The $B_c$ mass up to order ${\alpha }_s^4$

Abstract

We evaluate in perturbative QCD, up to order ${\alpha }_s^4$, the mass of the $B_c$. We use the so-called 1S-mass in order to improve the convergence of the perturbative series. Our result is $E(B_c{)}_{pert}=6326_{-9}^{+29}$ MeV. Non-perturbative effects are discussed. A comparison with potential models seems to be consistent with non-perturbative contributions of the order $-(40÷100)$ MeV.

14 pages, revtex, 2 figures, minor changes, discussion on the non-perturbative corrections added, final version to appear in Phys. Rev. D

References in corpus (4)

• Potential NRQCD: an effective theory for heavy quarkonium
• The Heavy Quarkonium Spectrum at Order $m{\alpha }_s^5\ln {\alpha }_s$
• Charm Effects in the $\overline{MS}$ Bottom Quark Mass from ${\rm Y}$ Mesons
• Heavy Quark Masses from the $Q\bar{Q}$ Threshold and the Upsilon Expansion

Cited by in corpus (45)

• Heavy quarkonium: progress, puzzles, and opportunities
• The $XYZ$ states: experimental and theoretical status and perspectives
• Effective field theories for heavy quarkonium
• Properties of heavy quarkonia and B_c mesons in the relativistic quark model
• The Physics of the B Factories
• Spectroscopy of B_c Mesons in the Relativized Quark Model
• 50 Years of Quantum Chromodynamics
• The QCD potential at O(1/m^2): Complete spin-dependent and spin-independent result
• Prospects for the Bc Studies at LHCb
• Quarkonium spectroscopy and perturbative QCD: massive quark-loop effects
• Mass of the B_c Meson in Three-Flavor Lattice QCD
• Review of Heavy Quarkonium at weak coupling
• Quarkonium Spectroscopy and Perturbative QCD: A New Perspective
• Meson spectrum in Regge phenomenology
• Variational Study of Weakly Coupled Triply Heavy Baryons
• Bc Meson Formfactors and Bc-->PV Decays Involving Flavor Dependence of Transverse Quark Momentum
• $M(B_c^{\ast })-M(B_c)$ Splitting from Nonrelativistic Renormalization Group
• Spectroscopy of ${\mathbf{B}}_{\mathbf{c}}$ mesons and the possibility of finding exotic ${\mathbf{B}}_{\mathbf{c}}$-like structures
• Analysis of the vector and axialvector $B_c$ mesons with QCD sum rules
• Heavy quark potential in the static limit of QCD
• A Systematic Study on Nonrelativistic Quarkonium Interaction
• Perturbative QCD Potential, Renormalon Cancellation and Phenomenological Potentials
• Non-leptonic charmless Bc decays and their search at LHCb
• B_{c} meson and the light-heavy quarkonium spectrum
• The $B_c\to D^{(\ast )}T$ decays in perturbative QCD approach
• A Connection Between The Perturbative QCD Potential and Phenomenological Potentials
• Potential NRQCD for unequal masses and the $B_c$ spectrum at NNNLO
• Towards the discovery of novel $B_c$ states: radiative and hadronic transitions
• Analysis of the heavy quarkonium states $h_c$ and $h_b$ with QCD sum rules
• Bound Energy Masses of Mesons Containing the Fourth Generation and Iso-singlet Quarks
• Precision measurement of the $B_c^{+}$ meson mass
• Calculation of the B_{c}leptonic decay constant using the shifted N-expansion method
• $B_c$ meson spectroscopy motivated by general features of pNRQCD
• The $B_c$ meson and its scalar cousin with the QCD sum rules
• Study of $B_c\to DS$ Decays in PQCD Approach
• Semileptonic $B_c^{-}\to D^{\ast 0}\ell \nu$ transition in three--point QCD sum rules and HQET with gluon condensate corrections
• Non-relativistic quark-antiquark potential: spectroscopy of heavy-quarkonia and exotic SUSY quarkonia
• Heavy Hadron Spectroscopy
• Heavy Quarkonium Physics from Effective Field Theories
• Exclusive Semileptonic Decays of Bc Meson
• Model Independent Results for Heavy Quarkonium
• Rare Radiative Decays of Vector and Axial-Vector $B_c$ Mesons to $(D_s,D_s^{\ast },D_{s1})$ Final States
• Potential models, sum rules, color singlet model versus NREFT in Heavy Quarkonium
• Baryon-baryon, meson-meson, and meson-baryon interactions in nonrelativistic QCD
• Applications of Nonrelativistic Effective Field Theories to quarkonium systems with a small radius