New determinations of the charm and bottom quark masses using QCD quarkonium sum rules
- 1Southwest University of Science and Technology
- 2Chongqing University
- 3Chongqing Key Laboratory for Strongly Coupled Physics
Abstract
A bstract : We reanalyze the perturbative QCD (pQCD) corrections to quarkonium QCD sum rules and extract the heavy quark masses m̅q(m̅q) m ¯ q m ¯ q ( q = c , b ). At present, the pQCD corrections to the correlation functions of two heavy-quark pseudoscalar and vector currents at zero momentum transfer, denoted as Mn,qX,th(X=P,V) M n , q X , th X = P V , are calculated up to the 𝒪(αs3) O α s 3 order. These corrections exhibit significant renormalization scheme and scale dependence, which introduces large theoretical uncertainties and deteriorates the precision of heavy quark mass determinations. In this work, we eliminate the renormalization scheme and scale ambiguities in the perturbative part of Mn,qX,th M n , q X , th by adopting the Principle of Maximum Conformality (PMC) within the characteristic operator (CO) approach. The CO approach, a novel extension of the standard PMC procedure, simultaneously determines the effective coupling α s ( Q ∗ ) and the effective quark mass m̅q(Q∗) m ¯ q Q ∗ . It systematically absorbs the nonconformal { β i }-terms and { γ i }-terms via the renormalization group equations, yielding a strictly scheme- and scale-independent conformal perturbative series. Based on the improved PMC conformal series, we further provide reliable estimates for the unknown N ⁴ LO contributions using the Padé approximation method. The final predicted heavy quark masses in the MS̅ MS ¯ scheme read: m̅c(m̅c) m ¯ c m ¯ c = 1278.8 ± 3.9 MeV, extracted from the second moment of the charmed pseudoscalar correlator M2,cP M 2 , c P ; and m̅b(m̅b) m ¯ b m ¯ b = 4161.0 ± 9.0 MeV, extracted from the second moment of the bottom vector correlator M2,bV M 2 , b V . The quoted uncertainties include those from input parameters such as ∆〈 α s G ² 〉, ∆ α s ( m Z ), and ∆ m q , the uncertainties originating from experimental measurements and lattice QCD calculations, as well as the uncertainties come from unknown N ⁴ LO contribution (∆ UHO ). Both results agree well with the PDG world averages with deviations smaller than 2 σ .
Related
- Bottom-Charm [bc] Diquark Masses from QCD Laplace Sum-Rules
- The dead-cone effect in charm, bottom and top quark jets in angular and momentum space
- Properties of the positive and negative parity charm-strange and bottom-strange mesons Ds, Ds*, Ds0*, Ds1, Bs, Bs*, Bs0*, Bs1 from lattice QCD: masses, decay constants, and compositeness
- Charm and quarkonium production in collider and fixed-target mode at LHCb
- General Lindblad equation for quarkonium evolution in a quark-gluon plasma
BibTeX
@article{yu2026determinations,
title = {{New determinations of the charm and bottom quark masses using QCD quarkonium sum rules}},
author = {Qing Yu and Hua Zhou and Xing-Gang Wu},
journal = {Journal of High Energy Physics},
year = {2026},
month = oct,
doi = {10.1007/jhep10(2026)193},
url = {https://link.springer.com/article/10.1007/JHEP10(2026)193},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - New determinations of the charm and bottom quark masses using QCD quarkonium sum rules
AU - Qing Yu
AU - Hua Zhou
AU - Xing-Gang Wu
PY - 2026
DA - 2026/10/16
JO - Journal of High Energy Physics
DO - 10.1007/jhep10(2026)193
UR - https://link.springer.com/article/10.1007/JHEP10(2026)193
AB - A bstract : We reanalyze the perturbative QCD (pQCD) corrections to quarkonium QCD sum rules and extract the heavy quark masses m̅_q(m̅_q) m ¯ q m ¯ q ( q = c , b ). At present, the pQCD corrections to the correlation functions of two heavy-quark pseudoscalar and vector currents at zero momentum transfer, denoted as M_n,q^X,th(X=P,V) M n , q X , th X = P V , are calculated up to the 𝒪(α_s^3) O α s 3 order. These corrections exhibit significant renormalization scheme and scale dependence, which introduces large theoretical uncertainties and deteriorates the precision of heavy quark mass determinations. In this work, we eliminate the renormalization scheme and scale ambiguities in the perturbative part of M_n,q^X,th M n , q X , th by adopting the Principle of Maximum Conformality (PMC) within the characteristic operator (CO) approach. The CO approach, a novel extension of the standard PMC procedure, simultaneously determines the effective coupling α s ( Q ∗ ) and the effective quark mass m̅_q(Q_∗) m ¯ q Q ∗ . It systematically absorbs the nonconformal { β i }-terms and { γ i }-terms via the renormalization group equations, yielding a strictly scheme- and scale-independent conformal perturbative series. Based on the improved PMC conformal series, we further provide reliable estimates for the unknown N ⁴ LO contributions using the Padé approximation method. The final predicted heavy quark masses in the MS̅ MS ¯ scheme read: m̅_c(m̅_c) m ¯ c m ¯ c = 1278.8 ± 3.9 MeV, extracted from the second moment of the charmed pseudoscalar correlator M_2,c^P M 2 , c P ; and m̅_b(m̅_b) m ¯ b m ¯ b = 4161.0 ± 9.0 MeV, extracted from the second moment of the bottom vector correlator M_2,b^V M 2 , b V . The quoted uncertainties include those from input parameters such as ∆〈 α s G ² 〉, ∆ α s ( m Z ), and ∆ m q , the uncertainties originating from experimental measurements and lattice QCD calculations, as well as the uncertainties come from unknown N ⁴ LO contribution (∆ UHO ). Both results agree well with the PDG world averages with deviations smaller than 2 σ .
SN - 1029-8479
ER -