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arXiv · 0802.0168

Electroweak double-logs at small x

M. Ciafaloni·P. Ciafaloni·D. Comelli
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Abstract

We investigate enhanced EW corrections to inclusive hard processes in the TeV energy region with emphasis on the small-x situation, in which the hard scale Q is significantly smaller than the available energy \sqrt{s}= Q/x. We first propose and justify a general factorization formula in which the (double-log) EW form factor at scale Q^2 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 α_w \log x \log Q^2/M^2 (M being the EW symmetry breaking scale) are present only for T=2 and not for T=1. This implies that only transverse WW interactions (coupled to T=2) are affected, while the T=1 components feel just the form factor at scale Q^2.

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M. Ciafaloni, P. Ciafaloni, D. Comelli. 2008-02-01. Electroweak double-logs at small x. https://doi.org/10.1088/1126-6708%2F2008%2F05%2F039

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