Heavy Quark Masses from Sum Rules in Four-Loop Approximation

Abstract

New data for the total cross section $\sigma (e^{+}{e}^{-}\to hadrons)$ in the charm and bottom threshold region are combined with an improved theoretical analysis, which includes recent four-loop calculations, to determine the short distance $\overline{\mathrm{MS}}$ charm and bottom quark masses. A detailed discussion of the theoretical and experimental uncertainties is presented. The final result for the $\overline{\mathrm{MS}}$-masses, $m_c(3GeV)=0.986(13)$ GeV and $m_b(10GeV)=3.609(25)$ GeV, can be translated into $m_c(m_c)=1.286(13)$ GeV and $m_b(m_b)=4.164(25)$ GeV. This analysis is consistent with but significantly more precise than a similar previous study.

29 pages

References in corpus (59)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• 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
• The analytical value of the electron (g-2) at order alpha^3 in QED
• QCD at Low Energies
• A quark mass definition adequate for threshold problems
• The relation between the $\overline{\mathrm{MS}}$ and the on-shell quark mass at order ${\alpha }_s^3$
• Measurements of the Cross Section for e+e- -> hadrons at Center-of-Mass Energies from 2 to 5 GeV
• QCD Corrections to the $e^{+}{e}^{-}$ Cross Section and the $Z$ Boson Decay Rate
• Short Distance Mass of a Heavy Quark at Order α_s^3
• Determination of the bottom quark mass from the ${\rm Y}(1S)$ system
• The Large Quark Mass Expansion of Gamma (Z^0 -> hadrons) and Gamma(tau^- -> nu_tau + hadrons) in the Order alpha_s^3
• Heavy Quark Current Correlators to O(α_s^2)
• Fit to Moments of Inclusive B->Xc lv and B-> Xs gamma Decay Distributions using Heavy Quark Expansions in the Kinetic Scheme
• Strong-Coupling Constant with Flavor Thresholds at Five Loops in the MS-bar Scheme
• Determination of ${\alpha }_s$ and heavy quark masses from recent measurements of $R(s)$
• The bottom $\overline{\mathrm{MS}}$ quark mass from sum rules at next-to-next-to-leading order
• Heavy Quark Vacuum Polarisation to Three Loops
• Charm and Bottom Quark Masses from Perturbative QCD
• The b quark low-scale running mass from Upsilon sum rules
• Four-Loop Singlet Contribution to the $\rho$ Parameter
• A theory driven analysis of the effective QED coupling at $M_Z$
• Quarkonia and the Pole Mass
• Heavy Quarkonium Spectrum at $\mathcal{O}({\alpha }_s^5{m}_q)$ and Bottom/Top Quark Mass Determination
• High-precision epsilon expansions of single-mass-scale four-loop vacuum bubbles
• Four-loop moments of the heavy quark vacuum polarization function in perturbative QCD
• Two-Loop Gluon-Condensate Contributions To Heavy-Quark Current Correlators: Exact Results And Approximations
• Bottom quark pole mass and $|V_{cb}|$ matrix element from $R(e^{+}{e}^{-}\to b\bar{b})$ and ${\Gamma }_{sl}(b\to cl{\nu }_l)$ in the next-to-next-to-leading order
• Rhad: A program for the evaluation of the hadronic R-ratio in the perturbative regime of QCD
• High-precision e-expansions of massive four-loop vacuum bubbles
• Quartic mass corrections to R_had at order α_s^3
• Radiation of Light Fermions in Heavy Fermion Production
• ep-Finite Basis of Master Integrals for the Integration-By-Parts Method
• A Measurement of the Total Cross Section for $e^{+}{e}^{-}\to hadrons$ at $\sqrt{s}$=10.52 GeV
• A precise determination of the charm quark's mass in quenched QCD
• Radiation of Heavy Quarks
• Heavy quark masses in the continuum limit of quenched Lattice QCD
• Measurements of the continuum $R_{\mathrm{uds}}$ and $R$ values in $e^{+}{e}^{-}$ annihilation in the energy region between 3.650 and 3.872 GeV
• Four-Loop Tadpoles: Applications in QCD
• Calculating four-loop tadpoles with one non-zero mass
• Renormalization Group Improved Sum Rule Analysis for the Bottom Quark Mass
• Charm Quark Mass from Inclusive Semileptonic B Decays
• Heavy Quark Effective Theory computation of the mass of the bottom quark
• Bottom Quark Mass from Upsilon Mesons: Charm Mass Effects
• Uncertainties in the MSbar bottom quark mass from relativistic sum rules
• Massive Quark Production in Electron Positron Annihilation to Order ${\alpha }_s^2$
• Charm Quark Mass
• Heavy-quark QCD vacuum polarisation function: analytical results at four loops
• Heavy-quark vacuum polarization: first two moments of the O(alphas^3 nf^2) contribution
• MSbar Charm Mass from Charmonium Sum Rules with Contour Improvement
• Extracting alpha_s from Electron-Positron Annihilation around 10 GeV
• Double Bubble Corrections to Heavy Quark Production
• Measurement of B[Y(5S)->Bs(*) anti-Bs(*)] Using phi Mesons
• Di-electron Widths of the Upsilon(1S,2S,3S) Resonances
• Low-energy gluon contributions to the vacuum polarization of heavy quarks
• Hypergeometric representation of a four-loop vacuum bubble
• An unquenched lattice QCD calculation of the mass of the bottom quark
• The Impact of $\sigma (e^{+}{e}^{-}\to hadrons)$ Measurements at Intermediate Energies on the Parameters of the Standard Model

