def\tauit{\unicode{x1D70F}}\) \(\def\upsilonit{\unicode{x1D710}}\) \(\def\phiit{\unicode{x1D719}}\) \(\def\varphiit{\unicode{x1D711}}\) \(\def\chiit{\unicode{x1D712}}\) \(\def\psiit{\unicode{x1D713}}\) \(\def\omegait{\unicode{x1D714}}\) \(\def\Alphait{\unicode{x1D6E2}}\) \(\def\Betait{\unicode{x1D6E3}}\) \(\def\Gammait{\unicode{x1D6E4}}\) \(\def\Digammait{\mathit{\unicode{x03DC}}}\) \(\def\Deltait{\unicode{x1D6E5}}\) \(\def\Epsilonit{\unicode{x1D6E6}}\) \(\def\Zetait{\unicode{x1D6E7}}\) \(\def\Etait{\unicode{x1D6E8}}\) \(\def\Thetait{\unicode{x1D6E9}}\) \(\def\Varthetait{\unicode{x1D6F3}}\) \(\def\Iotait{\unicode{x1D6EA}}\) \(\def\Kappait{\unicode{x1D6EB}}\) \(\def\Lambdait{\unicode{x1D6EC}}\) \(\def\Muit{\unicode{x1D6ED}}\) \(\def\Nuit{\unicode{x1D6EE}}\) \(\def\Xiit{\unicode{x1D6EF}}\) \(\def\Omicronit{\unicode{x1D6F0}}\) \(\def\Piit{\unicode{x1D6F1}}\) \(\def\Rhoit{\unicode{x1D6F2}}\) \(\def\Sigmait{\unicode{x1D6F4}}\) \(\def\Tauit{\unicode{x1D6F5}}\) \(\def\Upsilonit{\unicode{x1D6F6}}\) \(\def\Phiit{\unicode{x1D6F7}}\) \(\def\Chiit{\unicode{x1D6F8}}\) \(\def\Psiit{\unicode{x1D6F9}}\) \(\def\Omegait{\unicode{x1D6FA}}\) \(\let \digammaup \Digammaup \) \(\renewcommand {\digammait }{\mathit {\digammaup }}\) \(\newcommand {\smallin }{\mathrel {\unicode {x220A}}}\) \(\newcommand {\smallowns }{\mathrel {\unicode {x220D}}}\) \(\newcommand {\notsmallin }{\mathrel {\LWRoverlaysymbols {/}{\unicode {x220A}}}}\) \(\newcommand {\notsmallowns }{\mathrel {\LWRoverlaysymbols {/}{\unicode {x220D}}}}\) \(\newcommand {\rightangle }{\mathord {\unicode {x221F}}}\) \(\newcommand {\intclockwise }{\mathop {\unicode {x2231}}\limits }\) \(\newcommand {\ointclockwise }{\mathop {\unicode {x2232}}\limits }\) \(\newcommand {\ointctrclockwise }{\mathop {\unicode {x2233}}\limits }\) \(\newcommand {\oiint }{\mathop {\unicode {x222F}}\limits }\) \(\newcommand {\oiiint }{\mathop {\unicode {x2230}}\limits }\) \(\newcommand {\ddag }{\unicode {x2021}}\) \(\newcommand {\P }{\unicode {x00B6}}\) \(\newcommand {\copyright }{\unicode {x00A9}}\) \(\newcommand {\dag }{\unicode {x2020}}\) \(\newcommand {\pounds }{\unicode {x00A3}}\) \(\newcommand {\iddots }{\mathinner {\unicode {x22F0}}}\) \(\newcommand {\utimes }{\mathbin {\overline {\times }}}\) \(\newcommand {\dtimes }{\mathbin {\underline {\times }}}\) \(\newcommand {\udtimes }{\mathbin {\overline {\underline {\times }}}}\) \(\newcommand {\leftwave }{\left \{}\) \(\newcommand {\rightwave }{\right \}}\)

References

[1] A. Gehrmann-De Ridder, T. Gehrmann and E. W. N. Glover, Antenna subtraction at NNLO, JHEP 09, 056 (2005), doi:10.1088/1126-6708/2005/09/056, [hep-ph/0505111].
