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.
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Bijnens, J., Truedsson, N.H. The pion mass and decay constant at three loops in two-flavour chiral perturbation theory. J. High Energ. Phys. 2017, 181 (2017). https://doi.org/10.1007/JHEP11(2017)181
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DOI: https://doi.org/10.1007/JHEP11(2017)181