Fermion Resonance in Quantum Field Theory

Gonchar, M.; Kaloshin, A. E.; Lomov, V. P.

doi:10.1142/s0217732307025443

Mod. Phys. Lett. A

2007

DOI: 10.1142/s0217732307025443

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Fermion Resonance in Quantum Field Theory

M. Gonchar

A. E. Kaloshin

V. P. Lomov

Abstract: We derive accurately the fermion resonance propagator by means of Dyson summation of the self-energy contribution. It turns out that the relativistic fermion resonance differs essentially from its boson analog.

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Cited by 4 publications

(2 citation statements)

References 17 publications

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“…This is assumed basing on the fact that the vicinity of the singular point dominates the momentum-space integral.5 This result agrees with eq. (11) of[21]. Note that their A, B are here −BvM , −Av, respectively.…”

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confidence: 99%

Thermal regularization of t-channel singularities in cosmology and particle physics: the general case

Iglicki

2023

J. High Energ. Phys.

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This paper presents a way to regularize the t-channel singularity (which appears when a massive, stable t-channel mediator of a given process is allowed to be on-shell, making the cross section infinite) in a general case of particles of any spin $$ \left(0,\frac{1}{2},1\right) $$ 0 1 2 1 interacting within a thermal medium. Those interactions result in a finite lifetime of the mediator and allow to introduce an effective momentum- and temperature-dependent width. As a result, the would-be-singular cross section becomes finite. A complete derivation and an analytical result for the width are provided. For an illustration, the method is used to calculate the thermal widths and cross sections within the Vector-Fermion Dark Matter model.

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confidence: 99%

Thermal regularization of t-channel singularities in cosmology and particle physics: the general case

Iglicki

2023

J. High Energ. Phys.

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“…in πN scattering. This fact leads to some difference in resonance denominators of fermion and boson propagators, noted in[19].…”

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Top quark as a resonance

Kaloshin

Lomov

2012

Eur. Phys. J. C

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We suggest the description of the dressed fermion propagator with parity non-conservation in the form with separated positive and negative energy poles. We found general form of the γ-matrix off-shell projectors and corresponding resonance factors. The parity violation leads to deviation of resonance factors from the naive Breit-Wigner form and to appearance of non-trivial spin corrections. However, for top quark with SM vertex the resonance factor returns to the standard one due to Γ/m ≪ 1.

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t-quark as a resonance

Kaloshin

Lomov

2012

Nuclear Physics B - Proceedings Supplements

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Fermion Resonance in Quantum Field Theory

Abstract: We derive accurately the fermion resonance propagator by means of Dyson summation of the self-energy contribution. It turns out that the relativistic fermion resonance differs essentially from its boson analog.

Cited by 4 publications

References 17 publications

Thermal regularization of t-channel singularities in cosmology and particle physics: the general case

Thermal regularization of t-channel singularities in cosmology and particle physics: the general case

Top quark as a resonance

t-quark as a resonance

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