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• FLAG Review 2021
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• Handbook of LHC Higgs Cross Sections: 2. Differential Distributions
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• FLAG Review 2024
• Charmonium properties from lattice QCD + QED: hyperfine splitting, $J/\psi$ leptonic width, charm quark mass and $a_{\mu }^c$
• Charm quark system at the physical point of 2+1 flavor lattice QCD
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• Renormalization Group Improved Bottom Mass from Upsilon Sum Rules at NNLL Order
• Towards precise predictions for Higgs-boson production in the MSSM
• Moments of heavy quark correlators with two masses: exact mass dependence to three loops
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• Towards next-to-next-to-leading-log accuracy for the width difference in the $B_s-{\bar{B}}_s$ system: fermionic contributions to order $(m_c/m_b{)}^0$ and $(m_c/m_b{)}^1$
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• An estimate of the hadronic vacuum polarization disconnected contribution to the anomalous magnetic moment of the muon from lattice QCD
• Bottom Quark Mass from ${\rm Y}$ Sum Rules to $\mathcal{O}({\alpha }_s^3)$
• Axial Vector $J^{PC}=1^{++}$ Charmonium and Bottomonium Hybrid Mass Predictions with QCD Sum-Rules
• Color-octet scalar effects on Higgs boson production in gluon fusion
• Addendum to arXiv:0907.2110: "Charm and Bottom Quark Masses: An Update"
• Mass Predictions for Pseudoscalar $J^{PC}=0^{-+}$ Charmonium and Bottomonium Hybrids in QCD Sum-Rules
• Running of ${\alpha }_s$ and $m_b$ in the MSSM
• Penguin contribution to width difference and CP asymmetry in $B_q$-${\bar{B}}_q$ mixing at order ${\alpha }_s^2{N}_f$
• Resummation of Threshold, Low- and High-Energy Expansions for Heavy-Quark Correlators
• Determination of the quark condensate from heavy-light current-current correlators in full lattice QCD
• Analytic Reconstruction of heavy-quark two-point functions at O(α_s^3)
• Masses of the Bottom-Charm Hybrid $\bar{b}Gc$ States
• The charm quark mass from non-relativistic sum rules
• B Meson Decays
• Triply heavy $QQ\bar{Q}\bar{q}$ tetraquark states
• Bottomonium precision tests from full lattice QCD: hyperfine splitting, ${\rm Y}$ leptonic width and $b$ quark contribution to $e^{+}{e}^{-}\to$ hadrons
• Form factors $f_{+}^{B\to \pi }(0)$ and $f_{+}^{D\to \pi }(0)$ in $QCD$ and determination of $|V_{ub}|$ and $|V_{cd}|$
• Charm-quark mass from weighted finite energy QCD sum rules
• Finding a way to determine the pion distribution amplitude from the experimental data
• Charm Quark Mass with Calibrated Uncertainty
• Upper bounds on $f_D$ and $f_{D_s}$ from two-point correlation function in QCD
• Low- and High-Energy Expansion of Heavy-Quark Correlators at Next-To-Next-To-Leading Order
• Precise determination of ${\alpha }_s$ from relativistic quarkonium sum rules
• Non-perturbative renormalization of the chromo-magnetic operator in Heavy Quark Effective Theory and the B* - B mass splitting
• Precise ${\alpha }_s$ determination from charmonium sum rules
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• Probing New Physics in Charm Couplings with FCNC
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• Higgs boson decay to charmonia via $c$-quark fragmentation
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