1203.0712 (Shao-Zhou Jiang et al.)

Computation of the $p^6$ order low-energy constants with tensor sources    [PDF]

Shao-Zhou Jiang, Qing Wang

We present the results of computing the $p^4$ and $p^6$ order low-energy constants of the chiral Lagrangian with tensor sources for both two and three flavors pseudoscalar mesons. This is a generalization of our previous work on calculating the $p^4$ and $p^6$ order coefficients of the chiral Lagrangian without tensor sources in terms of the quark self-energy $\Sigma(p^2)$. We find that some $p^6$ order operators with tenor sources used in the literature are related to each other with the help of some epsilon relations. There leaves 100 independent terms for $n$-flavor, 94 terms for 3-flavor, and 67 terms for 2-flavor cases. We also find that the odd-intrinsic-parity chiral Lagrangian with tensor sources can not exist.

View original: http://arxiv.org/abs/1203.0712