Volume 390 - 40th International Conference on High Energy physics (ICHEP2020) - Parallel: Formal Theory
Predictive electroweak gauge model with strong spontaneous-symmetry-breaking dynamics
J. Hošek,* P. Beneš, A. Smetana
*corresponding author
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Pre-published on: January 01, 2021
Published on:
Abstract
Higgs sector of the Standard model (SM) is replaced by quantum flavor dynamics (QFD), the gauged flavor $SU(3)_f$ symmetry with scale $\Lambda$. For all SM chiral fermions in triplets
the anomaly freedom demands addition of a triplet of $\nu_R$. Approximate QFD Schwinger-Dyson equation for the Euclidean infrared fermion self-energies $\Sigma_f(p^2)$ has spontaneous-chiral-symmetry-breaking solutions ideal for seesaw: (1) $\Sigma_f(p^2)=M_{fR}^2/p$ where three Majorana masses $M_{fR}$ of $\nu_{fR}$ are of order $\Lambda$. (2) $\Sigma_f(p^2)=m_f^2/p$ where three Dirac masses $m_f=m_{(0)}1+m_{(3)}\lambda_3+m_{(8)}\lambda_8$ of SM fermions are {\it exponentially suppressed w.r.t. $\Lambda$}, and degenerate for all SM fermions in $f$. $M_{fR}$ break $SU(3)_f$ completely, and $m_{(3)},m_{(8)}$ superimpose its tiny breaking to $U(1) \times U(1)$. All flavor gluons thus acquire self-consistently the masses $\sim \Lambda$. $m_f$ break $SU(2)_L \times U(1)_Y$ to $U(1)_{em}$. Symmetry partners of the composite `would-be' Nambu-Goldstone bosons are the genuine Higgs particles: (1) Three $\nu_{R}$-composed Higgses $\chi_i$ with masses $\sim \Lambda$. (2) Two new SM-fermion-composed Higgses $h_3, h_8$ with masses $\sim m_{(3)}, m_{(8)}$, respectively. (3) The SM-like SM-fermion-composed Higgs $h$ with mass $\sim m_{(0)}$, the effective Fermi scale. Electroweak loops with $\Sigma_f(p^2)$-dependent vertices enforced by the symmetry of the Lagrangian generate the $W$ and $Z$ masses at Fermi scale, and provide the fermion mass splitting in $f$. At the present exploratory stage the splitting is unrealistic.
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