Speaker
Description
We investigate the renormalization group scale dependence of the $H \rightarrow gg$ decay rate at the order N$^4$LO in 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. The attractive advantage of this approach is the closed-form analytic expressions, which represent the summation of all RG-accessible logarithms in the perturbative series that is known to a given order. The new renormalization-group summed expansion for the $H \rightarrow gg$ decay rate shows an improved behaviour by exhibiting a reduced sensitivity to the renormalization-group scale. The largest uncertainty in the determination of the $H \rightarrow gg$ decay width in this work arises due to the $1\%$ change in the strong coupling constant $\alpha_s (M_Z^2)$, and is in the range $(2.3-2.6) \%$. We also improve the $H \rightarrow gg$ decay rate by estimating the higher order corrections through the asymptotic $Pad\acute{e}$ approximant method.
| Session | Heavy Ions and QCD |
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