Evolution of chirality-odd twist-3 fragmentation functions

Evolution of chirality-odd twist-3 fragmentation functions
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手性奇扭曲3碎片函数的演化

DOI:
10.1016/j.physletb.2017.07.025
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发表时间:
2017-01
期刊:
影响因子:
4.4
通讯作者:
Zhang G P
Zhang G P
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Ma J P;Zhang G P

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在单圈水平上,我们导出了手征奇扭3碎裂函数的完整演化公式。一共有9个真实的twist-3碎裂函数,其中7个是独立的。这九个函数的重整化尺度依赖性对单横自旋不对称性的研究具有重要意义。我们发现由夸克-胶子-夸克算符定义的三个复碎裂函数的演化是相互混合的。用双线性夸克场算符定义的碎裂函数没有混合。在大Nc极限下,三个复杂的碎裂函数的演化被简化为六个齐次方程.
We derive the complete set of evolutions of chirality-odd twist-3 fragmentation functions at one-loop level. There are totally nine real twist-3 fragmentation functions, among which seven are independent. The renormalization-scale dependence of the nine functions has an important implication for studies of single transverse-spin asymmetries. We find that the evolutions of the three complex fragmentation functions defined by quark–gluon–quark operator are mixed with themselves. There is no mixing with the fragmentation functions defined only with bilinear quark field operators. In the large-N c limit the evolutions of the three complex fragmentation functions are simplified and reduced to six homogeneous equations.
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