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<p>We extend in an extremely simple and straightforward way the well-known low-energy theorem for an effective Higgs-like scalar-gluon-gluon coupling [<CitationRef CitationID="CR1">1</CitationRef>] (as well as a similar one 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 [<CitationRef CitationID="CR2">2</CitationRef>] for the decoupling constant of <i>α</i><sub><i>s</i></sub>.</p>

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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

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  • 发表日期：

    2026年2月18日

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  • Konstantin G. Chetyrkin

摘要

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 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 αs.