Abstract
We compute the two-loop electroweak correction to the production of the Higgs boson in gluon fusion to higher orders in the dimensional-regularization parameter ε=(d−4)/2. We employ the method of differential equations augmented by the choice of a canonical basis to compute the relevant integrals and express them in terms of Goncharov polylogarithms. Our calculation provides useful results for the computation of the NLO mixed QCD-electroweak corrections to gg→H and establishes the necessary framework towards the calculation of the missing three-loop virtual corrections.
Highlights
IntroductionIn this paper we focus on the computation of the two-loop electroweak correction to the production of the Higgs boson in gluon fusion
The recent discovery of the Higgs boson and the non-observation of any New Physics at the LHC establishes the validity of the Standard Model as the low-energy effective theory of Nature
We have presented a calculation of the mixed two-loop QCD-electroweak corrections mediated by massless quarks to the production of the Higgs boson in gluon fusion
Summary
In this paper we focus on the computation of the two-loop electroweak correction to the production of the Higgs boson in gluon fusion. Given the complexity of the required computation, one can try to simplify it by considering different kinematic limits: mixed QCD-electroweak corrections in the unphysical limit of a vanishingly small Higgs boson mass mZ,W mH were calculated in Ref. We make an important step in this direction by setting up a modern calculational framework for this problem that employs canonical bases for master integrals and differential equations, and computing the two-loop electroweak contribution to ggH to higher orders in the dimensional regularization parameter ε = (4 − d)/2. The explicit expressions for the master integrals up to this weight, and the gg → H amplitude through O ε2 are available in the ancillary file
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