[2] A. Daleo, T. Gehrmann and D. Maitre, Antenna subtraction with hadronic initial states, JHEP 04, 016 (2007), doi:10.1088/1126-6708/2007/04/016, [hep-ph/0612257].
[3] J. Currie, E. W. N. Glover and S. Wells, Infrared Structure at NNLO Using Antenna Subtraction, JHEP 04, 066 (2013), doi:10.1007/JHEP04(2013)066, [1301.4693].
[4] S. Catani, The Singular behavior of QCD amplitudes at two loop order, Phys. Lett. B 427, 161 (1998), doi:10.1016/S0370-2693(98)00332-3, [hep-ph/9802439].
[5] J. M. Campbell and E. W. N. Glover, Double unresolved approximations to multiparton scattering amplitudes, Nucl. Phys. B 527, 264 (1998), doi:10.1016/S0550-3213(98)00295-8, [hep-ph/9710255].
[6] S. Catani and M. Grazzini, Infrared factorization of tree level QCD amplitudes at the next-to-next-to-leading order and beyond, Nucl. Phys. B 570, 287 (2000), doi:10.1016/S0550-3213(99)00778-6, [hep-ph/9908523].
[7] S. Catani and M. Grazzini, The soft gluon current at one loop order, Nucl. Phys. B 591, 435 (2000), doi:10.1016/S0550-3213(00)00572-1, [hep-ph/0007142].
[8] D. A. Kosower and P. Uwer, One loop splitting amplitudes in gauge theory, Nucl. Phys. B 563, 477 (1999), doi:10.1016/S0550-3213(99)00583-0, [hep-ph/9903515].
[9] Z. Bern, V. Del Duca, W. B. Kilgore and C. R. Schmidt, The infrared behavior of one loop QCD amplitudes at next-to-next-to leading order, Phys. Rev. D 60, 116001 (1999), doi:10.1103/PhysRevD.60.116001, [hep-ph/9903516].
[10] A. Gehrmann-De Ridder, T. Gehrmann and E. W. N. Glover, Infrared structure of \(e^+e^-\to \) 2 jets at NNLO, Nucl. Phys. B 691, 195 (2004), doi:10.1016/j.nuclphysb.2004.05.017, [hep-ph/0403057].
[11] A. Gehrmann-De Ridder, T. Gehrmann and E. W. N. Glover, Quark-gluon antenna functions from neutralino decay, Phys. Lett. B 612, 36 (2005), doi:10.1016/j.physletb.2005.02.039, [hep-ph/0501291].
[12] A. Gehrmann-De Ridder, T. Gehrmann and E. W. N. Glover, Gluon-gluon antenna functions from Higgs boson decay, Phys. Lett. B 612, 49 (2005), doi:10.1016/j.physletb.2005.03.003, [hep-ph/0502110].
[13] D. A. Kosower, Multiple singular emission in gauge theories, Phys. Rev. D 67, 116003 (2003), doi:10.1103/PhysRevD.67.116003, [hep-ph/0212097].
[14] A. Daleo, A. Gehrmann-De Ridder, T. Gehrmann and G. Luisoni, Antenna subtraction at NNLO with hadronic initial states: initial-final configurations, JHEP 01, 118 (2010), doi:10.1007/JHEP01(2010)118, [0912.0374].
[15] T. Gehrmann and P. F. Monni, Antenna subtraction at NNLO with hadronic initial states: real-virtual initial-initial configurations, JHEP 12, 049 (2011), doi:10.1007/JHEP12(2011)049, [1107.4037].
[16] R. Boughezal, A. Gehrmann-De Ridder and M. Ritzmann, Antenna subtraction at NNLO with hadronic initial states: double real radiation for initial-initial configurations with two quark flavours, JHEP 02, 098 (2011), doi:10.1007/JHEP02(2011)098, [1011.6631].
[17] A. Gehrmann-De Ridder, T. Gehrmann and M. Ritzmann, Antenna subtraction at NNLO with hadronic initial states: double real initial-initial configurations, JHEP 10, 047 (2012), doi:10.1007/JHEP10(2012)047, [1207.5779].
[18] X. Chen, T. Gehrmann, E. W. N. Glover, A. Huss and M. Marcoli, Automation of antenna subtraction in colour space: gluonic processes, JHEP 10, 099 (2022), doi:10.1007/JHEP10(2022)099, [2203.13531].
