Published January 24, 2025 | Version v1
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Analytic Expressions of Master Integrals for Higgs Production Through Gluon Fusion at NLO in the EW Coupling

  • 1. ROR icon University of Zurich
  • 2. ROR icon University of Edinburgh
  • 3. ROR icon Technical University of Munich

Description

We consider mixed strong-electroweak corrections to Higgs production via gluon fusion, in which the Higgs boson couples to the top quark. Using the method of differential equations, we compute all of the master integrals that contribute to this process at two loops through weight six, keeping full analytic dependence on the top quark, Higgs, W, and Z boson masses. We present the results for these master integrals in terms of iterated integrals whose kernels depend on elliptic curves.

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Additional details

Funding

European Commission
EWMassHiggs - Massive QCD-Electroweak Corrections to Higgs Production Through Gluon Fusion at NNLO 101027658
European Commission
TOPUP - Theory of particle collider processes at ultimate precision 101019620
European Commission
HighPHun - High-Energy Physics at the Frontier with Mathematics 949279
Royal Society
Harnessing the structure of scattering amplitudes R1\221233
Deutsche Forschungsgemeinschaft
ORIGINS EXC-2094-390783311