On the factorization of chiral logarithms in the pion form factors

被引：6

作者：

Colangelo, G. ^{[1
]}

Procura, M. ^{[1
]}

Rothen, L. ^{[1
]}

Stucki, R. ^{[1
]}

Tarrus Castella, J. ^{[2
,3
]}

机构：

[1] Univ Bern, Inst Theoret Phys, Albert Einstein Ctr Fundamental Phys, CH-3012 Bern, Switzerland

[2] Univ Barcelona, Dept Estruct & Constituents Mat, E-08028 Barcelona, Spain

[3] Univ Barcelona, Inst Ciencies Cosmos, E-08028 Barcelona, Spain

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2012年 / 09期

基金：

瑞士国家科学基金会;

关键词：

Chiral Lagrangians; QCD; PERTURBATION-THEORY; ASYMPTOTIC-BEHAVIOR; EXCLUSIVE PROCESSES; ONE LOOP; QCD; EQUATION;

D O I：

10.1007/JHEP09(2012)081

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：

The recently proposed hard-pion chiral perturbation theory predicts that the leading chiral logarithms factorize with respect to the energy dependence in the chiral limit. This claim has been successfully tested in the pion form factors up to two loops in chiral perturbation theory. In the present paper we explain this factorization property at two loops and even show that it is valid to all orders for a subclass of diagrams. We also demonstrate that factorization is violated starting at three loops.

引用

页数：20

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