[19] T. Gehrmann, E. W. N. Glover and M. Marcoli, The colourful antenna subtraction method, JHEP 03, 114 (2024), doi:10.1007/JHEP03(2024)114, [2310.19757].
[20] T. Gehrmann et al., Jet cross sections and transverse momentum distributions with NNLOJET, PoS RADCOR2017, 074 (2018), doi:10.22323/1.290.0074, [1801.06415].
[21] G. P. Lepage, A New Algorithm for Adaptive Multidimensional Integration, J. Comput. Phys. 27, 192 (1978), doi:10.1016/0021-9991(78)90004-9.
[22] E. W. N. Glover and J. Pires, Antenna subtraction for gluon scattering at NNLO, JHEP 06, 096 (2010), doi:10.1007/JHEP06(2010)096, [1003.2824].
[23] J. Campbell and T. Neumann, Precision Phenomenology with MCFM, JHEP 12, 034 (2019), doi:10.1007/JHEP12(2019)034, [1909.09117].
[24] J. M. Campbell and R. K. Ellis, Next-to-Leading Order Corrections to \(W+2\) Jet and \(Z+2\) Jet Production at Hadron Colliders, Phys. Rev. D 65, 113007 (2002), doi:10.1103/PhysRevD.65.113007, [hep-ph/0202176].
[25] E. Remiddi and J. A. M. Vermaseren, Harmonic polylogarithms, Int. J. Mod. Phys. A 15, 725 (2000), doi:10.1142/S0217751X00000367, [hep-ph/9905237].
[26] T. Gehrmann and E. Remiddi, Numerical evaluation of harmonic polylogarithms, Comput. Phys. Commun. 141, 296 (2001), doi:10.1016/S0010-4655(01)00411-8, [hep-ph/0107173].
[27] T. Gehrmann and E. Remiddi, Numerical evaluation of two-dimensional harmonic polylogarithms, Comput. Phys. Commun. 144, 200 (2002), doi:10.1016/S0010-4655(02)00139-X, [hep-ph/0111255].
[28] S. Bühler and C. Duhr, CHAPLIN - Complex Harmonic Polylogarithms in Fortran, Comput. Phys. Commun. 185, 2703 (2014), doi:10.1016/j.cpc.2014.05.022, [1106.5739].
[29] A. Buckley, J. Ferrando, S. Lloyd, K. Nordström, B. Page, M. Rüfenacht, M. Schönherr and G. Watt, LHAPDF6: parton density access in the LHC precision era, Eur. Phys. J. C 75, 132 (2015), doi:10.1140/epjc/s10052-015-3318-8, [1412.7420].
[30] A. Gehrmann-De Ridder, T. Gehrmann, E. W. N. Glover and G. Heinrich, NNLO corrections to event shapes in \(e^+ e^-\) annihilation, JHEP 12, 094 (2007), doi:10.1088/1126-6708/2007/12/094, [0711.4711].
[31] A. Gehrmann-De Ridder, T. Gehrmann, E. W. N. Glover and G. Heinrich, EERAD3: Event shapes and jet rates in electron-positron annihilation at order \(\alpha _s^3\), Comput. Phys. Commun. 185, 3331 (2014), doi:10.1016/j.cpc.2014.07.024, [1402.4140].
[32] T. Gehrmann, E. W. N. Glover, A. Huss, J. Niehues and H. Zhang, NNLO QCD corrections to event orientation in \(e^+ e^-\) annihilation, Phys. Lett. B 775, 185 (2017), doi:10.1016/j.physletb.2017.10.069, [1709.01097].
[33] K. Hagiwara and D. Zeppenfeld, Amplitudes for Multiparton Processes Involving a Current at \(e^+ e^-\), \(e^\pm p\) and Hadron Colliders, Nucl. Phys. B 313, 560 (1989), doi:10.1016/0550-3213(89)90397-0.
[34] F. A. Berends, W. T. Giele and H. Kuijf, Exact Expressions for Processes Involving a Vector Boson and Up to Five Partons, Nucl. Phys. B 321, 39 (1989), doi:10.1016/0550-3213(89)90242-3.
[35] Z. Bern, L. J. Dixon and D. A. Kosower, One loop amplitudes for \(e^+ e^-\) to four partons, Nucl. Phys. B 513, 3 (1998), doi:10.1016/S0550-3213(97)00703-7, [hep-ph/9708239].
