Abstract
A gauge $U(1)$ family symmetry is proposed, spanning the quarks and leptons as well as particles of the dark sector. The breaking of $U(1)$ to $Z_2$ divides the two sectors and generates one-loop radiative masses for the first two families of quarks and leptons, as well as all three neutrinos. We study the phenomenological implications of this new connection between family symmetry and dark matter. In particular, a scalar or pseudoscalar particle associated with this $U(1)$ breaking may be identified with the 750 GeV diphoton resonance recently observed at the Large Hadron Collider (LHC).
Highlights
In any extension of the standard model (SM) of particle interactions to include dark matter, a symmetry is usually assumed, which distinguishes quarks and leptons from dark matter
Suppose Z2 is promoted to a gauge U (1) symmetry, the usual assumption is that it will not affect ordinary matter
It is proposed instead that a gauge U (1) extension of the SM spans both ordinary and dark matter. It is a horizontal family symmetry. It has a number of interesting consequences, including the radiative mass generation of the first two families of quarks and leptons, and a natural explanation of the 750 GeV diphoton resonance recently observed [1, 2] at the Large Hadron Collider (LHC)
Summary
In any extension of the standard model (SM) of particle interactions to include dark matter, a symmetry is usually assumed, which distinguishes quarks and leptons from dark matter. These models all have a dark vector boson which couples only to particles of the dark sector. It has a number of interesting consequences, including the radiative mass generation of the first two families of quarks and leptons, and a natural explanation of the 750 GeV diphoton resonance recently observed [1, 2] at the Large Hadron Collider (LHC).
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