Mass and Coupling Constant Limits from Convergence Conditions on the Effective Charge in QED

Details Mass and Coupling Constant Limits from Convergence Conditions on the Effective Charge in QED Mass and Coupling Constant Limits from Convergence Conditions on the Effective Charge in QED

1998-11-19

arxiv.org/abs/hep-ph/9811398v4

Int.J.Mod.Phys.A15:3245-3261,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 3 tables 4 figures

Scientific paper

The massless fermion limit of QED is discussed. For on-shell renormalisation the high energy behaviour fixes no lower limit on the mass of the lightest fermion if the fine structure constant $\alpha$ is allowed to vary. The choice of an arbitary (space-like) subtraction point does, however, fix a lower limit on the mass of the lightest fermion, for any subtraction scale $\mu$, if the effective charge $\aefmu$ respects both quantum mechanical superposition and renormalisation scale invariance. Limits on the values of $\alpha$ or the electron mass are obtained within the Standard Electroweak Model by requiring convergence of $\aefmz$.

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