Quark mass renormalization in the (MS)over-bar and RI schemes up to the NNLO order

被引：68

作者：

Franco, E

Lubicz, V

机构：

[1] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy

[2] Ist Nazl Fis Nucl, Sez Roma, I-00185 Rome, Italy

[3] Univ Roma Tre, Dipartimento Fis, I-00146 Rome, Italy

[4] Ist Nazl Fis Nucl, Sez Roma, I-00146 Rome, Italy

来源：

NUCLEAR PHYSICS B | 1998年 / 531卷 / 1-3期

关键词：

D O I：

10.1016/S0550-3213(98)00438-6

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 compute the relation between the quark mass defined in the minimal modified MS scheme and the mass defined in the "regularization invariant" scheme (RI), up to the NNLO order. The RI scheme is conveniently adopted in lattice QCD calculations of the quark mass, since the relevant renormalization constants in this scheme can be evaluated in a non-perturbative way. The NNLO contribution to the conversion factor between the quark mass in the two schemes is found to be large, typically of the same order of the NLO correction at a scale mu similar to 2 GeV. We also give the NNLO relation between the quark mass in the RI scheme and the renormalization group-invariant mass. (C) 1998 Elsevier Science B.V.

引用

收藏

页码：641 / 651

页数：11

相关论文

共 22 条

[1] QUARK MASSES FROM LATTICE QCD AT THE NEXT-TO-LEADING ORDER [J].

ALLTON, CR ;

CIUCHINI, M ;

CRISAFULLI, M ;

FRANCO, E ;

LUBICZ, V ;

MARTINELLI, G .

NUCLEAR PHYSICS B, 1994, 431 (03) :667-685

[2] COMPUTATION OF THE RELATION BETWEEN THE QUARK MASSES IN LATTICE GAUGE-THEORIES AND ON THE CONTINUUM [J].

ARROYO, AG ;

YNDURAIN, FJ ;

MARTINELLI, G .

PHYSICS LETTERS B, 1982, 117 (06) :437-440

[3] DEEP-INELASTIC SCATTERING BEYOND THE LEADING ORDER IN ASYMPTOTICALLY FREE GAUGE THEORIES [J].

BARDEEN, WA ;

BURAS, AJ ;

DUKE, DW ;

MUTA, T .

PHYSICAL REVIEW D, 1978, 18 (11) :3998-4017

[4] Particles and field .1. Review of particle physics [J].

Barnett, RM ;

Carone, CD ;

Groom, DE ;

Trippe, TG ;

Wohl, CG ;

Armstrong, B ;

Gee, PS ;

Wagman, GS ;

James, F ;

Mangano, M ;

Monig, K ;

Montanet, L ;

Feng, JL ;

Murayama, H ;

Hernandez, JJ ;

Manohar, A ;

AguilarBenitez, M ;

Caso, C ;

Crawford, RL ;

Roos, M ;

Tornqvist, NA ;

Hayes, KG ;

Hagiwara, K ;

Nakamura, K ;

Tanabashi, M ;

Olive, K ;

Honscheid, K ;

Burchat, PR ;

Shrock, RE ;

Eidelman, S ;

Schindler, RH ;

Gurtu, A ;

Hikasa, K ;

Conforto, G ;

Workman, RL ;

Grab, C ;

Amsler, C .

PHYSICAL REVIEW D, 1996, 54 (01) :1-+

[5] HEAVY-QUARK EFFECTIVE THEORY BEYOND PERTURBATION-THEORY - RENORMALONS, THE POLE MASS AND THE RESIDUAL MASS TERM [J].

BENEKE, M ;

BRAUN, VM .

NUCLEAR PHYSICS B, 1994, 426 (02) :301-343

[6] POLE MASS OF THE HEAVY-QUARK - PERTURBATION-THEORY AND BEYOND [J].

BIGI, II ;

SHIFMAN, MA ;

URALTSEV, NG ;

VAINSHTEIN, AI .

PHYSICAL REVIEW D, 1994, 50 (03) :2234-2246

[7] NEW IMPROVED OPERATORS - A CONVENIENT REDEFINITION [J].

BORRELLI, A ;

PITTORI, C ;

FREZZOTTI, R ;

GABRIELLI, E .

NUCLEAR PHYSICS B, 1993, 409 (02) :382-396

[8] INTEGRATION BY PARTS - THE ALGORITHM TO CALCULATE BETA-FUNCTIONS IN 4-LOOPS [J].

CHETYRKIN, KG ;

TKACHOV, FV .

NUCLEAR PHYSICS B, 1981, 192 (01) :159-204

[9] Quark mass anomalous dimension to O(alpha(4)(s)) [J].

Chetyrkin, KG .

PHYSICS LETTERS B, 1997, 404 (1-2) :161-165

[10] INSTANTON EFFECTS IN THE LIGHT-QUARK MASSES DETERMINATION FROM QCD SUM-RULES [J].

GABRIELLI, E ;

NASON, P .

PHYSICS LETTERS B, 1993, 313 (3-4) :430-432