Three loop anomalous dimensions of higher moments of the non-singlet twist-2 Wilson and transversity operators in the (MS)over-bar and RI′ schemes

被引:14
作者
Gracey, John A. [1 ]
机构
[1] Univ Liverpool, Dept Math Sci, Liverpool L69 3BX, Merseyside, England
关键词
NLO computations; renormalization group; deep inelastic scattering;
D O I
10.1088/1126-6708/2006/10/040
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 anomalous dimension of the third and fourth moments of the flavour non-singlet twist-2 Wilson and transversity operators at three loops in both the MS and RI' schemes. To assist with the extraction of estimates of matrix elements computed using lattice regularization, the finite parts of the Green's function where the operator is inserted in a quark 2-point function are also provided at three loops in both schemes.
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页数:30
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共 50 条
[1]   TRANSVERSELY POLARIZED PARTON DENSITIES, THEIR EVOLUTION AND THEIR MEASUREMENT [J].
ARTRU, X ;
MEKHFI, M .
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1990, 45 (04) :669-676
[2]   A SURVEY OF POLARIZATION ASYMMETRIES PREDICTED BY QCD [J].
BALDRACCHINI, F ;
CRAIGIE, NS ;
ROBERTO, V ;
SOCOLOVSKY, M .
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 1981, 29 (11-1) :505-550
[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]  
Becirevic D, 2004, J HIGH ENERGY PHYS
[5]   The 16th moment of the non-singlet structure functions F2(x,Q2) and FL(x,Q2) to O(αs3) [J].
Blümlein, J ;
Vermaseren, JAM .
PHYSICS LETTERS B, 2005, 606 (1-2) :130-138
[6]  
Blümlein J, 2001, EUR PHYS J C, V20, P683, DOI 10.1007/s100520100703
[7]   Renormalisation and off-shell improvement in lattice perturbation theory [J].
Capitani, S ;
Göckeler, M ;
Horsley, R ;
Perlt, H ;
Rakow, PEL ;
Schierholz, G ;
Schiller, A .
NUCLEAR PHYSICS B, 2001, 593 (1-2) :183-228
[8]   GAUGE DEPENDENCE OF RENORMALIZATION GROUP PARAMETERS [J].
CASWELL, WE ;
WILCZEK, F .
PHYSICS LETTERS B, 1974, B 49 (03) :291-292
[9]   Renormalization and running of quark mass and field in the regularization invariant and (MS)over-bar schemes at three and four loops [J].
Chetyrkin, KG ;
Rétey, A .
NUCLEAR PHYSICS B, 2000, 583 (1-2) :3-34
[10]  
Collins J., 1984, RENORMALIZATION, P34, DOI 10.1017/CBO9780511622656