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

Abstract

We present the results of calculations of the $p^4$ and $p^6$ order low-energy constants for the chiral Lagrangian with tensor sources for both two and three flavors of pseudoscalar mesons. This is a generalization of our previous work on similar calculations without tensor sources in terms of the quark self-energy $\Sigma (p^2)$, based on the first principle derivation of the low-energy effective Lagrangian and computation of the low-energy constants with some rough approximations. With the help of partial integration and some epsilon relations, we find that some $p^6$ order operators with tensor sources appearing in the literature are related to each other. That leaves 98 independent terms for $n$-flavor, 92 terms for three-flavor, and 65 terms for two-flavor cases. We also find that the odd-intrinsic-parity chiral Lagrangian with tensor sources cannot independently exist in any order of low-energy expansion.

29 pages

References in corpus (7)

• Chiral Perturbation Theory Beyond One Loop
• Form Factors in the radiative pion decay
• Tensor meson exchange at low energies
• Computation of the p6 order chiral Lagrangian coefficients from the underlying theory of QCD
• Computation of the coefficients for $p^6$ order anomalous chiral Lagrangian
• Chiral corrections to the f_V^T/f_V ratio for vector mesons
• A nondiagrammatic calculation of the Rho parameter from heavy fermions

Cited by in corpus (10)

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• Two-Meson Form Factors in Unitarized Chiral Perturbation Theory
• Full pseudoscalar mesonic chiral Lagrangian at p6 order under the unitary group
• Derivation of the effective Chiral Lagrangian for pseudoscalar, scalar, vector and axial-vector mesons from QCD
• $p_t$- dependence of the flow coefficients for pp collisions in the color string scenario. Monte-Carlo simulations
• Chiral effective Lagrangian for heavy-light mesons from QCD
• Chiral effective Lagrangian for excited heavy-light mesons from QCD
• Minimal Ward-Takahashi Vertices and Pion Light Cone Distribution Amplitudes from Gauge Invariant, Nonlocal, Dynamical Quark Model