Erratum to “Complete electroweak O(α) corrections to charged-current e+e

Abstract

The complete electroweak O(α) corrections are calculated for the charged-current four-fermion production processes e + e − → ν τ τ + µ −ν µ , udµ −ν µ , and udsc. The calculation is performed using complex gauge-boson masses, supplemented by complex couplings to restore gauge invariance. The evaluation of the occurring one-loop tensor integrals, which include 5-and 6-point functions, requires new techniques. Explicit numerical results are presented for total cross sections in the energy range from the W-pair-production threshold region up to a scattering energy of 2 TeV. A comparison with the predictions based on the "double-pole approximation" (DPA) provided by the generator RacoonWW reveals corrections beyond DPA of < ∼ 0.5% in the energy range 170−300 GeV, in agreement with previous estimates for the intrinsic DPA uncertainty. The difference to the DPA increases to 1−2% for √ s ∼ 1−2 TeV. At threshold, where the DPA becomes unreliable, the full O(α) calculation corrects an improved Born approximation (IBA) by about 1.6%, also consistent with an error estimate of the IBA.

Status and prospects of precision analyses withe+e−→W+W−

“…So for the purpose of illustration we will present the results as calculated within the DPA implemented in the program RacoonWW [33]. The unpolarized total cross section in the DPA agrees with the complete O (α) result within 0.3% for √ s from 200 GeV to 500 GeV [50]. To achieve better precision suitable for studies at future colliders, the results presented here are expected to be updated once more up-to-date codes become available.…”

“…Future high-luminosity e + e − colliders, operating at center-of-mass energies from W + W − threshold up to 1 TeV or even beyond, will enable per-mil-level cross section measurements in a wide range of √ s and push the precision frontier on e + e − → W + W − studies much further [45][46][47][48][49]. Accordingly, progress has been made after LEP2 on precision calculations toward the per-mil precision goal [50,51]. The promising experimental progress calls for reassessment 1 The W γ and W Z channels are also studied at the LHC to put limits on anomalous TGCs [40][41][42][43][44].…”

Next-to-leading-order QCD and electroweak corrections to triple-W production with leptonic decays at the LHC

“…The construction of the TPA generalizes in a straightforward way the concept of a double-pole approximation to describe W-pair production with leptonic decays at the LHC [19], which was used before for W-pair production in e − e + collisions [20][21][22] 1 . In particular, we further extend the comparison of pole approximation and full off-shell calculation, which was presented for W-pair production in e − e + [26,27] and pp collisions [28] before.…”

Unstable-particle effective field theory

“…3 The factor √ δ arises from the leading-order EFT matrix element and corresponds to the phase-space suppression near threshold. While constructing an expansion of the Born cross section when an exact, numerical result is readily available, appears as an unnecessary complication, the computation of the NLO radiative correction in unstableparticle effective theory [23] is remarkable simple compared to the corresponding calculation in the complexmass scheme [10,28]. The most complicated part is the computation of the NLO matching coefficient of the operator (26), which, however, is a standard one-loop calculation.…”