First results for three-loop deep-inelastic structure functions in QCD

被引:14
作者
Vermaseren, JAM [1 ]
Moch, S [1 ]
Vogt, A [1 ]
机构
[1] DESY, Deutsch Elektronensynchrotron, D-15738 Zeuthen, Germany
关键词
D O I
10.1016/S0920-5632(03)80151-2
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
As a first step towards the complete calculation of deep-inelastic scattering at third order of massless perturbative QCD, we have computed the fermionic (n(f)) contributions to the flavour non-singlet structure functions in unpolarized electromagnetic scattering. We briefly discuss the approach chosen for this calculation, the problems we encountered and the status of the project. We show the results for the corresponding anomalous dimension in both Mellin-N and Bjorken-x. Together with the n(f) part of A(3), our calculation facilitates the complete determination of the threshold-resummation coefficients B-2 and D-2(DIS). The latter quality vanishes in the (MS) over bar scheme.
引用
收藏
页码:100 / 104
页数:5
相关论文
共 35 条
[1]  
BERGER CF, HEPPH0209107
[2]  
Blumlein J., 1999, Phys. Rev. D, V60, DOI DOI 10.1103/PHYSREVD.60.014018
[3]  
BORWEIN JM, MATHCA99100145
[4]   COMMENT ON QCD EXPONENTIATION AT LARGE-X [J].
CATANI, S ;
TRENTADUE, L .
NUCLEAR PHYSICS B, 1991, 353 (01) :183-186
[5]   RESUMMATION OF THE QCD PERTURBATIVE SERIES FOR HARD PROCESSES [J].
CATANI, S ;
TRENTADUE, L .
NUCLEAR PHYSICS B, 1989, 327 (02) :323-352
[6]   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
[7]   HIGHER-ORDER EFFECTS IN ASYMPTOTICALLY FREE GAUGE THEORIES - ANOMALOUS DIMENSIONS OF WILSON OPERATORS [J].
FLORATOS, EG ;
ROSS, DA ;
SACHRAJDA, CT .
NUCLEAR PHYSICS B, 1977, 129 (01) :66-88
[8]  
Goncharov AB, 1998, MATH RES LETT, V5, P497
[9]   2ND-ORDER CONTRIBUTIONS TO THE STRUCTURE FUNCTIONS IN DEEP INELASTIC-SCATTERING .1. THEORETICAL CALCULATIONS [J].
GONZALEZARROYO, A ;
LOPEZ, C ;
YNDURAIN, FJ .
NUCLEAR PHYSICS B, 1979, 153 (1-2) :161-186
[10]   2ND-ORDER CONTRIBUTIONS TO THE STRUCTURE FUNCTIONS IN DEEP INELASTIC-SCATTERING .3. THE SINGLET CASE [J].
GONZALEZARROYO, A ;
LOPEZ, C .
NUCLEAR PHYSICS B, 1980, 166 (03) :429-459