[36] L. W. Garland, T. Gehrmann, E. W. N. Glover, A. Koukoutsakis and E. Remiddi, The Two loop QCD matrix element for \(e^+e^-\to \) 3 jets, Nucl. Phys. B 627, 107 (2002), doi:10.1016/S0550-3213(02)00057-3, [hep-ph/0112081].
[37] L. W. Garland, T. Gehrmann, E. W. N. Glover, A. Koukoutsakis and E. Remiddi, Two loop QCD helicity amplitudes for \(e^+e^-\to \) 3 jets, Nucl. Phys. B 642, 227 (2002), doi:10.1016/S0550-3213(02)00627-2, [hep-ph/0206067].
[38] T. Gehrmann and E. Remiddi, Analytic continuation of massless two loop four point functions, Nucl. Phys. B 640, 379 (2002), doi:10.1016/S0550-3213(02)00569-2, [hep-ph/0207020].
[39] T. Gehrmann and L. Tancredi, Two-loop QCD helicity amplitudes for \(q\bar q \to W^\pm \gamma \) and \(q\bar q \to Z^0 \gamma \), JHEP 02, 004 (2012), doi:10.1007/JHEP02(2012)004, [1112.1531].
[40] O. Biebel, Experimental tests of the strong interaction and its energy dependence in electron positron annihilation, Phys. Rept. 340, 165 (2001), doi:10.1016/S0370-1573(00)00072-7.
[41] J. Currie, T. Gehrmann, A. Huss and J. Niehues, NNLO QCD corrections to jet production in deep inelastic scattering, JHEP 07, 018 (2017), doi:10.1007/JHEP07(2017)018, [Erratum: JHEP 12, 042 (2020)], [1703.05977].
[42] J. Niehues and D. M. Walker, NNLO QCD Corrections to Jet Production in Charged Current Deep Inelastic Scattering, Phys. Lett. B 788, 243 (2019), doi:10.1016/j.physletb.2018.11.025, [1807.02529].
[43] T. Gehrmann, A. Huss, J. Mo and J. Niehues, Second-order QCD corrections to event shape distributions in deep inelastic scattering, Eur. Phys. J. C 79(12), 1022 (2019), doi:10.1140/epjc/s10052-019-7528-3, [1909.02760].
[44] A. Gehrmann-De Ridder, E. W. N. Glover and J. Pires, Real-Virtual corrections for gluon scattering at NNLO, JHEP 02, 141 (2012), doi:10.1007/JHEP02(2012)141, [1112.3613].
[45] A. Gehrmann-De Ridder, T. Gehrmann, E. W. N. Glover and J. Pires, Double Virtual corrections for gluon scattering at NNLO, JHEP 02, 026 (2013), doi:10.1007/JHEP02(2013)026, [1211.2710].
[46] 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(7), 072002 (2017), doi:10.1103/PhysRevLett.118.072002, [1611.01460].
[47] J. Currie, A. Gehrmann-De Ridder, T. Gehrmann, E. W. N. Glover, A. Huss and J. Pires, Precise predictions for dijet production at the LHC, Phys. Rev. Lett. 119(15), 152001 (2017), doi:10.1103/PhysRevLett.119.152001, [1705.10271].
[48] 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(10), 102001 (2019), doi:10.1103/PhysRevLett.123.102001, [1905.09047].
[49] X. Chen, T. Gehrmann, E. W. N. Glover, A. Huss and J. Mo, NNLO QCD corrections in full colour for jet production observables at the LHC, JHEP 09, 025 (2022), doi:10.1007/JHEP09(2022)025, [2204.10173].
[50] X. Chen, T. Gehrmann, E. W. N. Glover and J. Mo, Antenna subtraction for jet production observables in full colour at NNLO, JHEP 10, 040 (2022), doi:10.1007/JHEP10(2022)040, [2208.02115].
[51] F. A. Berends and W. T. Giele, Recursive Calculations for Processes with n Gluons, Nucl. Phys. B 306, 759 (1988), doi:10.1016/0550-3213(88)90442-7.
