Abstract
In this note we present a new exponentiation scheme of soft photon radiation from charged quasi-stable resonances. It generalizes the well established scheme of Yennie, Frautschi and Suura. While keeping the same functional form of an exponent, the new scheme is both exact in its soft limit and accounts properly for the kinematical shift in resonant propagators. We present the scheme on an example of two processes: a toy model of single W production in e ν scattering and the W pair production and decay in e + e − annihilation. The latter process is of relevance for the planned FCCee collider where high precision of Monte Carlo simulations is a primary goal. The proposed scheme is a step in this direction.
Highlights
IntroductionProper treatment of such emission is mandatory
Emission of soft photons accompany every process with charged particles
If we consider a product of two W propagators we find that it can be rewritten as a sum of two terms, each of them being a product of a single W propagator and the soft-photon emission factor before or after the W
Summary
Proper treatment of such emission is mandatory These emissions happen from the external particles, decouple from the process itself and can be resummed and exponentiated in an universal way [1]. Among them one should list BHLUMI [7] and KORALZ [8] The latter one has been replaced by a next-generation-code KKMC [9] which includes recoil in production-decay interferences of the Z-resonance. The partial solutions related to the charged W bosons have been implemented in the YFSWW3 program [10] where exponentiation of the emission in the WW pair production (ee → WW) with the recoil has been done and in WINHAC [11] in which exponentiation of radiation in the W decay (W → f 1 f 2 ) is implemented for the single-W process.
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