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On Higgs decays to hadrons and the R-ratio at N⁴LO
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On Higgs decays to hadrons and the R-ratio at N^4LO
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We present the first determination of Higgs-boson decay to hadrons at the next-to-next-to-next-to-next-to-leading order of perturbative QCD in the limit of a heavy top quark and massless light flavours. This result has been obtained by computing the absorptive parts of the relevant five-loop self-energy for a general gauge group and combining the outcome with the corresponding coefficient function already known to this order in QCD. Our new result reduces the uncertainty due to the truncation of the perturbation series to a fraction of the uncertainty due to the present error of the strong coupling constant. We have also performed the corresponding but technically simpler computations for direct Higgs decay to bottom quarks and for the electromagnetic R-ratio in e^+ e^- -> hadrons, thus verifying important fifth-order results obtained so far only by one group.
Forward citations
Cited by 11 Pith papers
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Higgs boson decay to massive bottom quarks at order $\alpha_s^4$ induced by top-quark Yukawa couplings
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Analytic result of a three-loop integral family in the Higgs decay to four massive bottom quarks
Analytic master-integral results through O(ε²) are obtained for a three-loop family containing elliptic and K3 geometries by building and solving a mixed-sector ε-factorized differential equation.
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Heavy Jet Mass in Hadronic Higgs Decays
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An Optimal Transportation Approach for Improved Confidence Intervals
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Precise Predictions for Event Shapes in Hadronic Higgs Decays
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Perturbative QCD fitting of KEDR and BESIII $e^+e^-$ data for R(s) and $\alpha_s$ determination
Fits of combined KEDR and truncated BESIII data yield α_s(M_Z)=0.1179 (NLO), 0.1221 (NNLO), 0.1313 (N3LO), with the rise attributed to π² analytic-continuation effects.
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Perturbative QCD fitting of KEDR and BESIII $e^+e^-$ data for R(s) and $\alpha_s$ determination
Combined KEDR+BESIII R(s) fits below charm threshold yield α_s(M_Z) that systematically increases from NLO to N³LO, attributed to π² analytic-continuation effects.
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Perturbative QCD fitting of KEDR and BESIII $e^+e^-$ data for R(s) and $\alpha_s$ determination
Combined fits of KEDR and BESIII R(s) data yield alpha_s(M_Z) = 0.1179, 0.1221, and 0.1312 at NLO, NNLO, and NNNLO, demonstrating strong dependence on perturbative truncation order.
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Monte Carlo Event Generators for Future Lepton Colliders
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