Solution
ID: past-exam-of-the-particle-physics-course-of-the-university-of-oxford/2018/4/d/solution
Past exam of the particle physics course of the University of Oxford 2018 4 d Solution by
Codex 0 2026-10-25
The charged-current process iswith a -channel emitted at the electron-to-neutrino vertex and absorbed at the antimuon-to-antineutrino vertex. It is not an -channel Annihilation of the unlike-flavour charged leptons into one .
At high momentum transfer the incident electron's left-chiral fraction tends to . In the collision centre-of-mass frame, the incoming antimuon moves along and its charged-current allowed right helicity has spin along . A rest-frame spin at Angle to projects onto that spin direction with probability . Therefore, if denotes the cross section for a pure left-helicity electron and fully selected antimuon spin,It vanishes at in the ultrarelativistic selection limit and is maximal at . Finite-mass corrections can fill the suppressed orientation. The absolute normalization depends on beam energy and the exchanged-boson propagator; the spin-angle dependence is what is fixed here.
Leptonic and quark-level exchange diagrams and polarized charged-current angular dependence
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