Higgs Parity, Strong CP, and Dark Matter

Abstract

An exact spacetime parity replicates the $SU(2)\times U(1)$ electroweak interaction, the Higgs boson $H$, and the matter of the Standard Model. This "Higgs Parity" and the mirror electroweak symmetry are spontaneously broken at scale $v^{\prime }=⟨H^{\prime }⟩\gg ⟨H⟩$, yielding the Standard Model below $v^{\prime }$ with a quartic coupling that essentially vanishes at $v^{\prime }$: ${\lambda }_{SM}(v^{\prime })\sim 10^{-3}$. The strong CP problem is solved as Higgs parity forces the masses of mirror quarks and ordinary quarks to have opposite phases. Dark matter is composed of mirror electrons, $e^{\prime }$, stabilized by unbroken mirror electromagnetism. These interact with Standard Model particles via kinetic mixing between the photon and the mirror photon, which arises at four-loop level and is a firm prediction of the theory. Physics below $v^{\prime }$, including the mass and interaction of $e^{\prime }$ dark matter, is described by $\text{one fewer parameter}$ than in the Standard Model. The allowed range of $m_{e^{\prime }}$ is determined by uncertainties in $({\alpha }_s,m_t,m_h)$, so that future precision measurements of these will be correlated with the direct detection rate of $e^{\prime }$ dark matter, which, together with the neutron electric dipole moment, will probe the entire parameter space.

arXiv comment29 pages, 5 figures. Matches published version. Added references and clarifications

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