Asymmetries in Processes of Electron–Positron Annihilation

Abstract

<jats:p>Processes of electron–positron annihilation into a pair of fermions were considered. Forward–backward and left–right asymmetries were studied, taking into account polarization of initial and final particles. Complete 1-loop electroweak radiative corrections were included. A wide energy range including the Z boson peak and higher energies relevant for future e + e − colliders was covered. Sensitivity of observable asymmetries to the electroweak mixing angle and fermion weak coupling was discussed.</jats:p>

Is this the possible explanation to the unpredictability of the direction of of gamma ray emission during electron-positron annihilation ?

“…Electrons and positrons are having gravity due to mass, polarity due to spin and high attraction force due to opposite charges. All these factors are to be considered to find the final direction and location of impact, which are ex-tremely difficult to determine from the initial direction and velocity, even with accurate measurement using cloud chamber [1][2][3].In some experiments, most of the parameters are considered to some extent [4][5] The force parameters are responsible of what is normally called as hidden momentum. This requires modified equations and rules other than simple classical mechanics [6] but will not require quantum mechanics [7].…”

One-loop electroweak radiative corrections to lepton pair production in polarized electron-positron collisions

“…A comprehensive investigation of the one-loop contribution to the above-mentioned variables in wide c.m. energy region ( ffiffi ffi s p ¼ 20-500 GeV) can be found in [53].…”

“…In a special case of the LPP e þ e − → τ − τ þ reaction, the τ lepton decays can be used to determine their polarization [52], which gives extra information on the Zττ vertex. The influence of the polarization of the initial beams to the asymmetries and the final lepton polarization is given in [53].…”

Top and bottom quark forward-backward asymmetries at next-to-next-to-leading order QCD in (un)polarized electron positron collisions

“…For massive quark-antiquark production in e + e − collisions the following Standard Model (SM) radiative corrections to the lowest-order forward-backward asymmetry are known so far. The fully massive next-to-leading order (NLO) electroweak and QCD corrections were determined in [8][9][10][11][12] and in [13][14][15][16][17][18], respectively. The heavy quark pair production cross section was computed to order α 2 s and order α 3 s in [19][20][21][22] and [23], respectively, using approximations as far as the dependence on the heavy quark mass is concerned.…”