Theory and LHC Phenomenology of Classicalon Decays

TL;DR

This paper explores the thermodynamic properties and decay behaviors of classicalons, proposing their collider signatures and potential for discovery at the LHC, especially in high-multiplicity final states.

Contribution

It introduces a model-independent statistical analysis of classicalon decays, linking their properties to collider phenomenology and discovery prospects.

Findings

Classicalons exhibit a Planck distribution of decay products with temperature ~1/r_*

Predicted multi-W/Z final states at the LHC could allow discovery with current data

Decay multiplicity N_* can be computed, aiding collider analysis

Abstract

It has been recently proposed by Dvali et al that high energy scattering in non-renormalizable theories, like the higgsless Standard Model, can be unitarized by the formation of classical configurations called classicalons. In this work we argue that classicalons should have analogs of thermodynamic properties like temperature and entropy and perform a model-independent statistical mechanical analysis of classicalon decays. We find that, in the case of massless quanta, the decay products have a Planck distribution with an effective temperature T~1/r_* where r_* is the classicalon radius. These results, in particular a computation of the decay multiplicity, N_*, allow us to make the first collider analysis of classicalization. In the model for unitarization of WW scattering by classicalization of longitudinal Ws and Zs we get spectacular multi-W/Z final states that decay into leptons, missing energy and a very high multiplicity (at least 10) of jets. We find that for the classicalization scale, M_* = v=246 GeV (M_*=1 TeV) discovery should be possible in the present 7 TeV (14 TeV) run of the LHC with about 10 /fb (100 /fb) data. We also consider a model to solve the hierarchy problem, where the classicalons are configurations of the Higgs field which decay into to multi-Higgs boson final states. We find that, in this case, for M_*=500 GeV (M_*=1 TeV), discovery should be possible in the top fusion process with about 10 /fb (100 /fb) data at 14 TeV LHC.