Ultraviolet fixed point and massive composite particles in TeV scales

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.

arXiv commentBoth theoretical parts and in particular the predictions in experimental part have been clarified. Beside, the discussions on the lepton sector in the previous version (v1) have seen removed due to the length limit of the Letter, and will be submitted to elsewhere. The version (v2) reproduces the version (v1). I have corrected this error and the version (v3) should be final as appeared in PLB

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• Vectorlike $W^{\pm }$-boson coupling at TeV and third family fermion masses
• An effective strong-coupling theory of composite particles in UV-domain
• Resonant and nonresonant new phenomena of four-fermion operators for experimental searches
• Phenomenology at the LHC of composite particles from strongly interacting Standard Model fermions via four-fermion operators of NJL type
• Hierarchy spectrum of SM fermions: from top quark to electron neutrino
• $W$ boson mass tension caused by its right-handed gauge coupling at high energies?
• Composite Fermions and their Pair States in a Strongly-Coupled Fermi Liquid
• Higgs boson origin from a gauge symmetric theory of massive composite particles and massless $W^{\pm }$ and $Z^0$ bosons at the TeV scale
• Searching for exclusive leptoquarks with the Nambu-Jona-Lasinio composite model at the LHC and HL-LHC
• Spontaneous Peccei-Quinn symmetry breaking renders sterile neutrino, axion and $\chi$boson to be candidates for dark matter particles
• Critical fermion density for restoring spontaneously broken symmetry