Eur. Phys. J. C 23, 539-544 (2002)
https://doi.org/10.1007/s100520100887

The anomalous chiral Lagrangian of order p⁶

¹ Dept. of Theor. Phys. 2, Lund University, Sölvegatan 14A, 22362 Lund, Sweden
² Dipartimento di Fisica, Università di Padova and INFN, Via Marzolo 8, 35131 Padova, Italy
³ Centre de Physique Théorique, CNRS--Luminy, Case 907, 13288 Marseille Cedex 9, France

Received: 31 October 2001
Revised: 18 December 2001
Published online: 22 February 2002

Abstract

We construct the effective chiral Lagrangian for chiral perturbation theory in the mesonic odd-intrinsic-parity sector at order p⁶. The Lagrangian contains 24 in principle measurable terms and no contact terms for the general case of N_f light flavors, 23 terms for three and 5 for two flavors. In the two flavor case we need a total of 13 terms if an external singlet vector field is included. We discuss and implement the methods used to reduce to a minimal set. The infinite parts needed for renormalization are calculated and presented as well.