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.

arXiv commentv2 - corrected some typos and an error in the summary plot

References in corpus (61)

• The four-loop beta-function in Quantum Chromodynamics
• Improved Nonrelativistic QCD for Heavy Quark Physics
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• The three loop relation between the \bar {MS} and the pole quark masses
• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• Heavy Quark Effective Theory beyond Perturbation Theory: Renormalons, the Pole Mass and the Residual Mass Term
• The static potential in QCD to two loops
• Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme
• Light hadrons with improved staggered quarks: approaching the continuum limit
• High-Precision c and b Masses, and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• Constrained Curve Fitting
• Charm and Bottom Quark Masses: an Update
• The static quark-antiquark potential in QCD to three loops
• Flavor-Symmetry Restoration and Symanzik Improvement for Staggered Quarks
• Lattice QCD on Small Computers
• The Upsilon spectrum and m_b from full lattice QCD
• The static potential in QCD - a full Two-Loop Calculation
• Global analysis of inclusive B decays
• Precise heavy-light meson masses and hyperfine splittings from lattice QCD including charm quarks in the sea
• On the running coupling constant in QCD
• The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea
• Gluon Condensates and m_{c,b} from QCD-Moments and their ratios to Order alpha_s^3 and <G^4>
• High-Precision Charm-Quark Mass and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• Fit to Moments of Inclusive B->Xc lv and B-> Xs gamma Decay Distributions using Heavy Quark Expansions in the Kinetic Scheme
• Precise determination of the lattice spacing in full lattice QCD
• Charm and Bottom Quark Masses from Perturbative QCD
• Gluon Condensates and m_b(m_b) from QCD-Exponential Moments at Higher Orders
• Heavy Quarkonium Spectrum at $\mathcal{O}({\alpha }_s^5{m}_q)$ and Bottom/Top Quark Mass Determination
• Accurate Determinations of ${\alpha }_s$ from Realistic Lattice QCD
• Quarkonium spectroscopy and perturbative QCD: massive quark-loop effects
• A New Determination of M_b Using Lattice QCD
• Precise B, B_s and B_c meson spectroscopy from full lattice QCD
• Lattice QCD determination of m_b, f_B and f_Bs with twisted mass Wilson fermions
• Prediction of the bottomonium D-wave spectrum 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
• Perturbative expansions from Monte Carlo simulations at weak coupling: Wilson loops and the static-quark self-energy
• Bottom-quark mass from finite energy QCD sum rules
• One-Loop Matching of the Heavy-Light A_0 and V_0 Currents with NRQCD Heavy and Improved Naive Light Quarks
• Uncertainties in the MSbar bottom quark mass from relativistic sum rules
• Scale setting for alpha_s beyond leading order
• Automated generation of lattice QCD Feynman rules
• Automatically generating Feynman rules for improved lattice field theories
• MSbar Charm Mass from Charmonium Sum Rules with Contour Improvement
• Anathematizing the Guralnik and Manohar Inequality for \barΛ
• Quark-antiquark potential to order 1/m and heavy quark masses
• Precision Determination of Heavy Quark Masses and the Strong Coupling Constant
• Moving NRQCD for heavy-to-light form factors on the lattice
• Renormalon Ambiguities in NRQCD Operator Matrix Elements
• QCD moment sum rules for Coulomb systems: the charm and bottom quark masses
• Second Order Perturbation Theory for Improved Gluon and Staggered Quark Actions
• Bottom quark mass and QCD duality
• One loop calculation of the renormalised anisotropy for improved anisotropic gluon actions on a lattice
• Leptonic widths of heavy quarkonia: S-Wave QCD/NRQCD matching coefficients for the electromagnetic vector annihilation current at O(alpha_s v^2)
• Perturbation theory vs. simulation for tadpole improvement factors in pure gauge theories
• The contribution of O(alpha) radiative corrections to the renormalised anisotropy and application to general tadpole improvement schemes: addendum to "One loop calculation of the renormalised anisotropy for improved anisotropic gluon actions on a lattice" [hep-lat/0208010]
• Lattice perturbation theory for gluonic and fermionic actions
• TaylUR 3, a multivariate arbitrary-order automatic differentiation package for Fortran 95
• Nonperturbative ``Lattice Perturbation Theory''
• Perturbative Wilson loops from unquenched Monte Carlo simulations at weak couplings
• Renormalization of heavy-light currents in moving NRQCD

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• FLAG Review 2019
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• High-precision quark masses and QCD coupling from $n_f=4$ lattice QCD
• Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor 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
• Mass of the b-quark and B-decay constants from Nf=2+1+1 twisted-mass Lattice QCD
• 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
• Nonrelativistic lattice study of stoponium
• Strong coupling and quark masses from lattice QCD
• Improving the Kinetic Couplings in Lattice Non-Relativistic QCD