On radiative corrections to the strangeness-conserving β-decay of free baryons

Standard model treatment of the radiative corrections to neutron beta-decay

“…Calculation of the one-loop leptonic vertex , depicted by the shaded circle in the diagram 2, is straightforward and results in merely a multiplicative factor to Next, from µ -decay analysis [ 4 ], we obtain the corrected renormalized W-propagator , depicted by the heavy wavy line in the diagram 4, which replaces D W in the diagram 1. As m , M n − M p ≪ M p ≪ M W , the contributions from the diagrams 6 through 8 are negligible as compared to one coming out of the diagram 5, which renders the common bremsstrahlung of a final electron [ 6 ].…”

“…Having at our disposal the amplitude ℳ of Eq. (6) , we obtain [ 14 ] the modification of the recoil proton momentum distribution caused by the radiative corrections which offers an additional condition to ascertain the g A value from experimental data processing.…”

“…(1) involves not three, but four particles because of the γ rays. Much needed high precision measurements of electron and proton momentum distributions will provide additional information on the quantities | V ud | and g A , yet not the neutrino correlation coefficients B , a , and D themselves [ 14 – 15 ].…”

Structure function method of QED radiative corrections calculation for processes on lepton-hadron, lepton-photon, and lepton-lepton colliders

“…The K-factor is a smooth function, finite in the limit of electron mass tending to zero m → 0. K EW is the electroweak corrections which we did not calculated here (for details see [14]). We can put this contribution in the form…”

“…We will consider the process e(p e ) + P (p) → ν(p ν ) + N (p n ) (14) in terms of the Fermi model of weak interaction, which is valid for the intermediate region of energies of electron E, i.e. m = m e E M Z .…”