Evolution kernels of skewed parton distributions:: Method and two-loop results

被引:80
作者
Belitsky, AV [1 ]
Freund, A
Müller, D
机构
[1] SUNY Stony Brook, CN Yang Inst Theoret Phys, Stony Brook, NY 11794 USA
[2] Ist Nazl Fis Nucl, Sez Firenze, I-50125 Florence, Italy
[3] Univ Regensburg, Inst Theoret Phys, D-93040 Regensburg, Germany
关键词
evolution equation; two-loop exclusive kernels; conformal constraints; supersymmetric constraints;
D O I
10.1016/S0550-3213(00)00012-2
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
We present a formalism and explicit results for two-loop flavor singlet evolution kernels of skewed parton distributions in the minimal subtraction scheme. This approach avoids explicit multiloop calculations in QCD and is based on the known pattern of conformal symmetry breaking in this scheme as well as constraints arising from the graded algebra of the N = 1 super Yang-Mills theory. The conformal symmetry breaking part of the kernels is deduced from commutator relations between scale and special conformal anomalies while the symmetric piece is recovered from the next-to-leading order splitting functions and N = 1 supersymmetry relations. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:347 / 406
页数:60
相关论文
共 58 条
[21]   TRACE AND DILATATION ANOMALIES IN GAUGE THEORIES [J].
COLLINS, JC ;
DUNCAN, A ;
JOGLEKAR, SD .
PHYSICAL REVIEW D, 1977, 16 (02) :438-449
[22]   EVOLUTION OF PARTON DENSITIES BEYOND LEADING ORDER - THE NON-SINGLET CASE [J].
CURCI, G ;
FURMANSKI, W ;
PETRONZIO, R .
NUCLEAR PHYSICS B, 1980, 175 (01) :27-92
[23]   THE ALTARELLI-PARISI KERNEL AS ASYMPTOTIC LIMIT OF AN EXTENDED BRODSKY-LEPAGE KERNEL [J].
DITTES, FM ;
MULLER, D ;
ROBASCHIK, D ;
GEYER, B ;
HOREJSI, J .
PHYSICS LETTERS B, 1988, 209 (2-3) :325-329
[24]   2-LOOP CONTRIBUTION TO THE EVOLUTION OF THE PION WAVEFUNCTION [J].
DITTES, FM ;
RADYUSHKIN, AV .
PHYSICS LETTERS B, 1984, 134 (05) :359-362
[25]  
Dokshitzer YL, 1977, SOV PHYS JETP, V46, P641, DOI DOI 10.1016/0550-3213(77)90384-4
[26]  
EFREMOV AV, 1980, THEOR MATH PHYS+, V42, P97, DOI 10.1007/BF01032111
[27]  
EFREMOV AV, 1980, PHYS LETT B, V94, P245, DOI 10.1016/0370-2693(80)90869-2
[28]   HIGHER-ORDER QCD EFFECTS IN INCLUSIVE ANNIHILATION AND DEEP INELASTIC-SCATTERING [J].
FLORATOS, EG ;
KOUNNAS, C ;
LACAZE, R .
NUCLEAR PHYSICS B, 1981, 192 (02) :417-462
[29]   Nondiagonal parton distributions in the leading logarithmic approximation (vol 418, pg 345, 1997) [J].
Frankfurt, LL ;
Freund, A ;
Guzey, V ;
Strikman, M .
PHYSICS LETTERS B, 1998, 429 (3-4) :414-414
[30]   SINGLET PARTON DENSITIES BEYOND LEADING ORDER [J].
FURMANSKI, W ;
PETRONZIO, R .
PHYSICS LETTERS B, 1980, 97 (3-4) :437-442