Next-to-Next-to-Leading Electroweak Logarithms for W-Pair Production at LHC

TL;DR

This paper derives high-energy asymptotic corrections up to two loops for W-pair production at the LHC, revealing significant one-loop negative effects partially offset by two-loop positive contributions, enhancing theoretical precision.

Contribution

It provides the first detailed derivation of next-to-next-to-leading electroweak logarithmic corrections for W-pair production at high energies.

Findings

One-loop corrections can exceed 40% in magnitude.

Two-loop corrections contribute up to 10%, partially compensating one-loop effects.

Results improve the accuracy of theoretical predictions for W-pair production.

Abstract

We derive the high energy asymptotic of one- and two-loop corrections in the next-to-next-to-leading logarithmic approximation to the differential cross section of $W$-pair production at the LHC. For large invariant mass of the W-pair the (negative) one-loop terms can reach more than 40%, which are partially compensated by the (positive) two-loop terms of up to 10%.