Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-09-10
Phys.Rev. D66 (2002) 116002
Physics
High Energy Physics
High Energy Physics - Phenomenology
42 pages, 15 figures, 2 tables; references slightly revised
Scientific paper
10.1103/PhysRevD.66.116002
We develop a simplified method for obtaining higher orders in the perturbative expansion of the singular term A(\alpha_s)/[1-x]_+ of non-singlet partonic splitting functions. Our method is based on the calculation of eikonal diagrams. The key point is the observation that the corresponding cross sections exponentiate in the case of two eikonal lines, and that the exponent is directly related to the functions A(\alpha_s) due to the factorization properties of parton distribution functions. As examples, we rederive the one- and two-loop coefficients A^(1) and A^(2). We go on to derive the known general formula for the contribution to A^(n) proportional to N_f^{n-1}, where N_f denotes the number of flavors. Finally, we determine the previously uncalculated term proportional to N_f of the three-loop coefficient A^(3) to illustrate the method. Our answer agrees with the existing numerical estimate. The exact knowledge of the coefficients A^(n) is important for the resummations of large logarithmic corrections due to soft radiation. Although only the singular part of the splitting functions is calculable within our method, higher-order computations are much less complex than within conventional methods, and even the calculation of A^(4) may be possible.
No associations
LandOfFree
Higher Orders in A(α_s)/[1-x]_+ of Non-Singlet Partonic Splitting Functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Higher Orders in A(α_s)/[1-x]_+ of Non-Singlet Partonic Splitting Functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Higher Orders in A(α_s)/[1-x]_+ of Non-Singlet Partonic Splitting Functions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-368832