Mass gap effects and higher order electroweak Sudakov logarithms

Abstract

The infrared structure of spontaneously broken gauge theories is phenomenologically very important and theoretically a challenging problem. Various attempts have been made to calculate the higher order behavior of large double-logarithmic (DL) corrections originating from the exchange of electroweak gauge bosons resulting in contradictory claims. We present results from two loop electroweak corrections for the process $g⟶f_{\mathrm{R}}{\bar{f}}_{\mathrm{L}}$ to DL accuracy. This process is ideally suited as a theoretical model reaction to study the effect of the mass gap of the neutral electroweak gauge bosons at the two loop level. Contrary to recent claims in the literature, we find that the calculation performed with the physical Standard Model fields is in perfect agreement with the results from the infrared evolution equation method. In particular, we can confirm the exponentiation of the electroweak Sudakov logarithms through two loops.

10 pages, 3 figures, LaTeX2e, uses epsfig

References in corpus (3)

• Resummation of double logarithms in electroweak high energy processes
• Bloch-Nordsieck violating electroweak corrections to inclusive TeV scale hard processes
• Electroweak Sudakov form factors and nonfactorizable soft QED effects at NLC energies

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