Strong Isospin Breaking in the Decay Constants of Heavy-Light Mesons from Local-Duality QCD Sum Rules

Abstract

We explore, by a rather peculiar limit of QCD sum rules subject to a Borel transformation (realized by allowing the related Borel mass parameter to approach infinity), how the small difference of the masses of up and down quark translates into the leptonic decay constants of pseudoscalar or vector heavy-light mesons. For the charmed and bottom mesons, we find that the decay constants of their lowest-lying charged and neutral representatives should differ by an amount of the order of 1 MeV.

arXiv comment8 pages, 4 figures, talk presented at "XIII Quark Confinement and the Hadron Spectrum - Confinement2018" (31 July - 6 August 2018, Maynooth University, Ireland)

References in corpus (18)

• f_B and f_B_s from QCD sum rules
• Decay constants of heavy-light vector mesons from QCD sum rules
• OPE, charm-quark mass, and decay constants of D and D_s mesons from QCD sum rules
• Decay constants of the charmed vector mesons $D^{\ast }$ and $D_s^{\ast }$ from QCD sum rules
• Decay constants of heavy pseudoscalar mesons from QCD sum rules
• Systematic uncertainties of hadron parameters obtained with QCD sum rules
• Masses and decay constants of D(s)* and B(s)* mesons with Nf = 2 + 1 + 1 twisted mass fermions
• Masses and decay constants of $D_{(s)}^{\ast }$ and $B_{(s)}^{\ast }$ mesons in Lattice QCD with $N_f=2+1+1$ twisted-mass fermions
• Extraction of ground-state decay constant from dispersive sum rules: QCD vs potential models
• Can one control systematic errors of QCD sum rule predictions for bound states?
• Accuracy of bound-state form factors extracted from dispersive sum rules
• Hadron form factors from sum rules for vacuum-to-hadron correlators
• Effective continuum threshold for vacuum-to-bound-state correlators
• Accurate bottom-quark mass from Borel QCD sum rules for $f_B$ and $f_{B_s}$
• Accurate decay-constant ratios $f_{B^{\ast }}/f_B$ and $f_{B_s^{\ast }}/f_{B_s}$ from Borel QCD sum rules
• Isospin breaking in the decay constants of heavy mesons from QCD sum rules
• Isospin Breaking in Heavy-Meson Decay Constants
• Strong Isospin Breaking in Heavy-Meson Decay Constants: Employing Borelized QCD Sum Rules in Local-Duality Limit

Cited by in corpus (1)

• Exotic tetraquark states with $J^{PC}=0^{+-}$