Complex-mass scheme and perturbative unitarity

Abstract

We derive cutting rules for loop integrals containing propagators with complex masses. Using a field-theoretical model of a heavy vector boson interacting with a light fermion, we demonstrate that the complex-mass scheme respects unitarity order by order in a perturbative expansion provided that the renormalized coupling constant remains real.

Accepted for publication in International Journal of Modern Physics A

References in corpus (6)

• NLO Electroweak Corrections to Higgs Boson Production at Hadron Colliders
• The complex-mass scheme for perturbative calculations with unstable particles
• Precision calculations for the Higgs decays H-->ZZ/WW-->4leptons
• Two-Loop Renormalization in the Standard Model Part III: Renormalization Equations and their Solutions
• Two-Loop Threshold Singularities, Unstable Particles and Complex Masses
• Magnetic moment of the Roper resonance

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• The Complex-Mass Scheme and Unitarity in perturbative Quantum Field Theory
• The magnetic moment of the ρ-meson
• Electromagnetic transition form factors of the Roper resonance in effective field theory
• Spectral function of a scalar boson coupled to fermions
• Chiral behavior of vector meson self energies
• Nucleon-to-Delta transition form factors in chiral effective field theory using the complex-mass scheme
• Complex-mass renormalization in hadronic EFT: applicability at two-loop order
• Mass and width of the $\Delta (1232)$ resonance using complex-mass renormalization
• Unstable-particle effective field theory