Universal structure of subleading infrared poles in gauge theory amplitudes

被引:158
作者
Dixon, Lance J. [1 ]
Magnea, Lorenzo [2 ,3 ]
Sterman, George [4 ]
机构
[1] Stanford Univ, Stanford Linear Accelerator Ctr, Stanford, CA 94309 USA
[2] Univ Turin, Dipartimento Fis Teor, I-10125 Turin, Italy
[3] Ist Nazl Fis Nucl, Sez Torino, I-10125 Turin, Italy
[4] SUNY Stony Brook, CN Yang Inst Theoret Phys, Stony Brook, NY 11794 USA
基金
美国国家科学基金会;
关键词
QCD; supersymmetric gauge theory; renormalization group;
D O I
10.1088/1126-6708/2008/08/022
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 study the origin subleading soft and collinear poles of form factors and amplitudes in dimensionally-regulated massless gauge theories. In the case of form factors of fundamental fields, these poles originate from a single function of the coupling, denoted G(alpha(s)), depending on both the spin and gauge quantum numbers of the field. We relate G(alpha(s)) to gauge-theory matrix elements involving the gluon field strength. We then show that G(alpha(s)) is the sum of three terms: a universal eikonal anomalous dimension, a universal non-eikonal contribution, given by the coefficient B-delta(alpha(s)) of delta (1-z) in the collinear evolution kernel, and a process-dependent short-distance coefficient function, which does not contribute to infrared poles. Using general results on the factorization of soft and collinear singularities in fixed-angle massless gauge theory amplitudes, we conclude that all such singularities are captured by the eikonal approximation, supplemented only by the knowledge of B-delta(alpha(s)). We explore the consequences of our results for conformal gauge theories, where in particular we find a simple exact relation between the form factor and the cusp anomalous dimension.
引用
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页数:30
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