Improving the Drell–Yan probe of small x partons at the LHC via a k t cut
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We show that the observation of the Drell–Yan production of low-mass lepton-pairs (M≲20 GeV) at high rapidities (Y≳3) at the LHC can make a direct measurement of parton distribution functions (PDFs) in the low x region, x≲10−4. We describe a procedure that greatly reduces the sensitivity of the predictions to the choice of the factorization scale and, in particular, show how, by imposing a cutoff on the transverse momentum of the lepton-pair, the data are able to probe PDFs in the important low scale, low x domain. We include the effects of the Sudakov suppression factor.
KeywordsTransverse Momentum Optimal Scale Incoming Gluon Hard Matrix Element Error Corridor
E.G.dO. and M.G.R. thank the IPPP at the University of Durham for hospitality. This work was supported by the grant RFBR 11-02-00120-a and by the Federal Program of the Russian State RSGSS-4801.2012.2; and by FAPESP (Brazil) under contract 2012/05469-4.