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arXiv · 1603.05524

Renormalisation of the low-energy constants of chiral perturbation theory from loops with dynamical vector mesons

Carla Terschlüsen·Stefan Leupold
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Abstract

Starting from a relativistic Lagrangian for pseudoscalar Goldstone bosons and vector mesons in the antisymmetric tensor representation, a one-loop calculation is performed to pin down the divergent structures that appear for the effective low-energy action at chiral orders Q^2 and Q^4. The corresponding renormalisation-scale dependences of all low-energy constants up to chiral order Q^4 are determined. Calculations are carried out for both the pseudoscalar octet and the pseudoscalar nonet, the latter in the framework of chiral perturbation theory in the limit of a large number of colours.

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Carla Terschlüsen, Stefan Leupold. 2016-03-17. Renormalisation of the low-energy constants of chiral perturbation theory from loops with dynamical vector mesons. https://doi.org/10.1103/physrevd.94.014021

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