The mass of the b-quark from lattice NRQCD and lattice perturbation theory

Abstract

We present a determination of the b-quark mass accurate through O(α_s^2) in perturbation theory and including partial contributions at O(α_s^3). Nonperturbative input comes from the calculation of the Upsilon and B_s energies in lattice QCD including the effect of u, d and s sea quarks. We use an improved NRQCD action for the b-quark. This is combined with the heavy quark energy shift in NRQCD determined using a mixed approach of high-beta simulation and automated lattice perturbation theory. Comparison with experiment enables the quark mass to be extracted: in the MS bar scheme we find m_b(m_b) = 4.166(43) GeV.

v2 - corrected some typos and an error in the summary plot

References in corpus (11)

• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• On the running coupling constant in QCD
• High-Precision Charm-Quark Mass and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• Charm and Bottom Quark Masses from Perturbative QCD
• Precise B, B_s and B_c meson spectroscopy from full lattice QCD
• Renormalization Group Improved Sum Rule Analysis for the Bottom Quark Mass
• Renormalization Group Improved Bottom Mass from Upsilon Sum Rules at NNLL Order
• Automatically generating Feynman rules for improved lattice field theories
• Quark-antiquark potential to order 1/m and heavy quark masses
• Moving NRQCD for heavy-to-light form factors on the lattice
• Leptonic widths of heavy quarkonia: S-Wave QCD/NRQCD matching coefficients for the electromagnetic vector annihilation current at O(alpha_s v^2)

Cited by in corpus (10)

• FLAG Review 2021
• High-precision quark masses and QCD coupling from $n_f=4$ lattice QCD
• The ${\rm Y}$ and ${{\rm Y}}^{\prime }$ Leptonic Widths, $a_{\mu }^b$ and $m_b$ from full lattice QCD
• FLAG Review 2024
• Challenges in Semileptonic B Decays
• The bottom quark mass from the ${\rm Y}(1S)$ system at NNNLO
• Strong coupling constant and quark masses from lattice QCD
• Determination of ${\overline{m}}_b/{\overline{m}}_c$ and ${\overline{m}}_b$ from $n_f=4$ lattice QCD$+$QED
• $m_b$ at $m_H$: the running bottom quark mass and the Higgs boson
• Improving the Kinetic Couplings in Lattice Non-Relativistic QCD