Chiral sum rules to second order in quark mass

Details Chiral sum rules to second order in quark mass Chiral sum rules to second order in quark mass

1997-07-14

arxiv.org/abs/hep-ph/9707341v2

Phys.Rev.Lett. 79 (1997) 4092-4095

Physics

High Energy Physics

High Energy Physics - Phenomenology

Figures extended down to threshold; Eq. (19) expressed in simplified form

Scientific paper

10.1103/PhysRevLett.79.4092

A new calculation of the isospin and hypercharge axialvector current propagators ($\Delta_{A33}^{\mu\nu}(q^2)$ and $\Delta_{A88}^{\mu\nu}(q^2)$) to two loops in SU(3) x SU(3) chiral perturbation theory is used to derive chiral spectral function sum rules valid to second order in the light quark masses. Explicit forms are given for the three-pion isospin axialvector spectral functions at low energy and application of the sum rules to the determination of counterterms of the chiral lagrangian is discussed.

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