A general all-order expression for threshold resummation of rapidity distributions at fixed partonic rapidity is derived for colorless final states, with NNLL coefficients determined from NNLO Drell-Yan results and shown to match a translated SCET result.
Threshold resummation of Drell-Yan rapidity distributions
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abstract
We present a derivation of the threshold resummation formula for the Drell-Yan rapidity distribution. Our argument is valid for all values of rapidity and to all orders in perturbative QCD and can be applied to all Drell-Yan processes in a universal way, i.e. both for the production of a virtual photon \gamma^{*} and the production of a vector boson W^{\pm}, Z^{0}. We show that for the fixed-target experiment E866/NuSea used in current parton fits, the NLL resummation corrections are comparable to NLO fixed-order corrections and are crucial to obtain agreement with the data.
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Threshold resummation of rapidity distributions at fixed partonic rapidity
A general all-order expression for threshold resummation of rapidity distributions at fixed partonic rapidity is derived for colorless final states, with NNLL coefficients determined from NNLO Drell-Yan results and shown to match a translated SCET result.