2015
DOI: 10.1016/j.nuclphysbps.2015.03.016
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Unstable-particle effective field theory

Abstract: Unstable particles are notorious in perturbative quantum field theory for producing singular propagators in scattering amplitudes that require regularization by the finite width. In this review I discuss the construction of an effective field theory for unstable particles, based on the hierarchy of scales between the mass, M, and the width, Γ, of the unstable particle that allows resonant processes to be systematically expanded in powers of the coupling α and Γ/M, thereby providing gauge-invariant approximatio… Show more

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Cited by 7 publications
(2 citation statements)
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“…The HR term is therefore simply a constant contribution to dΓ/dM 2 h in the edge region. The structure of ( 3) is similar to resonant and non-resonant production in the factorization formula for the line-shape of a resonance or pair production near threshold in previous applications of unstable-particle effective theory (see the review [8]). However, here both terms appear at leading power due to the presence of a resonant bulk region at tree-level rather than a single resonant invariant mass or threshold energy.…”
Section: Factorization and Leading Regionsmentioning
confidence: 65%
“…The HR term is therefore simply a constant contribution to dΓ/dM 2 h in the edge region. The structure of ( 3) is similar to resonant and non-resonant production in the factorization formula for the line-shape of a resonance or pair production near threshold in previous applications of unstable-particle effective theory (see the review [8]). However, here both terms appear at leading power due to the presence of a resonant bulk region at tree-level rather than a single resonant invariant mass or threshold energy.…”
Section: Factorization and Leading Regionsmentioning
confidence: 65%
“…[51]. Since perturbative unitarity of the S matrix is ensured, the CMS can be considered as a rigorous formalism for defining a renormalized quantum field theory [38,52].…”
Section: Introductionmentioning
confidence: 99%