The pion mass and decay constant at three loops in two-flavour chiral perturbation theory

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    Abstract

    A calculation of the pion mass and decay constant at NNNLO in two-flavour chiral perturbation theory is presented. The results are cross-checked by using both the exponential and square root parametrizations of the Goldstone matrix field, as well as by comparing to the known leading log coefficients of the two quantities. A small numerical study of the quark mass dependence is performed, and for a physical quark mass there is good agreement with lower order results.

    Original languageEnglish
    Article number181
    JournalJournal of High Energy Physics
    Volume2017
    Issue number11
    DOIs
    Publication statusPublished - 2017 Nov 1

    Subject classification (UKÄ)

    • Subatomic Physics

    Free keywords

    • Chiral Lagrangians
    • Effective Field Theories

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