Timelike single-logarithm-resummed splitting functions

Timelike single-logarithm-resummed splitting functions
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DOI:
10.1016/j.nuclphysb.2011.10.030
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发表时间:
2012-02-21
期刊:
影响因子:
2.8
通讯作者:
Kotikov, A. V.
Kotikov, A. V.
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Albino, S.;Bolzoni, P.;Kotikov, A. V.

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We calculate the single logarithmic contributions to the quark singlet and gluon matrix of timelike splitting functions at all orders in the modified minimal-subtraction ((MS) over bar) scheme. We fix two of the degrees of freedom of this matrix from the analogous results in the massive-gluon regularization scheme by using the relation between that scheme and the (MS) over bar scheme. We determine this scheme transformation from the double logarithmic contributions to the timelike splitting functions and the coefficient functions of inclusive particle production in e(+)e(-) annihilation now available in both schemes. This approach fixes two of the four degrees of freedom, and a third degree of freedom is fixed by reasonable physical assumptions. The results agree with the fixed-order results at next-to-next-to-leading order in the literature. (C) 2011 Elsevier B.V. All rights reserved.