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

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A bstractA 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… Click to show full abstract

A bstractA 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.

Keywords: flavour chiral; decay constant; two flavour; mass; pion mass; mass decay

Journal Title: Journal of High Energy Physics
Year Published: 2017

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