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Chiral corrections to the f_V^T/f_V ratio for vector mesons

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arxiv 0907.5422 v1 pith:UGU7DY73 submitted 2009-07-30 hep-ph hep-lat

Chiral corrections to the f_V^T/f_V ratio for vector mesons

classification hep-ph hep-lat
keywords chiralcorrectionsleadinglogarithmsvectormesonratiotimes
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this letter we compute the leading chiral corrections to the ratio between the tensor and the vector decay couplings for the lowest lying vector meson multiplet (rho, K^*, phi). We show that the leading chiral logarithms arise from tadpole contributions and are therefore entirely fixed by chiral symmetry, while the next to leading corrections are purely analytic. Interestingly, the flavour structure of the chiral logarithms implies that only the rho meson is sensitive to pion logarithms. By examining SU(2)_L\times SU(2)_R\times U(1)_S theories we show that this result can be easily understood and that it holds to all orders in the m_s expansion. Recent lattice data seem to comply with our results.

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