Mixed QCD-EW corrections for Higgs leptonic decay via $H{W}^{+}{W}^{-}$ vertex

Abstract

We consider the two-loop corrections to the $H{W}^{+}{W}^{-}$ vertex at order $\alpha {\alpha }_s$. We construct a canonical basis for the two-loop integrals using the Baikov representation and the intersection theory. By solving the $\epsilon$-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 $H\to {\nu }_{e}eW$, and study both the integrated and differential decay rates. Our results can also be applied to the Higgs production process via $W$ boson fusion.

18 pages, 3 figures, 2 tables; version accepted for publication in JHEP

References in corpus (10)

• Integral Reduction with Kira 2.0 and Finite Field Methods
• Lectures on differential equations for Feynman integrals
• Feynman Diagrams and Differential Equations
• Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers
• Decomposition of Feynman Integrals by Multivariate Intersection Numbers
• HandyG -- rapid numerical evaluation of generalised polylogarithms in Fortran
• RationalizeRoots: Software Package for the Rationalization of Square Roots
• From Infinity to Four Dimensions: Higher Residue Pairings and Feynman Integrals
• On the computation of intersection numbers for twisted cocycles
• Constructing Canonical Feynman Integrals with Intersection Theory

Cited by in corpus (3)

• Baikov representations, intersection theory, and canonical Feynman integrals
• Intersection Numbers from Higher-order Partial Differential Equations
• Master integrals for $\mathcal{O}(\alpha {\alpha }_s)$ corrections to $H\to Z{Z}^{\ast }$