Two-Loop Electroweak Logarithms in Four-Fermion Processes at High Energy

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. Previously neglected effects of the gauge boson mass difference are included through the next-to-next-to-leading logarithmic approximation.

Comments: 29 pages, 6 figures. Bernd Jantzen was Bernd Feucht in previous publications. v2: references added, version in Nucl. Phys. B. v3: soft anomalous dimension matrix and dependent results corrected. v4: missing 2-loop NNLL mass-splitting terms in Eq. (62) completed and a few numerical results in Eqs. (63), (66), (70) corrected