Exploring high multiplicity amplitudes: The quantum mechanics analogue of the spontaneously broken case

Abstract

Calculations of high multiplicity Higgs amplitudes exhibit a rapid growth that may signal an end of perturbative behavior or even the need for new physics phenomena. As a step toward this problem we consider the quantum mechanical equivalent of 1→n scattering amplitudes in a spontaneously broken φ4-theory by extending our previous results on the quartic oscillator with a single minimum [Phys. Rev. D 98, 096007 (2018)PRVDAQ2470-001010.1103/PhysRevD.98.096007] to transitions ?n|x^|0