Multiparticle production in the large lambda n limit: Realising Higgsplosion in a scalar QFT

Abstract

In a scalar theory which we use as a simplified model for the Higgs sector, we adopt the semiclassical formalism of Son for computations of $n$-particle production cross-sections in the high-multiplicity $n\to \infty$ weak-coupling $\lambda \to 0$ regime with the value of $\lambda n$ held fixed and large. The approach relies on the use of singular classical solutions to a certain boundary value problem. In the past this formalism has been successfully used and verified in computations of perturbative multi-particle processes at tree-level, and also at the next-to-leading order level in the small $\lambda n$ expansion near the multi-particle mass threshold. We apply this singular solutions formalism in the regime of ultra-high multiplicities where $\lambda n\gg 1$, and compute the leading positive $\sim n\sqrt{\lambda n}$ contribution to the exponent of the multi-particle rate in this large $\lambda n$ limit. The computation is carried out near the multi-particle mass threshold where the multiplicity $n$ approaches its maximal value allowed by kinematics. This calculation relies on the idea of Gorsky and Voloshin to use a thin wall approximation for the singular solutions that resemble critical bubbles. This approximation is justified in precisely the high-multiplicity $\sqrt{\lambda n}\to \infty$ regime of interest. Based on our results we show that the scalar theory with a spontaneous symmetry breaking used here as a simplified model for the Higgs sector, is very likely to realise the high-energy Higgsplosion phenomenon.

21 pages, 2 figures, v2: minor corrections, matches version accepted in JHEP, v3: extended discussion below Eq. (4.10), minor corrections, v4: few typos (signs and factors) corrected in intermediate results

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• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
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• Non-Gaussian statistics of de Sitter spectators: A perturbative derivation of stochastic dynamics
• Numerical study of multiparticle scattering in $\lambda {\varphi }^4$ theory
• Multiparticle Amplitudes in a Scalar EFT
• Suppression exponent for multiparticle production in $\lambda {\varphi }^4$ theory
• BPS solutions for generalised Wess-Zumino models and their applications