The bottom-quark mass from non-relativistic sum rules at NNNLO

Abstract

We determine the mass of the bottom quark from high moments of the bottom production cross section in e+ e- annihilation, which are dominated by the threshold region. On the theory side next-to-next-to-next-to-leading order (NNNLO) calculations both for the resonances and the continuum cross section are used for the first time. We find mb,PS(2 GeV) = 4.532 +0.013 -0.039 GeV for the potential-subtracted mass and mb,MSbar(mb,MSbar) = 4.193 +0.022 -0.035 GeV for the MSbar bottom-quark mass.

arXiv comment37 pages, 5 figures. Minor change in charm-effect uncertainty, update of conversion uncertainty for MSbar mass, added clarifications and references

References in corpus (53)

• New features of FORM
• RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses
• The three loop relation between the \bar {MS} and the pole quark masses
• Effective Field Theory for Ultrasoft Momenta in NRQCD and NRQED
• Hadronic top-quark pair production with NNLL threshold resummation
• Heavy Quark Effective Theory beyond Perturbation Theory: Renormalons, the Pole Mass and the Residual Mass Term
• The Pole Mass of The Heavy Quark. Perturbation Theory and Beyond
• A quark mass definition adequate for threshold problems
• The relation between the $\overline{\mathrm{MS}}$ and the on-shell quark mass at order ${\alpha }_s^3$
• Three-Loop Polarization Function and $\mathcal{O}({\alpha }_s^2)$ Corrections to the Production of Heavy Quarks
• Charm and Bottom Quark Masses: an Update
• Naive nonabelianization and resummation of fermion bubble chains
• Resummation of $({\beta }_0{\alpha }_s{)}^n$ Corrections in QCD: Techniques and Applications to the $\tau$ Hadronic Width and the Heavy Quark Pole Mass
• Three-loop static potential
• Renormalization group scaling in nonrelativistic QCD
• B decay and the Upsilon mass
• Static QCD potential at three-loop order
• Determination of the bottom quark mass from the ${\rm Y}(1S)$ system
• Structural Relations of Harmonic Sums and Mellin Transforms up to Weight w = 5
• Top quark production near threshold and the top quark mass
• Potential NRQCD and Heavy-Quarkonium Spectrum at Next-to-Next-to-Next-to-Leading Order
• The bottom $\overline{\mathrm{MS}}$ quark mass from sum rules at next-to-next-to-leading order
• Ultrasoft Effects in Heavy-Quarkonium Physics
• Reconstruction of heavy quark current correlators at O(α_s^3)
• The b quark low-scale running mass from Upsilon sum rules
• High Power n of m_b in Beauty Widths and n=5 -> oo Limit
• Third-order Coulomb corrections to the S-wave Green function, energy levels and wave functions at the origin
• 1S and MSbar Bottom Quark Masses from Upsilon Sum Rules
• Measurement of the e+e- --> b anti-b cross section between sqrt(S)=10.54 and 11.20 GeV
• Precision determination of ${\alpha }_s$ and $m_b$ from QCD sum rules for $b\overline{b}$.
• Light Fermion Finite Mass Effects in Non-relativistic Bound States
• Power Counting in Dimensionally Regularized NRQCD
• More on ambiguities in the pole mass
• Heavy Quark Vacuum Polarization Function at O(alpha_s^2) and O(alpha_s^3)
• The bottom quark mass from the ${\rm Y}(1S)$ system at NNNLO
• Nonabelian alpha_s^3/(m_q r^2) heavy-quark-antiquark potential
• Higher Moments of Heavy Quark Correlators in the Low Energy Limit at O(alpha_s^2)
• Heavy Quarkonium Spectrum and Production/Annihilation Rates to order ${\beta }_0^3{\alpha }_s^3$
• Ultrasoft contribution to quarkonium production and annihilation
• Light quark mass effects in the on-shell renormalization constants
• The static QCD potential in coordinate space with quark masses through two loops
• Leptonic decay of the Upsilon(1S) meson at third order in QCD
• Three-loop matching of the vector current
• Ultrasoft contribution to heavy-quark pair production near threshold
• Four-Loop Tadpoles: Applications in QCD
• Third-order non-Coulomb correction to the S-wave quarkonium wave functions at the origin
• Renormalization Group Improved Sum Rule Analysis for the Bottom Quark Mass
• Renormalization Group Improved Bottom Mass from Upsilon Sum Rules at NNLL Order
• Bottom Quark Mass from ${\rm Y}$ Sum Rules to $\mathcal{O}({\alpha }_s^3)$
• Third-order correction to top-quark pair production near threshold I. Effective theory set-up and matching coefficients
• Analytic Continuation of Harmonic Sums
• Massive Fermionic Corrections to the Heavy Quark Potential Through Two Loops
• B_c - meson sum rules at next-to-leading order

