Higher-order QCD corrections to H → b b ¯ $$ \overline{b} $$ from rational approximants

Abstract We use rational approximants to study missing higher orders in the massless scalar-current quark correlator. We predict the yet unknown six-loop coefficient of its imaginary part, related to Γ(H → b b ¯ $$ \overline{b} $$ ), to be c 5 = −6900 ± 1400. With this result, the perturbative serie...

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Bibliographic Details
Published in:Journal of High Energy Physics
Main Authors: Diogo Boito, Cristiane Y. London, Pere Masjuan
Format: Article
Language:English
Published: SpringerOpen 2022-01-01
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Online Access:https://doi.org/10.1007/JHEP01(2022)054
Description
Summary:Abstract We use rational approximants to study missing higher orders in the massless scalar-current quark correlator. We predict the yet unknown six-loop coefficient of its imaginary part, related to Γ(H → b b ¯ $$ \overline{b} $$ ), to be c 5 = −6900 ± 1400. With this result, the perturbative series becomes almost insensitive to renormalization scale variations and the intrinsic QCD truncation uncertainty is tiny. This confirms the expectation that higher-order loop computations for this quantity will not be required in the foreseeable future, as the uncertainty in Γ(H → b b ¯ $$ \overline{b} $$ ) will remain largely dominated by the Standard Model parameters.
ISSN:1029-8479