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The order $p^8$ mesonic chiral Lagrangian
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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.
Forward citations
Cited by 3 Pith papers
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Chiral Effective Field Theories for Strong and Weak Dynamics
The paper constructs complete and minimal relativistic operator bases for nucleon-nucleon, pion-nucleon-nucleon, and three-nucleon sectors up to p6, and a spurion-based leptonic sector up to p4, using Hilbert series a...
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Systematic Spurion Matching between Low Energy EFT and Chiral Lagrangian
A single SU(3)_V spurion can organize both LEFT and chiral Lagrangian operators up to dimension 9, enabling systematic operator-level matching between quark and hadron levels.
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Shift symmetries, soft limits, and the double copy beyond leading order
For higher-derivative corrections, shift symmetry no longer guarantees double-copy compatibility; even-point amplitudes can be made compatible by tuning coefficients, odd-point ones cannot.
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