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arXiv · 1905.11463

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

Yuxuan Wang·Xiaofeng Xu·Li Lin Yang
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Abstract

We calculate analytically the two-loop triangle integrals entering the $\mathcal{O}(αα_s)$ corrections to the $HZV$ vertex with $V=Z^*,γ^*$ 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.

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Yuxuan Wang, Xiaofeng Xu, Li Lin Yang. 2019-05-27. Two-loop triangle integrals with 4 scales for the $HZV$ vertex. https://doi.org/10.1103/physrevd.100.071502

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