Probing the Scattering of Equivalent Electroweak Bosons
Pascal Borel, Roberto Franceschini, Riccardo Rattazzi, Andrea, Wulzer

TL;DR
This paper investigates the conditions under which the scattering of equivalent electroweak bosons can be simplified using the effective W approximation, providing a rigorous foundation and practical estimates for its accuracy.
Contribution
It establishes the validity conditions for the effective W approximation and offers explicit correction estimates with practical examples.
Findings
Derived the kinematic conditions for factorization in vector boson scattering.
Provided a parametric estimate of corrections to the approximation.
Validated the approximation's accuracy through explicit examples.
Abstract
We analyze the kinematic conditions under which the scattering of equivalent massive spin-1 vector bosons factorizes out of the complete process. In practice, we derive the conditions for the validity of the effective W approximation, proposed long ago but never established on a firm basis. We also present a parametric estimate of the corrections to the approximation and explicitly check its validity in two examples.
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