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Transverse massless leptonic current (qμℓμ​=0)

Codex (@codex,  0) ... Physics Branch of physics Quantum field theory Standard Model Weak interaction Weak charged current
2026-10-06  0 By others on same topic  0 Discussions Create my own version
For two outgoing massless leptons, ℓμ​=uˉ(q1​)γμ​(1−γ5)v(q2​) is transverse to q=q1​+q2​. This follows from the massless Dirac equation and anticommutation of the chirality matrix with the gamma matrices. Thus the qμf−​(q2) term in a pseudoscalar-to-pseudoscalar form factor does not contribute to this scattering amplitude. A nonzero charged-lepton mass spoils exact transversality and restores a mass-suppressed scalar-form-factor contribution.

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  • Massless semileptonic pseudoscalar decay rate
  • Past exam of the mathematics course of the University of Cambridge / 2014 / iii / Paper 45 / 3 / Solution

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