ONE-LOOP HELICITY AMPLITUDES FOR ALL 2-]2 PROCESSES IN QCD AND N=1 SUPERSYMMETRIC YANG-MILLS THEORY

被引:176
作者
KUNSZT, Z
SIGNER, A
TROCSANYI, Z
机构
[1] Theoretical Physics, ETH, Zürich
关键词
D O I
10.1016/0550-3213(94)90456-1
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
One-loop corrections to the helicity amplitudes of all 2 --> 2 subprocesses are calculated in QCD and in N = 1 supersymmetric Yang-Mills theory using two versions of dimensional regularization: the 't Hooft-Veltman scheme and dimensional reduction. Studying the structure of the soft and collinear singularities, we found universal transition rules for the squared matrix element which can be used to translate the results obtained in these schemes to the results valid in the conventional dimensional regularization scheme. With explicit calculation it is demonstrated that the one-loop helicity amplitudes of the 2 --> 2 subprocesses calculated using dimensional reduction in the N = 1 supersymmetric SU(N) gauge theory respect the supersymmetry Ward identities. Our transition rules can also be used to calculate the next-to-leading order Altarelli-Parisi kernels in the dimensional reduction scheme when they satisfy supersymmetry Ward identities as well.
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收藏
页码:397 / 442
页数:46
相关论文
共 33 条
[1]   THE BACKGROUND FIELD METHOD BEYOND ONE LOOP [J].
ABBOTT, LF .
NUCLEAR PHYSICS B, 1981, 185 (01) :189-203
[2]   QCD NON-LEADING CORRECTIONS TO WEAK DECAYS AS AN APPLICATION OF REGULARIZATION BY DIMENSIONAL REDUCTION [J].
ALTARELLI, G ;
CURCI, G ;
MARTINELLI, G ;
PETRARCA, S .
NUCLEAR PHYSICS B, 1981, 187 (03) :461-513
[3]   A STUDY OF A POSSIBLE QUARK-GLUON SYMMETRY IN QCD [J].
ANTONIADIS, I ;
FLORATOS, EG .
NUCLEAR PHYSICS B, 1981, 191 (01) :217-226
[4]   DIMENSIONAL REGULARIZATION AND SUPERSYMMETRY [J].
AVDEEV, LV ;
VLADIMIROV, AA .
NUCLEAR PHYSICS B, 1983, 219 (01) :262-276
[5]   THE 6-GLUON PROCESS AS AN EXAMPLE OF WEYL-VANDERWAERDEN SPINOR CALCULUS [J].
BERENDS, FA ;
GIELE, W .
NUCLEAR PHYSICS B, 1987, 294 (03) :700-732
[6]   A MAPPING BETWEEN FEYNMAN AND STRING MOTIVATED ONE-LOOP RULES IN GAUGE-THEORIES [J].
BERN, Z ;
DUNBAR, DC .
NUCLEAR PHYSICS B, 1992, 379 (03) :562-601
[7]   THE COMPUTATION OF LOOP AMPLITUDES IN GAUGE-THEORIES [J].
BERN, Z ;
KOSOWER, DA .
NUCLEAR PHYSICS B, 1992, 379 (03) :451-561
[8]  
BERN Z, CERNTH675692 PREPR
[9]  
BERN Z, CERNTH680393 PREPR
[10]   REGULARIZATION BY DIMENSIONAL REDUCTION OF SUPERSYMMETRIC AND NON-SUPERSYMMETRIC GAUGE-THEORIES [J].
CAPPER, DM ;
JONES, DRT ;
VANNIEUWENHUIZEN, P .
NUCLEAR PHYSICS B, 1980, 167 (03) :479-499