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

被引：9
|
作者：
Bijnens, Johan [1 ]
Truedsson, Nils Hermansson [1 ]
机构：
[1] Lund Univ, Dept Astron & Theoret Phys, Solvegatan 14A, SE-22362 Lund, Sweden
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2017年 / 11期
基金：
瑞典研究理事会; 欧洲研究理事会;
关键词：
Chiral Lagrangians; Effective Field Theories; RENORMALIZATION; SCATTERING;
D O I：
10.1007/JHEP11(2017)181
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
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 parameterizations 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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页数：17
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