Constant terms in threshold resummation and the quark form factor

Details Constant terms in threshold resummation and the quark form factor Constant terms in threshold resummation and the quark form factor

2007-06-08

arxiv.org/abs/0706.1206v3

JHEP 0709:002,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

39 pages, no figure; version 2: same content, but improved presentation, with a new section devoted to the variety of resummat

Scientific paper

10.1088/1126-6708/2007/09/002

We verify to order alpha_s^4 two previously conjectured relations, valid in four dimensions, between constant terms in threshold resummation (for Deep Inelastic Scattering and the Drell-Yan process) and the second logarithmic derivative of the massless quark form factor. The same relations are checked to all orders in the large beta_0 limit; as a byproduct a dispersive representation of the form factor is obtained. These relations allow to compute in a symmetrical way the three-loop resummation coefficients B_3 and D_3 in terms of the three-loop contributions to the virtual diagonal splitting function and to the quark form factor, confirming results obtained in the literature.

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