Higher-order QCD corrections to $H\to b\bar{b}$ 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 $\Gamma (H\to b\bar{b})$, to be $c_5=-6900\pm 1400$. 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 $\Gamma (H\to b\bar{b})$ will remain largely dominated by the Standard Model parameters.

21 pages, 3 figures. Significantly shorter than v1. Results unchanged. Changes in presentation and discussions. Accepted by JHEP

References in corpus (9)

• Hadronic Z- and tau-Decays in Order alpha_s^4
• The five-loop beta function of Yang-Mills theory with fermions
• A Rational Approach to Resonance Saturation in large-Nc QCD
• On Higgs decays to hadrons and the R-ratio at N^4LO
• Higher-order QCD perturbation theory in different schemes: From FOPT to CIPT to FAPT
• A rational approximation to <VV-AA> and its O(p^6) low-energy constant
• Conformal and Uniformizing Maps in Borel Analysis
• Small-momentum expansion of heavy-quark correlators in the large-${\beta }_0$ limit and ${\alpha }_s$ extractions
• Rational Approximations in Quantum Chromodynamics

Cited by in corpus (5)

• Renormalization group summation and analytic continuation from spacelike to timeline regions
• Probing the singularities of the Landau-gauge gluon and ghost propagators with rational approximants
• Renormalization-group improved Higgs to two gluons decay rate
• Scale-invariant total decay width $\Gamma (H\to b\bar{b})$ using the novel method of characteristic operator
• Model-independent extrapolation of MUonE data with Padé and D-Log approximants