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Electroweak double-logs at small x

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Published 12 May 2008 Published under licence by IOP Publishing Ltd
, , Citation Marcello Ciafaloni et al JHEP05(2008)039 DOI 10.1088/1126-6708/2008/05/039

1126-6708/2008/05/039

Abstract

We investigate enhanced EW corrections to inclusive hard processes in the TeV energy region with emphasis on the small-xsituation, in which the hard scale Q is significantly smaller than the available energy (s)1/2Q/x. We first propose and justify a general factorization formula in which the (double-log) EW form factor at scale Q2 is factorized from EW parton distribution functions, which satisfy evolution equations of DGLAP type. We then investigate the small-x behavior of the EW parton distributions including the novel ones for non-vanishing t-channel weak isospin T and we compare it with a BFKL-type approach. In either approach we find that large small-x corrections of order αw log x log Q2/M2 (M being the EW symmetry breaking scale) are present only for T = 2 and not for T = 1, thus affecting only transverse WW interactions. We finally note that the T = 2 component is turned off in flavour-blind measurements at LHC, which therefore feel just the EW form factor at scale Q2.

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10.1088/1126-6708/2008/05/039