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

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

2007-08-10

arxiv.org/abs/0708.1405v2

JHEP 0709:073,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, 4 figures, references added

Scientific paper

10.1088/1126-6708/2007/09/073

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 $\chi(\mu= 1 {\rm GeV})= 2.85 \pm 0.5 {\rm GeV}^{-2}$ (assuming asymptotic wave functions) agrees with the currently used value of $3.15 \pm 0.3 {\rm GeV}^{-2}$.

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