https://doi.org/10.1140/epjp/s13360-024-04925-6
Regular Article
Renormalization-group improved Higgs to two gluons decay rate
Department of Physics, Indian Institute of Technology (BHU), 221005, Varanasi, India
Received:
24
May
2023
Accepted:
19
January
2024
Published online:
1
February
2024
We investigate the renormalization-group scale and scheme dependence of the decay rate at the order N
LO in the renormalization-group summed perturbative theory, which employs the summation of all renormalization-group accessible logarithms including the leading and subsequent four sub-leading logarithmic contributions to the full perturbative series expansion. Moreover, we study the higher-order behaviour of the
decay width using the asymptotic Padé approximant method in four different renormalization schemes. Furthermore, the higher-order behaviour is independently investigated in the framework of the asymptotic Padé–Borel approximant method where generalized Borel-transform is used as an analytic continuation of the original perturbative expansion. The predictions of the asymptotic Padé–Borel approximant method are found to be in agreement with that of the asymptotic Padé approximant method. Finally, we provide the
decay rate at the order N
LO in the fixed-order
and
in the renormalization-group summed perturbative theories.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.