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Complete two-loop electroweak corrections to e^+e^-rightarrow HZ

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arxiv 2209.14953 v1 pith:6OITHQZA submitted 2022-09-29 hep-ph

Complete two-loop electroweak corrections to e^+e^-rightarrow HZ

classification hep-ph
keywords completecorrectionselectroweakintegralstwo-loopmasterrightarrowadvantage
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute the complete two-loop electroweak corrections to the Higgsstralung process $e^+e^-\rightarrow HZ$ at the future Higgs factory. The Feynman integrals involved in the computation are decomposed into linear combinations of a minimal set of master integrals taking advantage of the recent developments of integral reduction techniques. The master integrals are then evaluated by differential equations with boundary conditions provided by the auxiliary mass flow method. Our final result for given $\sqrt{s}$ is expressed as a piecewise function defined by several deeply expanded power series, which has high precision and can be further manipulated efficiently. Our calculation presents the first complete two-loop electroweak corrections for processes with four external particles.

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