Renormalization-group improved Higgs to two gluons decay rate
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| Format: | Preprint |
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2022
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| _version_ | 1866911769274875904 |
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| author | Abbas, Gauhar Jain, Astha Singh, Vartika Singh, Neelam |
| author_facet | Abbas, Gauhar Jain, Astha Singh, Vartika Singh, Neelam |
| contents | We investigate the renormalization-group scale and scheme dependence of the $H \rightarrow gg$ decay rate at the order N$^4$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 $H \rightarrow gg$ 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 $H \rightarrow gg$ decay rate at the order N$^5$LO in the fixed-order $ Γ_{\rm N^5LO} \,=\, Γ_0 (1.8375 \pm 0.047 _{α_s(M_Z),1\%}\pm 0.0004_{M_t} \pm 0.0066_{M_H}
\pm 0.0036_{\rm P} \pm 0.007_{\text{s}} \pm 0.0005_{sc} ),$ and $Γ_{\rm RGSN^5LO} \,=\, Γ_0 (1.841 \pm 0.047 _{α_s(M_Z),1\%} \pm 0.0005_{M_t}\pm 0.0066_{M_H} \pm 0.0002_μ \pm 0.0027_{\rm P} \pm 0.001_{sc} )$ in the renormalization-group summed perturbative theories. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2205_06061 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Renormalization-group improved Higgs to two gluons decay rate Abbas, Gauhar Jain, Astha Singh, Vartika Singh, Neelam High Energy Physics - Phenomenology High Energy Physics - Experiment We investigate the renormalization-group scale and scheme dependence of the $H \rightarrow gg$ decay rate at the order N$^4$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 $H \rightarrow gg$ 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 $H \rightarrow gg$ decay rate at the order N$^5$LO in the fixed-order $ Γ_{\rm N^5LO} \,=\, Γ_0 (1.8375 \pm 0.047 _{α_s(M_Z),1\%}\pm 0.0004_{M_t} \pm 0.0066_{M_H} \pm 0.0036_{\rm P} \pm 0.007_{\text{s}} \pm 0.0005_{sc} ),$ and $Γ_{\rm RGSN^5LO} \,=\, Γ_0 (1.841 \pm 0.047 _{α_s(M_Z),1\%} \pm 0.0005_{M_t}\pm 0.0066_{M_H} \pm 0.0002_μ \pm 0.0027_{\rm P} \pm 0.001_{sc} )$ in the renormalization-group summed perturbative theories. |
| title | Renormalization-group improved Higgs to two gluons decay rate |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2205.06061 |