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Pole Mass, Width, and Propagators of Unstable Fermions

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arxiv 0801.0669 v1 pith:SL64KHT5 submitted 2008-01-04 hep-th hep-ph

Pole Mass, Width, and Propagators of Unstable Fermions

classification hep-th hep-ph
keywords fermionsunstableconceptsgaugegeneralmasspolepropagators
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The concepts of pole mass and width are extended to unstable fermions in the general framework of parity-nonconserving gauge theories, such as the Standard Model. In contrast with the conventional on-shell definitions, these concepts are gauge independent and avoid severe unphysical singularities, properties of great importance since most fundamental fermions in nature are unstable particles. General expressions for the unrenormalized and renormalized dressed propagators of unstable fermions and their field-renormalization constants are presented.

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  1. Gauge-Invariant Off-Shell Mass

    hep-th 2026-07 conditional novelty 6.5

    A segment-local Ward–Takahashi cancellation makes the fermion self-energy equal to its Feynman-gauge value off shell, yielding a gauge-invariant, on-shell-renormalized mass function m(q).