Symmetries of the three-heavy-quark system and the color-singlet static energy at next-to-next-to-leading logarithmic order

被引：18

作者：

Brambilla, Nora ^{[1
]}

Karbstein, Felix ^{[2
,3
]}

Vairo, Antonio ^{[1
]}

机构：

[1] Tech Univ Munich, Dept Phys, D-85748 Garching, Germany

[2] Helmholtz Inst Jena, D-07743 Jena, Germany

[3] Univ Jena, Inst Theoret Phys, D-07743 Jena, Germany

来源：

PHYSICAL REVIEW D | 2013年 / 87卷 / 07期

关键词：

EFFECTIVE-FIELD-THEORY; QCD; NRQCD;

D O I：

10.1103/PhysRevD.87.074014

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study the symmetries of the three-heavy-quark system under exchange of the quark fields within the effective field theory framework of potential nonrelativistic QCD. The symmetries constrain the form of the matching coefficients in the effective theory. We then focus on the color-singlet sector and determine the so far unknown leading ultrasoft contribution to the static potential, which is of order alpha(4)(s) ln mu, and consequently to the static energy, which is of order alpha(4)(s) ln alpha(s). Finally, in the case of an equilateral geometry, we solve the renormalization group equations and resum the leading ultrasoft logarithms for the static potential of three quarks in a color singlet, octet and decuplet representation. DOI: 10.1103/PhysRevD.87.074014

引用

页数：13