$m_b$ at $m_H$: the running bottom quark mass and the Higgs boson

Abstract

We present a new measurement of the bottom quark mass in the $\overline{MS}$ scheme at the renormalization scale of the Higgs boson mass from measurements of Higgs boson decay rates at the LHC: $m_b(m_H)=2.60_{-0.31}^{+0.36}$ GeV. The measurement has a negligible theory uncertainty and excellent prospects to improve at the HL-LHC and a future Higgs factory. Confronting this result, and $m_b(m_b)$ from low-energy measurements and $m_b(m_Z)$ from $Z-$pole data, with the prediction of the scale evolution of the renormalization group equations, we find strong evidence for the "running" of the bottom quark mass.

4 pages + 2 figures + 2 pages of supplementary material

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• 50 Years of Quantum Chromodynamics
• Factorization at Next-to-Leading Power and Endpoint Divergences in $gg\to h$ Production
• Physical Tuning and Naturalness
• Renormalization group summation and analytic continuation from spacelike to timeline regions
• Running of the top quark mass at NNLO in QCD
• Three-loop master integrals for the Higgs boson self-energy with internal top-quarks and W-bosons
• Parameter Inference from Final-State Entanglement in Higgs Decays