Cited by in corpus (52)

• The $XYZ$ states: experimental and theoretical status and perspectives
• Version 3 of {\tt RunDec} and {\tt CRunDec}
• Quark mass relations to four-loop order
• 50 Years of Quantum Chromodynamics
• Precision determination of the CKM element Vcb
• $\overline{\mathrm{MS}}$-on-shell quark mass relation up to four loops in QCD and a general SU$(N)$ gauge group
• Bs mixing observables and Vtd/Vts from sum rules
• Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD
• QCD corrections to $B\to \pi$ form factors from light-cone sum rules
• One constraint to kill them all?
• Perturbative Corrections to ${\Lambda }_b\to \Lambda$ Form Factors from QCD Light-Cone Sum Rules
• Precision calculations of $B\to V$ form factors in QCD
• Dimension-six matrix elements for meson mixing and lifetimes from sum rules
• Subleading-power corrections to the radiative leptonic $B\to \gamma \ell \nu$ decay in QCD
• Perturbative corrections to $B\to D$ form factors in QCD
• Factorization and dispersion relations for radiative leptonic $B$ decay
• QCD calculations of $B\to \pi ,K$ form factors with higher-twist corrections
• Analytic three-loop static potential
• The charm/bottom quark mass from heavy quarkonium at N${}^3$LO
• Near-threshold production of heavy quarks with QQbar_threshold
• $B_{d,s}\to \gamma \ell \bar{\ell }$ decay with an energetic photon
• Precision calculations of $B_{d,s}\to \pi ,K$ decay form factors in soft-collinear effective theory
• The MSR Mass and the $\mathcal{O}({\Lambda }_{\mathrm{QCD}})$ Renormalon Sum Rule
• Thermal quarkonium physics in the pseudoscalar channel
• Bottom and Charm Mass determinations from global fits to $Q\bar{Q}$ bound states at N${}^3$LO
• Non-resonant and electroweak NNLO correction to the $e^{+}{e}^{-}$ top anti-top threshold
• $SU(3)$ breaking effects in $B$ and $D$ meson lifetimes
• $B\to D\ell {\nu }_{\ell }$ form factors beyond leading power and extraction of $|V_{cb}|$ and $R(D)$
• Pole mass renormalon and its ramifications
• QCD factorization for the four-body leptonic $B$-meson decays
• Determination of $m_c$ and $m_b$ from quarkonium 1S energy levels in perturbative QCD
• REvolver: Automated running and matching of couplings and masses in QCD
• Precision calculations of the double radiative bottom-meson decays in soft-collinear effective theory
• Strong IR Cancellation in Heavy Quarkonium and Precise Top Mass Determination
• The QCD Static Energy using Optimal Renormalization and Asymptotic Padé-approximant Methods
• Precise determination of ${\alpha }_s$ from relativistic quarkonium sum rules
• $m_b$ at $m_H$: the running bottom quark mass and the Higgs boson
• The role of low-energy observables in precision Higgs analysis
• Higher-order condensate corrections to ${\rm Y}$ masses, leptonic decay rates and sum rules
• Renormalon subtraction in OPE using Fourier transform: Formulation and application to various observables
• Three-loop matching coefficients for heavy flavor-changing currents and the phenomenological applications
• On renormalons of static QCD potential at $u=1/2$ and $3/2$
• Charm-quark mass effects in NRQCD matching coefficients and the leptonic decay of the ${\rm Y}(1S)$ meson
• NNNLO determination of the bottom-quark mass from non-relativistic sum rules
• Multiloop contributions to the on-shell-$\overline{\mathrm{MS}}$ heavy quark mass relation in QCD and the asymptotic structure of the corresponding series: the updated consideration
• Bottom and Charm Mass Determinations with a Convergence Test
• $D^{\ast }D\rho$ and $B^{\ast }B\rho$ strong couplings in light-cone sum rules
• Renormalon Subtraction in OPE by Dual Space Approach: Nonlinear Sigma Model and QCD
• Three-Loop OPE Wilson Coefficients of Dimension-Four Operators for (Axial-)Vector and (Pseudo-)Scalar Current Correlators
• Inclusive semileptonic B decays and |Vcb|
• Bottom Quark Mass with Calibrated Uncertainty
• QCD calculations of radiative heavy meson decays with subleading power corrections