Pole Mass, Width, and Propagators of Unstable Fermions

Abstract

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.

9 pages

References in corpus (11)

• The Nielsen Identities of the SM and the definition of mass
• Radiative Corrections to W and Quark Propagators in the Resonance Region
• Width and Partial Widths of Unstable Particles in the Light of the Nielsen Identities
• Width and Partial Widths of Unstable Particles
• Differences Between the Pole and On-Shell Masses and Widths of the Higgs Boson
• Analysis of the Z^0 Resonant Amplitude in General R_ξGauges
• On the Field Renormalization Constant for Unstable Particles
• OMS-bar scheme of UV renormalization in the presence of unstable fundamental particles
• Higgs-Boson Production and Decay Close to Thresholds
• Mass and Width of a Heavy Higgs Boson
• Elimination of Threshold Singularities in the Relation Between On-Shell and Pole Widths

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• The Standard Model as an Effective Field Theory
• Stability of the Electroweak Vacuum: Gauge Independence and Advanced Precision
• The Status of Glueballs
• The Higgs Boson Lineshape
• Higgs Pseudo-Observables, Second Riemann Sheet and All That
• Glueball nature of the sigma/f_0(600) from pi-pi and gamma-gamma scatterings
• Gluonium nature of the sigma/f_0(600) from its coupling to KK
• The sigma and f_0(980) from Ke4 + pi-pi scatterings data
• Non-resonant and electroweak NNLO correction to the $e^{+}{e}^{-}$ top anti-top threshold
• WIMPy Leptogenesis With Absorptive Final State Interactions
• Gauge-invariant description of the Higgs resonance and its phenomenological implications
• Light scalar mesons in QCD
• How to define physical properties of unstable particles
• All-order renormalization of propagator matrix for fermionic system with flavor mixing
• Propagator mixing renormalization for Majorana fermions
• Mixing of fermions and spectral representation of propagator
• On-shell renormalization of the mixing matrices in Majorana neutrino theories
• Top quark as a resonance
• Gauge dependence of tadpole and mass renormalization for a seesaw extended 2HDM
• Considerations concerning the generalization of the Dirac equations to unstable fermions
• Fermion propagator diagonalization and eigenvalue problem
• The origin of fermion families and the value of the fine structure constant