Drell-Yan production at small qT, transverse parton distributions and the collinear anomaly

被引：333

作者：

Becher, Thomas ^{[1
]}

Neubert, Matthias ^{[2
,3
]}

机构：

[1] Univ Bern, Inst Theoret Phys, CH-3012 Bern, Switzerland

[2] Johannes Gutenberg Univ Mainz, Inst Phys THEP, D-55099 Mainz, Germany

[3] Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany

来源：

EUROPEAN PHYSICAL JOURNAL C | 2011年 / 71卷 / 06期

关键词：

MOMENTUM DISTRIBUTIONS; CROSS-SECTIONS; RESUMMATION; QCD; FACTORIZATION; BOSON; JETS;

D O I：

10.1140/epjc/s10052-011-1665-7

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：

Using methods from effective field theory, an exact all-order expression for the Drell-Yan cross section at small transverse momentum is derived directly in q(T) space, in which all large logarithms are resummed. The anomalous dimensions and matching coefficients necessary for resummation at NNLL order are given explicitly. The precise relation between our result and the Collins-Soper-Sterman formula is discussed, and as a by-product the previously unknown three-loop coefficient A((3)) is obtained. The naive factorization of the cross section at small transverse momentum is broken by a collinear anomaly, which prevents a process-independent definition of x(T)-dependent parton distribution functions. A factorization theorem is derived for the product of two such functions, in which the dependence on the hard momentum transfer is separated out. The remainder factors into a product of two functions of longitudinal momentum variables and x(T)(2), whose renormalization-group evolution is derived and solved in closed form. The matching of these functions at small x(T) onto standard parton distributions is calculated at O(alpha(s)), while their anomalous dimensions are known to three loops.

引用

页数：20

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