Constant terms in threshold resummation and the quark form factor - High Energy Physics - PhenomenologyReport as inadecuate




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Abstract: We verify to order alpha s^4 two previously conjectured relations, valid infour dimensions, between constant terms in threshold resummation for DeepInelastic Scattering and the Drell-Yan process and the second logarithmicderivative of the massless quark form factor. The same relations are checked toall orders in the large beta 0 limit; as a byproduct a dispersiverepresentation of the form factor is obtained. These relations allow to computein a symmetrical way the three-loop resummation coefficients B 3 and D 3 interms of the three-loop contributions to the virtual diagonal splittingfunction and to the quark form factor, confirming results obtained in theliterature.



Author: S. Friot, G. Grunberg

Source: https://arxiv.org/



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