More on scattering processes of dressed particles with a time-dependent mass

Abstract

We discuss the scattering process of a scalar field having a time-dependent mass with another scalar field having a constant mass as a toy model of the scattering problems during preheating after inflation. Despite a general difficulty of analytically solving such models, in our previous work [1], we considered an exactly calculable model of such scattering processes with a time-dependent mass of the form $m^2(t)\supset {\mu }^4{t}^2$ and the time-dependence never disappears formally. In this work, we discuss another exactly calculable model with a time-dependent mass that has a spike/peak but asymptotes to a constant, which effectively appears in the preheating model of Higgs inflation with a non-minimal coupling. Thanks to the localized time-dependence of the mass, the daughter particle number density behaves in a physically reasonable way contrary to the one in our previous model due to the infinite time-dependent mass in the asymptotic future. On the other hand, we find that the daughter particle experiences the kinematically forbidden process, which is a non-perturbative phenomenon found in our previous work. As in the previous model, the kinematically forbidden process produces daughter particles exponentially more than the parent particle having the time-dependent mass, which never happens for particle decay processes without time-dependent backgrounds. This result supports the existence of such a non-perturbative particle production process in general time-dependent backgrounds.

28 pages, 5 figures

References in corpus (23)

• Planck 2018 results. X. Constraints on inflation
• Towards the Theory of Reheating After Inflation
• Reheating after Inflation
• Universe Reheating after Inflation
• Instant Preheating
• Inflation and Preheating in NO models
• The Stokes Phenomenon and Schwinger Vacuum Pair Production in Time-Dependent Laser Pulses
• Interference Effects in Schwinger Vacuum Pair Production for Time-Dependent Laser Pulses
• Violent Preheating in Inflation with Nonminimal Coupling
• Catastrophic Particle Production under Periodic Perturbation
• Preheating after Higgs Inflation: Self-Resonance and Gauge boson production
• Complex Worldline Instantons and Quantum Interference in Vacuum Pair Production
• On the violent preheating in the mixed Higgs-$R^2$ inflationary model
• Schwinger Vacuum Pair Production in Chirped Laser Pulses
• Exact WKB analysis of the vacuum pair production by time-dependent electric fields
• From Wires to Cosmology
• Reheating and Dark Matter Freeze-in in the Higgs-$R^2$ Inflation Model
• Stokes phenomenon and gravitational particle production -- How to evaluate it in practice
• Perturbative Reheating in the Mixed Higgs-$R^2$ Model
• Afterglow of the dynamical Schwinger process: soft photons amass
• Superadiabatic basis in cosmological particle production: application to preheating
• An analytic evaluation of gravitational particle production of fermions via Stokes phenomenon
• QFT approach to dressed particle processes in preheating and non-perturbative mechanism in kinematically-forbidden regime