Consistency of Higgsplosion in localizable QFT

Valentin V Khoze,Michael Spannowsky

doi:10.1016/j.physletb.2019.01.052

Abstract

We show that large n-particle production rates derived in the semiclassical Higgsplosion limit of scalar field theoretical models with spontaneous symmetry breaking, are consistent with general principles of localizable quantum field theory.The strict localizability criteria of Jaffe defines quantum fields as operator-valued distributions acting on test functions that are localized in finite regions of space–time. The requirement of finite support of test functions in space–time ensures the causality property of QFT. The corresponding localizable fields need not be tempered distributions, and they fit well into the framework of local quantum field theory.

Highlights

Higgsplosion [1] is a novel high-energy regime that may be realised in a class of quantum field theoretical models with microscopic massive scalar fields in (3 + 1) dimensions [2]
Following [2,3,4] we will use a unified description of the Higgsplosion pr√ocesses (1.3) and (1.2) in terms of the dimensionless quantity Rn( s) describing the n-particle production rate in the semiclassical limit for both processes, neglecting the effect of Higgspersion and the inclusion of appropriate test functions, as discussed in sections 2 and 3, we find the proportionality relation
For the theory to be local we need κ < 1, and we have argued that this regime does not contradict anything we know about Higgsplosion from general principles

Summary

Introduction

Higgsplosion [1] is a novel high-energy regime that may be realised in a class of quantum field theoretical models with microscopic massive scalar fields in (3 + 1) dimensions [2] This regime is characterised by large transition rates for few → many particle production processes,. If the partial width of the resonance |1∗ to decay into n elementary Higgs-like scalars becomes exponentially large above a certain energy scale s. The aim of this note is to point out that Higgsplosion is perfectly admissible and is not in contradiction with the results or axioms of the suitably defined local quantum field theory [9] This is contrary to what was stated recently in Refs.

Semiclassical Higgsplosion and the Källén–Lehmann spectral density

Strictly localizable fields and the self-consistency of Higgsplosion

Conclusions