[52] M. L. Mangano and S. J. Parke, Multiparton amplitudes in gauge theories, Phys. Rept. 200, 301 (1991), doi:10.1016/0370-1573(91)90091-Y, [hep-th/0509223].
[53] J. Kuijf, Multiparton production at hadron colliders, Ph.D. thesis, Leiden (1991).
[54] Z. Bern, L. J. Dixon and D. A. Kosower, One loop corrections to five gluon amplitudes, Phys. Rev. Lett. 70, 2677 (1993), doi:10.1103/PhysRevLett.70.2677, [hep-ph/9302280].
[55] Z. Bern, L. J. Dixon and D. A. Kosower, One loop corrections to two quark three gluon amplitudes, Nucl. Phys. B 437, 259 (1995), doi:10.1016/0550-3213(94)00542-M, [hep-ph/9409393].
[56] Z. Kunszt, A. Signer and Z. Trocsanyi, One loop radiative corrections to the helicity amplitudes of QCD processes involving four quarks and one gluon, Phys. Lett. B 336, 529 (1994), doi:10.1016/0370-2693(94)90568-1, [hep-ph/9405386].
[57] A. Signer, Helicity method for next-to-leading order corrections in QCD, Ph.D. thesis, ETH Zurich (1995).
[58] C. Anastasiou, E. W. N. Glover, C. Oleari and M. E. Tejeda-Yeomans, Two loop QCD corrections to massless quark gluon scattering, Nucl. Phys. B 605, 486 (2001), doi:10.1016/S0550-3213(01)00195-X, [hep-ph/0101304].
[59] E. W. N. Glover, C. Oleari and M. E. Tejeda-Yeomans, Two loop QCD corrections to gluon-gluon scattering, Nucl. Phys. B 605, 467 (2001), doi:10.1016/S0550-3213(01)00210-3, [hep-ph/0102201].
[60] E. W. N. Glover and M. E. Tejeda-Yeomans, One loop QCD corrections to gluon-gluon scattering at NNLO, JHEP 05, 010 (2001), doi:10.1088/1126-6708/2001/05/010, [hep-ph/0104178].
[61] C. Anastasiou, E. W. N. Glover, C. Oleari and M. E. Tejeda-Yeomans, Two-loop QCD corrections to the scattering of massless distinct quarks, Nucl. Phys. B 601, 318 (2001), doi:10.1016/S0550-3213(01)00079-7, [hep-ph/0010212].
[62] C. Anastasiou, E. W. N. Glover, C. Oleari and M. E. Tejeda-Yeomans, Two loop QCD corrections to massless identical quark scattering, Nucl. Phys. B 601, 341 (2001), doi:10.1016/S0550-3213(01)00080-3, [hep-ph/0011094].
[63] C. Anastasiou, E. W. N. Glover, C. Oleari and M. E. Tejeda-Yeomans, One loop QCD corrections to quark scattering at NNLO, Phys. Lett. B 506, 59 (2001), doi:10.1016/S0370-2693(01)00356-2, [hep-ph/0012007].
[64] J. Currie, A. Gehrmann-De Ridder, T. Gehrmann, E. W. N. Glover, A. Huss and J. Pires, Infrared sensitivity of single jet inclusive production at hadron colliders, JHEP 10, 155 (2018), doi:10.1007/JHEP10(2018)155, [1807.03692].
[65] 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(2), 022001 (2016), doi:10.1103/PhysRevLett.117.022001, [1507.02850].
[66] 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, 133 (2016), doi:10.1007/JHEP07(2016)133, [1605.04295].
[67] A. Gehrmann-De Ridder, T. Gehrmann, E. W. N. Glover, A. Huss and T. A. Morgan, NNLO QCD corrections for Drell-Yan \(p_T^Z\) and \(\phi ^*\) observables at the LHC, JHEP 11, 094 (2016), doi:10.1007/JHEP11(2016)094, [Erratum: JHEP 10, 126 (2018)], [1610.01843].
[68] R. Gauld, A. Gehrmann-De Ridder, T. Gehrmann, E. W. N. Glover and A. Huss, Precise predictions for the angular coefficients in Z-boson production at the LHC, JHEP 11, 003 (2017), doi:10.1007/JHEP11(2017)003, [1708.00008].
