Massless correlators of vector, scalar and tensor currents in position space at orders αS3 and αS4: Explicit analytical results

被引：34

作者：

Chetyrkin, K. G. ^{[1
,2
]}

Maier, A. ^{[1
]}

机构：

[1] KIT, Inst Theoret Teilchenphys, D-76128 Karlsruhe, Germany

[2] Russian Acad Sci, Inst Nucl Res, Moscow 117312, Russia

来源：

NUCLEAR PHYSICS B | 2011年 / 844卷 / 02期

关键词：

Quantum chromodynamics; Perturbative calculations; Lattice QCD calculations; NONPERTURBATIVE RENORMALIZATION; ANOMALOUS DIMENSION; BETA-FUNCTION; QUARK MASS; QCD; PROPAGATORS;

D O I：

10.1016/j.nuclphysb.2010.11.007

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 present analytical results both in momentum and position space for the massless correlators of the vector and scalar currents to order alpha(4)(S) as well as for the tensor currents to order alpha(4)(S). The evolution equations for the correlators together with all relevant anomalous dimensions are discussed in detail. As an application we present explicit conversion formulas relating the (MS) over bar -renormalized vector, scalar and tensor currents to their counterparts renormalized in the X-space renormalization scheme more appropriate for lattice calculations. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：266 / 288

页数：23

共 49 条

[1] Order αs4 QCD corrections to Z and τ decays [J].

Baikov, P. A. ;

Chetyrkin, K. G. ;

Kuehn, J. H. .

PHYSICAL REVIEW LETTERS, 2008, 101 (01)

[2] New four loop results in QCD [J].

Baikov, P. A. ;

Chetyrkin, K. G. .

NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2006, 160 :76-79

[3] Four loop massless propagators: An algebraic evaluation of all master integrals [J].

Baikov, P. A. ;

Chetyrkin, K. G. .

NUCLEAR PHYSICS B, 2010, 837 (03) :186-220

[4]

Baikov P. A., 2007, P SCI RADCOR2007, P022

[5] Scalar correlator at O(αs4), Higgs boson decay into bottom quarks, and bounds on the light-quark masses -: art. no. 012003 [J].

Baikov, PA ;

Chetyrkin, KG ;

Kühn, JH .

PHYSICAL REVIEW LETTERS, 2006, 96 (01)

[6] Explicit solutions of the 3-loop vacuum integral recurrence relations [J].

Baikov, PA .

PHYSICS LETTERS B, 1996, 385 (1-4) :404-410

[7] Explicit solutions of the multi-loop integral recurrence relations and its application [J].

Baikov, PA .

NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 1997, 389 (1-2) :347-349

[8] A practical criterion of irreducibility of multi-loop Feynman integrals [J].

Baikov, PA .

PHYSICS LETTERS B, 2006, 634 (2-3) :325-329

[9]

BAIKOV PA, 1996, HEPPH9604254

[10]

BAIKOV PA, 2009, ARXIV09062987

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