Determination of the magnetic susceptibility of the quark condensate using radiative heavy meson decays

Abstract

We use a light-cone sum rule (LCSR) analysis of the branching ratios of radiative meson decays to contrain the value of the magnetic susceptibility of the quark condensate $\chi (\mu )$. For the first time, we use a complete set of three-particle distribution amplitudes that enables us to give a consistent prediction for the branching ratios. Furthermore we will make use of a very recent update of several non-perturbative parameters. Our final result for $\chi (\mu =1\mathrm{GeV})=2.85\pm 0.5{\mathrm{GeV}}^{-2}$ (assuming asymptotic wave functions) agrees with the currently used value of $3.15\pm 0.3{\mathrm{GeV}}^{-2}$.

arXiv comment21 pages, 4 figures, references added

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• The $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings from light-cone sum rules
• Vortical susceptibility of finite-density QCD matter
• Magnetic dipole moments of the $Z_c(4020{)}^{+}$, $Z_c(4200{)}^{+}$, $Z_{cs}(4000{)}^{+}$ and $Z_{cs}(4220{)}^{+}$ states in light-cone QCD
• The magnetic moment of the $Z_c(3900)$ as an axialvector tetraquark state with QCD sum rules
• Electromagnetic form factors of the $B_c$-like tetraquarks: molecular and diquark-antidiquark pictures
• Magnetic dipole moment of $Z_b(10610)$ in light-cone QCD
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• Successes and Failures of a More Comprehensive Hard Wall AdS/QCD
• Magnetic moments of the vector hidden-charmed tetraquark states
• Magnetic dipole moments of $B_{(s)}^{(\ast )}{B}_{(s)}^{(\ast )}$ states
• Zero mode solutions of quark Dirac equations in QCD as the sources of chirality violating condensates
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• Magnetic moment of $X_Q$ state with $J^{PC}=1^{+\pm }$ in light cone QCD sum rules
• Multipole Moments of Heavy Vector and Axial-Vector Mesons in QCD
• The electromagnetic multipole moments of the possible charm-strange pentaquarks in light-cone QCD
• Photon Distribution Amplitudes in nonlocal chiral quark model
• Magnetic susceptibility of the QCD vacuum in a nonlocal SU(3) PNJL model
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• Radiative decays of the heavy tensor mesons in light cone QCD sum rules
• Magnetic moments of ${\Xi }_Q^{\prime }$-${\Xi }_Q$ transitions in light cone QCD
• Strong and electromagnetic decays of the radially excited $D_s$ and $B_s$ mesons in light cone QCD sum rules
• Analytic electromagnetic signatures of compact pentaquark structure: A multi-current QCD light-cone sum rules analysis of the $P_{\psi s}^{\Lambda }$ states
• Charting doubly strange hidden-charm pentaquarks: An electromagnetic mapping of spin-$\frac{1}{2}$ and $\frac{3}{2}$ states
• Radiative vertex $VP\gamma$ and $\eta -{\eta }^{\prime }$ mixing in light-cone sum rules
• Phenomenology of the Heavy Flavored spin 3/2 Baryons in Light Cone QCD
• Structural dissection of hadronic molecules: The $D^{(\ast )}{\bar{K}}^{(\ast )}$ family under QCD light-cone sum rules
• Chirality violating condensates in QCD and their connection with zero mode solutions of quark Dirac equations
• QCD calculations of radiative heavy meson decays with subleading power corrections