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arXiv 1908.03071hep-ph
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对四个环路及以上的包含性DIS进行软校正

Soft corrections to inclusive DIS at four loops and beyond

Goutam Das, Sven-Olaf Moch, Andreas Vogt

摘要:

研究了无质量微扰QCD中软胶子指数化的第五对数(N $^4$ LL)阶深度非弹性散射(DIS)中结构函数的阈值修正.利用最近的分裂函数和夸克形状因子的结果,我们推导出四阶贡献的形状因子的系数$f^{\rm q}$,并从它的N $^4$ LL部分的指数系数$B^{\rm DIS}$在大量的颜色的限制。一个近似方案,导致足够准确的N $^4$ LL结果为全QCD。N $^4$ LL修正很小,并导致软胶子指数的微扰展开的进一步稳定。

英文摘要:

We study the threshold corrections to the structure functions in deep-inelastic scattering (DIS) at the fifth logarithmic (N$^4$LL) order of the soft-gluon exponentiation in massless perturbative QCD. Using recent results for the splitting functions and the quark form factor, we derive the fourth-order contribution to the coefficient $f^{\rm q}$ of the form factor and from it the N$^4$LL part of the exponentiation coefficient $B^{\rm DIS}$ in the limit of a large number of colours. An approximation scheme is shown that leads to sufficiently accurate N$^4$LL results for full QCD. The N$^4$LL corrections are small and lead to a further stabilization of the perturbative expansion for the soft-gluon exponent.

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