Two-loop triangle integrals with 4 scales for the $HZV$ vertex

Abstract

We calculate analytically the two-loop triangle integrals entering the $\mathcal{O}(\alpha {\alpha }_s)$ corrections to the $HZV$ vertex with $V=Z^{\ast },{\gamma }^{\ast }$ using the method of differential equations. Our result provides a prototype to study the analytic properties of multi-loop multi-scale Feynman integrals, and also allows fast numeric evaluation for phenomenological studies. We apply our results to the leptonic decay of the Higgs boson and to $ZH$ production at electron-positron colliders. Besides the top quark loop, we include also the bottom quark loop contributions, whose evaluation takes a lot of time using purely numeric methods, but is very efficient with our analytic results.

arXiv comment5 pages, 4 figures

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Cited by in corpus (5)

• Constructing Canonical Feynman Integrals with Intersection Theory
• On the evaluation of two-loop electroweak box diagrams for $e^{+}{e}^{-}\to HZ$ production
• Mixed QCD-EW corrections for Higgs leptonic decay via $H{W}^{+}{W}^{-}$ vertex
• Master integrals for $\mathcal{O}(\alpha {\alpha }_s)$ corrections to $H\to Z{Z}^{\ast }$
• Chasing the two-Higgs-doublet model via electroweak corrections at $e^{+}{e}^{-}$ colliders