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arXiv · 2208.05837

Three-loop master integrals for the Higgs boson self-energy with internal top-quarks and W-bosons

Ekta Chaubey·Ina Hönemann·Stefan Weinzierl
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Abstract

We consider the full set of master integrals with internal top-and $W$-propagators contributing to the three-loop Higgs self-energy diagrams of order ${\mathcal O}(\alpha^2 \alpha_s)$. We split the master integrals into a system relevant to the Feynman diagrams proportional to the product of Yukawa couplings $y_b y_t$ and the complement. For both systems we define master integrals of uniform weight, such that the associated differential equation is in $\varepsilon$-factorised form. The occurring square roots are rationalised and all master integrals are expressible in multiple polylogarithms.

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Ekta Chaubey, Ina Hönemann, Stefan Weinzierl. 2022-08-11. Three-loop master integrals for the Higgs boson self-energy with internal top-quarks and W-bosons. https://doi.org/10.1007/jhep11(2022)051

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