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Extension of the Chiral Perturbation Theory Meson Lagrangian to Order $P^6$

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arxiv hep-ph/9408346 v1 pith:447MTMDQ submitted 1994-08-22 hep-ph hep-thnucl-th

classification hep-phhep-thnucl-th
keywords lagrangiantermsorderextensionmesonprocessesredundantresult
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abstract

We have derived the most general chirally invariant Lagrangian ${\cal L}_6$ for the meson sector at order $p^6$. The result provides an extension of the standard Gasser-Leutwyler Lagrangian ${\cal L}_4$ to one higher order, including as well all the odd intrinsic parity terms in the Lagrangian. The most difficult part of the derivation was developing a systematic strategy so as to get all of the independent terms and eliminate the redundant ones in an efficient way. The 'equation of motion' terms, which are redundant in the sense that they can be transformed away via field transformations, are separated out explicitly. The resulting Lagrangian has been separated into groupings of terms contributing to increasingly more complicated processes, so that one does not have to deal with the full result when calculating $p^6$ contributions to simple processes.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Chiral Effective Field Theories for Strong and Weak Dynamics

    hep-ph 2025-01 conditional novelty 7.0 of 10

    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...

  2. Systematic Spurion Matching between Low Energy EFT and Chiral Lagrangian

    hep-ph 2025-01 conditional novelty 6.0 of 10

    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.

  3. Shift symmetries, soft limits, and the double copy beyond leading order

    hep-th 2019-08 conditional novelty 6.0 of 10

    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.

  4. Machine learning unveils the quark mass dependence of the pseudoscalar meson decay constants in three-flavour N$^2$LO ChPT

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    LASSO regression on LQCD data determines quark-mass dependence of f_π, f_K, f_η in N²LO three-flavor ChPT and supplies LECs for SU(3)-limit baryon mass predictions.

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