[69] A. Gehrmann-De Ridder, T. Gehrmann, E. W. N. Glover, A. Huss and D. M. Walker, Vector Boson Production in Association with a Jet at Forward Rapidities, Eur. Phys. J. C 79(6), 526 (2019), doi:10.1140/epjc/s10052-019-7010-2, [1901.11041].
[70] R. Gauld, A. Gehrmann-De Ridder, T. Gehrmann, E. W. N. Glover, A. Huss, I. Majer and A. Rodriguez Garcia, Transverse momentum distributions in low-mass Drell-Yan lepton pair production at NNLO QCD, Phys. Lett. B 829, 137111 (2022), doi:10.1016/j.physletb.2022.137111, [2110.15839].
[71] A. Gehrmann-De Ridder, T. Gehrmann, E. W. N. Glover, A. Huss, C. T. Preuss and D. M. Walker, Precision phenomenology with fiducial cross sections in the triple-differential Drell-Yan process, JHEP 05, 002 (2023), doi:10.1007/JHEP05(2023)002, [2301.11827].
[72] 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(12), 122001 (2018), doi:10.1103/PhysRevLett.120.122001, [1712.07543].
[73] S. Frixione, Isolated photons in perturbative QCD, Phys. Lett. B 429, 369 (1998), doi:10.1016/S0370-2693(98)00454-7, [hep-ph/9801442].
[74] K. Koller, T. F. Walsh and P. M. Zerwas, Testing QCD: Direct Photons in \(e^+ e^-\) Collisions, Z. Phys. C 2, 197 (1979), doi:10.1007/BF01474661.
[75] X. Chen, T. Gehrmann, N. Glover, M. Höfer and A. Huss, Isolated photon and photon+jet production at NNLO QCD accuracy, JHEP 04, 166 (2020), doi:10.1007/JHEP04(2020)166, [1904.01044].
[76] X. Chen, T. Gehrmann, E. W. N. Glover, M. Höfer, A. Huss and R. Schürmann, Single photon production at hadron colliders at NNLO QCD with realistic photon isolation, JHEP 08, 094 (2022), doi:10.1007/JHEP08(2022)094, [2205.01516].
[77] L. Bourhis, M. Fontannaz and J. P. Guillet, Quarks and gluon fragmentation functions into photons, Eur. Phys. J. C 2, 529 (1998), doi:10.1007/s100520050158, [hep-ph/9704447].
[78] T. Gehrmann, E. W. N. Glover, A. Huss and J. Whitehead, Scale and isolation sensitivity of diphoton distributions at the LHC, JHEP 01, 108 (2021), doi:10.1007/JHEP01(2021)108, [2009.11310].
[79] V. Del Duca, W. B. Kilgore and F. Maltoni, Multiphoton amplitudes for next-to-leading order QCD, Nucl. Phys. B 566, 252 (2000), doi:10.1016/S0550-3213(99)00663-X, [hep-ph/9910253].
[80] A. Signer, One loop corrections to five parton amplitudes with external photons, Phys. Lett. B 357, 204 (1995), doi:10.1016/0370-2693(95)00905-Z, [hep-ph/9507442].
[81] 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, 255 (2002), doi:10.1016/S0550-3213(02)00140-2, [hep-ph/0201274].
[82] J. M. Campbell and C. Williams, Triphoton production at hadron colliders, Phys. Rev. D 89(11), 113001 (2014), doi:10.1103/PhysRevD.89.113001, [1403.2641].
[83] 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, 147 (2015), doi:10.1016/j.physletb.2014.11.021, [1408.5325].
[84] M. A. Shifman, A. I. Vainshtein and V. I. Zakharov, Remarks on Higgs Boson Interactions with Nucleons, Phys. Lett. B 78, 443 (1978), doi:10.1016/0370-2693(78)90481-1.
[85] F. Wilczek, Decays of Heavy Vector Mesons Into Higgs Particles, Phys. Rev. Lett. 39, 1304 (1977), doi:10.1103/PhysRevLett.39.1304.
[86] V. Del Duca, A. Frizzo and F. Maltoni, Higgs boson production in association with three jets, JHEP 05, 064 (2004), doi:10.1088/1126-6708/2004/05/064, [hep-ph/0404013].
[87] L. J. Dixon and Y. Sofianatos, Analytic one-loop amplitudes for a Higgs boson plus four partons, JHEP 08, 058 (2009), doi:10.1088/1126-6708/2009/08/058, [0906.0008].
