Abstract
We consider the two-loop corrections to the HW+W− vertex at order ααs. We construct a canonical basis for the two-loop integrals using the Baikov representation and the intersection theory. By solving the ϵ-form differential equations, we obtain fully analytic expressions for the master integrals in terms of multiple polylogarithms, which allow fast and accurate numeric evaluation for arbitrary configurations of external momenta. We apply our analytic results to the decay process H → νeeW, and study both the integrated and differential decay rates. Our results can also be applied to the Higgs production process via W boson fusion.
Highlights
We provide exact analytic results for the next-to-next-to-leading order (NNLO) mixed QCD-EW corrections to the HW +W − vertex at order ααs
In the rest of the paper, we present our calculation of the NNLO mixed QCD-EW corrections at order ααs
We have studied a class of two-loop triangle integrals entering the O(ααs) corrections to the HW +W − vertex
Summary
We setup our notations and present the LO results as well as the NLO EW corrections for the partial decay width. The NLO EW corrections to this decay process involve closed fermion loops, exchanges of electroweak gauge bosons and Higgs boson, as well as real photon emissions. For these corrections we invoke the program MadGraph5_aMC@NLO [22] which can automatically compute NLO QCD and EW corrections to standard model processes. The other six integrals are required in the calculation of the two-loop amplitude They can be related to T11, T25, T27–T30 of figure 4 in [26] by an exchange of external momenta p1 ↔ p2 (p3 ↔ q in our notation). We introduce the following dimensionless variables: u
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