Opening the Rome-Southampton window for operator mixing matrices

被引：17

作者：

Arthur, R. ^{[1
]}

Boyle, P. A. ^{[1
]}

Garron, N. ^{[1
]}

Kelly, C. ^{[2
]}

Lytle, A. T. ^{[3
]}

机构：

[1] Univ Edinburgh, Sch Phys, SUPA, Edinburgh EH9 3JZ, Midlothian, Scotland

[2] Columbia Univ, Dept Phys, New York, NY 10027 USA

[3] Univ Southampton, Sch Phys & Astron, Southampton SO17 1BJ, Hants, England

来源：

PHYSICAL REVIEW D | 2012年 / 85卷 / 01期

关键词：

NONPERTURBATIVE RENORMALIZATION; CHIRAL FERMIONS; COMPUTATION;

D O I：

10.1103/PhysRevD.85.014501

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We show that the running of operators which mix under renormalization can be computed fully nonperturbatively as a product of continuum step-scaling matrices. These step-scaling matrices are obtained by taking the "ratio" of Z matrices computed at different energies in an RI-MOM type scheme for which twisted boundary conditions are an essential ingredient. Our method allows us to relax the bounds of the Rome-Southampton window. We also explain why such a method is important in view of the light quark physics program of the RBC-UKQCD Collaborations. To illustrate our method, using n(f) = 2 + 1 domain-wall fermions, we compute the nonperturbative running matrix of four-quark operators needed in K -> pi pi decay and neutral kaon mixing. Our results are then compared to perturbation theory.

引用

页数：9

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