Blumlein, Johannes ; Ravindran, Vajravelu (2006) O(αs2) timelike Wilson coefficients for Parton-fragmentation functions in Mellin space Nuclear Physics B, 749 (1-3). pp. 1-24. ISSN 0550-3213
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.nuclphysb.2006.04.032
Abstract
We calculate the Mellin moments of the O(αs2) coefficient functions for the unpolarized and polarized fragmentation functions. They can be expressed in terms of multiple finite harmonic sums of maximal weight w=4. Using algebraic and structural relations between harmonic sums one finds that besides the single harmonic sums only three basic sums and their derivatives w.r.t. the summation index contribute. The Mellin moments are analytically continued to complex values of the Mellin variable. This representation significantly reduces the large complexity being present in x-space calculations and allows very compact and fast numerical implementations.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 85057 |
| Deposited On: | 29 Feb 2012 07:15 |
| Last Modified: | 29 Feb 2012 07:15 |
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