[88] S. Badger, E. W. N. Glover, P. Mastrolia and C. Williams, One-loop Higgs plus four gluon amplitudes: Full analytic results, JHEP 01, 036 (2010), doi:10.1007/JHEP01(2010)036, [0909.4475].
[89] S. Badger, J. M. Campbell, R. K. Ellis and C. Williams, Analytic results for the one-loop NMHV Hqqgg amplitude, JHEP 12, 035 (2009), doi:10.1088/1126-6708/2009/12/035, [0910.4481].
[90] T. Gehrmann, M. Jaquier, E. W. N. Glover and A. Koukoutsakis, Two-Loop QCD Corrections to the Helicity Amplitudes for \(H \to \) 3 partons, JHEP 02, 056 (2012), doi:10.1007/JHEP02(2012)056, [1112.3554].
[91] X. Chen, J. Cruz-Martinez, T. Gehrmann, E. W. N. Glover and M. Jaquier, NNLO QCD corrections to Higgs boson production at large transverse momentum, JHEP 10, 066 (2016), doi:10.1007/JHEP10(2016)066, [1607.08817].
[92] X. Chen, T. Gehrmann, E. W. N. Glover and A. Huss, Fiducial cross sections for the four-lepton decay mode in Higgs-plus-jet production up to NNLO QCD, JHEP 07, 052 (2019), doi:10.1007/JHEP07(2019)052, [1905.13738].
[93] X. Chen, T. Gehrmann, E. W. N. Glover and A. Huss, Fiducial cross sections for the lepton-pair-plus-photon decay mode in Higgs production up to NNLO QCD, JHEP 01, 053 (2022), doi:10.1007/JHEP01(2022)053, [2111.02157].
[94] M. Cacciari, G. P. Salam and G. Soyez, The anti-\(k_t\) jet clustering algorithm, JHEP 04, 063 (2008), doi:10.1088/1126-6708/2008/04/063, [0802.1189].
[95] M. Wobisch and T. Wengler, Hadronization corrections to jet cross-sections in deep inelastic scattering, In Workshop on Monte Carlo Generators for HERA Physics (Plenary Starting Meeting), pp. 270–279 (1998), [hep-ph/9907280].
[96] S. D. Ellis and D. E. Soper, Successive combination jet algorithm for hadron collisions, Phys. Rev. D 48, 3160 (1993), doi:10.1103/PhysRevD.48.3160, [hep-ph/9305266].
[97] S. Catani, Y. L. Dokshitzer, M. H. Seymour and B. R. Webber, Longitudinally invariant \(K_t\) clustering algorithms for hadron hadron collisions, Nucl. Phys. B 406, 187 (1993), doi:10.1016/0550-3213(93)90166-M.
[98] S. Catani, Y. L. Dokshitzer, M. Olsson, G. Turnock and B. R. Webber, New clustering algorithm for multi - jet cross-sections in e+ e- annihilation, Phys. Lett. B 269, 432 (1991), doi:10.1016/0370-2693(91)90196-W.
[99] W. Bartel et al., Experimental Studies on Multi-Jet Production in \(e^+ e^-\) Annihilation at PETRA Energies, Z. Phys. C 33, 23 (1986), doi:10.1007/BF01410449.
[100] F. Siegert, A practical guide to event generation for prompt photon production with Sherpa, J. Phys. G 44(4), 044007 (2017), doi:10.1088/1361-6471/aa5f29, [1611.07226].
[101] D. Buskulic et al., First measurement of the quark to photon fragmentation function, Z. Phys. C 69, 365 (1996), doi:10.1007/BF02907417.
[102] M. Tanabashi et al., Review of Particle Physics, Phys. Rev. D 98(3), 030001 (2018), doi:10.1103/PhysRevD.98.030001.
[103] P. A. Zyla et al., Review of Particle Physics, PTEP 2020(8), 083C01 (2020), doi:10.1093/ptep/ptaa104.
[104] A. Gehrmann-De Ridder, T. Gehrmann, N. Glover, A. Huss and T. A. Morgan, NNLO QCD corrections for \(Z\) boson plus jet production, PoS RADCOR2015, 075 (2016), doi:10.22323/1.235.0075, [1601.04569].