B0-(B)over-bar0 mixing: Matching to HQET at NNLO

被引：12

作者：

Grozin, Andrey G. ^{[1
,2
,3
,4
]}

Mannel, Thomas ^{[2
]}

Pivovarov, Alexei A. ^{[2
]}

机构：

[1] Johannes Gutenberg Univ Mainz, PRISMA Cluster Excellence, Staudingerweg 9, D-55128 Mainz, Germany

[2] Univ Siegen, Nat Wissenschaftlich Tech Fak, Theoret Elementarteilchenphys, Walter Flex Str 3, D-57068 Siegen, Germany

[3] RAS, Budker Inst Nucl Phys SB, Lavrentyev St 11, Novosibirsk 630090, Russia

[4] Novosibirsk State Univ, Pirogova St 2, Novosibirsk 630090, Russia

来源：

PHYSICAL REVIEW D | 2018年 / 98卷 / 05期

关键词：

EFFECTIVE FIELD-THEORY; HEAVY-LIGHT CURRENTS; ANOMALOUS DIMENSIONS; WEAK DECAYS; 4-FERMION OPERATORS; QCD CORRECTIONS; MATRIX-ELEMENT; QUARK MASS; RENORMALIZATION; PARAMETER;

D O I：

10.1103/PhysRevD.98.054020

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We compute perturbative matching coefficients to the heavy quark effective theory (HQET) representation for the QCD effective local Delta B = 2 Hamiltonian that determines the mass difference in the B-0-(B) over bar (0) system of states. We report on the results at next-to-next-to-leading order in the strong coupling constant for matching coefficients of two physical operators in HQET. Our results provide firm confirmation that the recent next-to-leading order sum rules analysis of the bag parameter B-q is stable with regard of inclusion of higher order radiative corrections. As a byproduct of our calculation we give a fully analytical solution for the one-loop QCD-to-HQET matching problem: we present the explicit formulas for the renormalization of four-quark operators of the full bases in both QCD and HQET and the expressions for matching coefficients in a closed form.

引用

页数：14

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