Two-Loop Electroweak Logarithms

Abstract

We present the complete analytical result for the two-loop logarithmically enhanced contributions to the high energy asymptotic behavior of the vector form factor and the four-fermion cross section in a spontaneously broken SU(2) gauge model. On the basis of this result we derive the dominant two-loop electroweak corrections to the neutral current four-fermion processes at high energies.

Figures (2)

• Figure 1: The LL (short-dashed line), NLL (long-dashed line), NNLL (dot-dashed line) and N$^3$LL (solid line) two-loop electroweak corrections to ${\cal R}_{lq}$ in percent.
• Figure 2: The total electroweak logarithmic two-loop corrections to ${\cal R}_{lQ}$ (dashed line), ${\cal R}_{lq}$ (dot-dashed line) and ${\cal R}_{ll'}$ (solid line) in percent.