The anomalous chiral Lagrangian of order $p^6$

Details The anomalous chiral Lagrangian of order $p^6$ The anomalous chiral Lagrangian of order $p^6$

2001-10-31

arxiv.org/abs/hep-ph/0110400v3

Eur.Phys.J.C23:539-544,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, misprint in table 2 corrected

Scientific paper

10.1007/s100520100887

We construct the effective chiral Lagrangian for chiral perturbation theory in the mesonic odd-intrinsic-parity sector at order $p^6$. The Lagrangian contains 24 in principle measurable terms and no contact terms for the general case of $N_f$ light flavours, 23 terms for three and 5 for two flavours. In the two flavour 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.

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