The order $p^8$ mesonic chiral Lagrangian

Abstract

We derive the chiral Lagrangian at next-to-next-to-next-to-leading order (NNNLO) for a general number $N_f$ of light quark flavours as well as for $N_f=2,3$. We enumerate the contact terms separately. We also discuss the cases where some of the external fields are not included. An example of a choice of Lagrangian is given in the supplementary material.

23 pages, The file basis.pdf contains the full basis. Misprints in Lorentz indices in basis corrected w.r.t. v2

References in corpus (7)

• Mesonic low-energy constants
• Operator bases, $S$-matrices, and their partition functions
• A Periodic Table of Effective Field Theories
• Meson-meson Scattering in QCD-like Theories
• The Pion Mass and Decay Constant at Three Loops in Two-Flavour Chiral Perturbation Theory
• On the mesonic Lagrangian of order p^6 in chiral SU(2)
• Relations at Order $p^6$ in Chiral Perturbation Theory

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