OPERATOR PRODUCT EXPANSION IN STATIC-QUARK EFFECTIVE FIELD-THEORY - LARGE PERTURBATIVE CORRECTION

被引:102
作者
BROADHURST, DJ [1 ]
GROZIN, AG [1 ]
机构
[1] NOVOSIBIRSK NUCL PHYS INST,NOVOSIBIRSK 630090,USSR
关键词
D O I
10.1016/0370-2693(92)92009-6
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We calculate the coefficients of operators with dimensions d less-than-or-equal-to 7 in the operator product expansion of correlators of q-GAMMA-QBAR currents, for the effective field theory of an infinite-mass quark, Q. Exact two-loop results are obtained, with an arbitrary gauge group and spacetime dimension, for the perturbative (d = 0) and quark-condensate (d = 3) contributions, confirming our previous result for the anomalous dimension of the current. Leading-order results are given for light-quark operators with d = 5, 6, 7 and gluon operators with d = 4,6. The existence of a perturbative correction of order 100% precludes a reliable determination of f(B) from non-relativistic sum rules.
引用
收藏
页码:421 / 427
页数:7
相关论文
共 49 条
[1]  
ALIEV TM, 1983, SOV J NUCL PHYS+, V38, P936
[2]   A LATTICE COMPUTATION OF THE DECAY CONSTANT OF THE BETA-MESON [J].
ALLTON, CR ;
SACHRAJDA, CT ;
LUBICZ, V ;
MAIANI, L ;
MARTINELLI, G .
NUCLEAR PHYSICS B, 1991, 349 (02) :598-616
[3]   GAUGE-INVARIANT ON-SHELL Z2 IN QED, QCD AND THE EFFECTIVE FIELD-THEORY OF A STATIC QUARK [J].
BROADHURST, DJ ;
GRAY, N ;
SCHILCHER, K .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1991, 52 (01) :111-122
[4]   2-LOOP RENORMALIZATION OF THE EFFECTIVE FIELD-THEORY OF A STATIC QUARK [J].
BROADHURST, DJ ;
GROZIN, AG .
PHYSICS LETTERS B, 1991, 267 (01) :105-110
[5]   CHIRAL SYMMETRY-BREAKING AND PERTURBATIVE QCD [J].
BROADHURST, DJ .
PHYSICS LETTERS B, 1981, 101 (06) :423-426
[6]  
BROADHURST DJ, 1982, OUT41028R OP U REP
[7]   B-MESON EXCLUSIVE DECAYS INTO BARYONS [J].
CHERNYAK, VL ;
ZHITNITSKY, IR .
NUCLEAR PHYSICS B, 1990, 345 (01) :137-172
[8]   WILSON EXPANSION FOR CORRELATORS OF VECTOR CURRENTS AT THE 2-LOOP LEVEL - DIMENSION-4 OPERATORS [J].
CHETYRKIN, KG ;
GORISHNY, SG ;
SPIRIDONOV, VP .
PHYSICS LETTERS B, 1985, 160 (1-3) :149-153
[9]   LEPTONIC DECAY CONSTANTS OF CHARM AND BEAUTY MESONS IN QCD [J].
DOMINGUEZ, CA ;
PAVER, N .
PHYSICS LETTERS B, 1987, 197 (03) :423-429
[10]   LEPTONIC DECAY CONSTANTS OF HEAVY FLAVOR MESONS OF ARBITRARY MASS [J].
DOMINGUEZ, CA ;
PAVER, N .
PHYSICS LETTERS B, 1990, 246 (3-4) :493-497