Quest for the Dynamical Origin of Mass - An LHC perspective from Sakata, Nambu and Maskawa

TL;DR

This paper reviews dynamical symmetry breaking theories for the origin of mass, focusing on modern composite Higgs models, their conformal symmetry, and potential experimental tests at the LHC.

Contribution

It provides a comprehensive overview of modern dynamical symmetry breaking models, emphasizing conformal symmetry, anomalous dimensions, and their experimental implications at the LHC.

Findings

Composite Higgs particles like Techni-dilaton and Top-sigma are predicted.

Models exhibit large anomalous dimensions at conformal fixed points.

Potential detection of composite W/Z bosons at the LHC.

Abstract

I review the dynamical symmetry breaking (DSB) approach to the Origin of Mass, which is traced back to the original (2008 Nobel prize) work of Nambu based on the BCS analogue of superconductor where mass of nucleon (then elementary particle) arises due to Cooper paring and pions are provided as massless Nambu-Goldstone (NG) bosons, being composite as in Fermi-Yang/Sakata model. In this talk I will focus on the modern version of DSB or composite Higgs models: Walking/Conformal Technicolor, Hidden Local Symmetry (HLS) or Moose, and Top Quark Condensate, with the their extra dimension versions closely related with HLS. Particular emphasis will be placed on the large anomalous dimension and conformal symmetry at the conformal fixed points, developed along the line of the pioneering work of Maskawa and Nakajima. Due to (approximate) conformal symmetry these models do have composite Higgs particle ("Techni-dilaton", "Top-sigma" etc.). Weakly coupled composite gauge boson is realized at "Vector Manifestation" formulated at conformal fixed point, which may be applied to the composite W/Z boson models. They will be tested in the upcoming LHC experiments.