Naturally SelfTuned Low Mass Composite Scalars
Abstract
Scalar bosons composed of a pair of chiral fermions in a nonconfining potential have an effective Yukawa coupling, $g$, to free external chiral fermions. At large distance a Feynman loop of external fermions generates a scale invariant potential, $V_{loop}\propto g^2/{r^{2}}$, which acts on valence fermions for separation $\rho=2r$. This generally forces the $s$wave ground state to deform to a static, zero mass, configuration, and for slowly running, perturbative $g$, a large external "shroud" wavefunction forms. This is related to old results of Landau and Lifshitz in quantum mechanics. The massless composite scalar boson ground state is then an extended object. Infrared effects can generate a small mass for the system. This points to a perturbative BEHboson composed of top and antitop quarks and a novel dynamical mechanism for spontaneous electroweak symmetry breaking.
 Publication:

arXiv eprints
 Pub Date:
 January 2022
 DOI:
 10.48550/arXiv.2201.04478
 arXiv:
 arXiv:2201.04478
 Bibcode:
 2022arXiv220104478H
 Keywords:

 High Energy Physics  Phenomenology;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Experiment;
 High Energy Physics  Theory
 EPrint:
 16 pages, 4 figures