Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop

By C. Anastasiou, Stefan Beerli, Stefan Bucherer, A. Daleo, Z. Kunszt. 2006

210 citations recorded by the source corpus.

We compute all two-loop master integrals which are required for the evaluation of next-to- leading order QCD corrections in Higgs boson production via gluon fusion. Many two-loop amplitudes for 2 → 1 processes in the Standard Model and beyond can be expressed in terms of these integrals using automated reduction techniques. These integrals also form a subset of the master integrals for more complicated 2 → 2 amplitudes with massive propagators in the loops. As a first application, we evaluate the two-loop amplitude for Higgs boson production in gluon fusion via a massive quark. Our result is the first independent check of the calculation of Spira, Djouadi, Graudenz and Zerwas. We also present for the first time the two-loop amplitude for gg → h via a massive squark.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/61d515865f7fc32910a7ddac5352079f296c189e

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In Nuclear and High Energy Physics

Citations in the corpus

High precision determination of the gluon fusion Higgs boson cross-section at the LHC (2016, background): “The exact mass dependence of the cross-section is also known at NLO [5, 6, 7, 8, 9, 10, 11, 12, 40], and we can thus include all effects from top, bottom and charm quarks up to that order.”
Finite quark-mass effects in the NNLOPS POWHEG+MiNLO Higgs generator (2015, unknown): “in QCD perturbation theory [22–27].”
Factorization at the LHC: From PDFs to Initial State Jets (Ph.D. thesis) (2009, background): “In pure dimensional regularization the matching coefficient CggH(mt, q2) is given by the infrared-finite part of the on-shell ggH form factor [10, 111, 115, 152].”
Sector Decomposition (2008, background): “Solutions to this problem already have been suggested [32, 41, 42, 58, 59, 62, 64] and are subject to current research.”
Finite top mass effects for hadronic Higgs production at next-to-next-to-leading order (2009, background): “At NLO, the full Mt dependence is known in numerical form [6] (the virtual terms are known analytically [15, 16, 17]).”
Mixed QCD-electroweak corrections to Higgs boson production in gluon fusion (2008, methodology): “Nevertheless, the K-factor obtained is an extremely good approximation to the exact one for Higgs boson masses up to mH ≈ 1TeV [5].”
Higgs production with a central jet veto at NNLL+NNLO (2010, methodology): “In pure dimensional regularization with MS the matching coefficient CggH(mt, q 2, μH) is given by the infrared-finite part of the full mt-dependent ggH form factor, which is known analytically at NLO (corresponding to two loops) [76, 77] and in an expansion in q(2)/m(2)t at NNLO (three loops) [78, 7”
From polygons and symbols to polylogarithmic functions (2011, methodology): “higher order corrections to physical observables requires the analytical evaluation of Feynman integrals that can generally be expressed in terms of (special classes of) multiple polylogarithms, e.g. [25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49,”
Collider physics at the precision frontier (2020, unknown): “merically by several groups [776{783]. Methods to calculate one-loop integrals in a parameter representation numerically also have been worked out [784{792], partially with extensions beyond one loop [793, 794, 786, 743, 45, 795{798], see also Sections 3.3.4 and 3.4 for more details. A four-dimensio”
Decomposition of Feynman integrals on the maximal cut by intersection numbers (2019, result): “with the ω corresponding to ν = 2 in agreement with the literature [98, 99].”
Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes (2012, background): “es it was realized however that for certain multi-loop integrals new classes of transcendental functions arise that can no longer be expressed in terms of the classical polylogarithm functions, e.g., [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28,”