Theory and LHC phenomenology of classicalon decays

Abstract

Abstract It has been recently proposed by Dvali et al. [1] 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 clas- sicalons 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 $$ {\text{T}}\sim {1}/{{\text{r}}_{*}} $$ , 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 classical- ization 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, $$ {M_{ * }} = \upsilon = {246}\, {\text{GeV}}({{\text{M}}_{ * }} = {\text{1TeV}}) $$ discovery should be possible in the present 7 TeV (14 TeV) run of the LHC with about 10 fb−1 (100 fb−1) 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−1 (100 fb−1) data at 14 TeV LHC.