A simple generalization of the low-energy theorem for the effective Higgs-gluon-gluon coupling for the case of simultaneous decoupling of several heavy quarks

2025/11/25 by Chetyrkin, Konstantin G. · 1 citation
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.2511.20622

Abstract

We extend in an extremely simple and straightforward way the well-known low-energy theorem for an effective Higgs-like scalar-gluon-gluon coupling [1] (as well as a similar one for for the effective coupling of the Higgs-like field to the light scalar quark currents) in QCD including arbitrary number of heavy quarks in addition to the light ones. The application of the generalized low-energy theorem allows the extraction of the four-loop effective Higgs-gluon-gluon coupling valid for extensions of the Standard Model with additional heavy quarks from the 3-loop results of [2] for the decoupling constant of α_s.

Citations

• Scalar decay into pions via Higgs portal
• Simultaneous decoupling of bottom and charm quarks

Cited by

• Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit

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• Decoupling relations, effective Lagrangians and low-energy theorems
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• Low-Energy Theorems in Higgs Physics
• Simultaneous decoupling of bottom and charm quarks
• Complete two-loop Yukawa-induced running of the Higgs-gluon coupling in SMEFT