Chiral effective theory with a light scalar and lattice QCD

被引：17
作者：
Soto, J. [1 ,2 ]
Talavera, P. [2 ,3 ]
Tarrus, J. [1 ,2 ]
机构：
[1] Univ Barcelona, Dept Estruct & Constituents Mat, E-08028 Barcelona, Catalonia, Spain
[2] Univ Barcelona, Inst Ciencies Cosmos, E-08028 Barcelona, Catalonia, Spain
[3] Univ Politecn Cataluna, Dept Fis & Engn Nucl, E-08036 Barcelona, Spain
来源：
NUCLEAR PHYSICS B | 2013年 / 866卷 / 03期
关键词：
PERTURBATION-THEORY; LAGRANGIANS; TRIVIALITY; POINT; SIGMA; MODEL;
D O I：
10.1016/j.nuclphysb.2012.09.005
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：
We extend the usual chiral perturbation theory framework (chi PT) to allow the inclusion of a light dynamical isosinglet scalar. Using lattice QCD results, and a few phenomenological inputs, we explore the parameter space of the effective theory. We discuss the S-wave pion pion scattering lengths, extract the average value of the two light quark masses and evaluate the impact of the dynamical singlet field in the low-energy constants (I) over bar (1), (I) over bar (3) and (I) over bar (4) of chi PT. We also show how to extract the mass and width of the sigma resonance from chiral extrapolations of lattice QCD data. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：270 / 292
页数：23
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