Ultraviolet fixed point and massive composite particles in TeV scales

TL;DR

This paper explores the existence of an ultraviolet fixed point in a quantum field theory with composite particles at TeV scales, proposing a mechanism consistent with the standard model and potential experimental verification at the LHC.

Contribution

It introduces a new perspective on high-dimension fermion operators and fixed points, connecting them to composite particles and standard model phenomenology at TeV energies.

Findings

Identification of an ultraviolet-stable fixed point in the theory.

Estimation of composite particle masses and form-factors at TeV scales.

Discussion of experimental signatures for composite particles at the LHC.

Abstract

We present a further study of the dynamics of high-dimension fermion operators attributed to the theoretical inconsistency of the fundamental cutoff (quantum gravity) and the parity-violating gauge symmetry of the standard model. Studying the phase transition from a symmetry-breaking phase to a strong-coupling symmetric phase and the $\beta$-function behavior in terms of four-fermion coupling strength, we discuss the critical transition point as a ultraviolet-stable fixed point where a quantum field theory preserving the standard model gauge symmetry with composite particles can be realized. The form-factors and masses of composite particles at TeV scales are estimated by extrapolating the solution of renormalization-group equations from the infrared-stable fixed point where the quantum field theory of standard model is realized and its phenomenology including Higgs mass has been experimentally determined. We discuss the probability of composite-particle formation and decay that could be experimentally verified in the LHC by measuring the invariant mass of relevant final states and their peculiar kinetic distributions.