Abstract
An exact spacetime parity replicates the SU(2) × 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 ′ = 〈H ′ 〉 ≫ 〈H〉, yielding the Standard Model below v′ with a quartic coupling that essentially vanishes at v′: λSM(v′) ∼ 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′, 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′, including the mass and interaction of e′ dark matter, is described by one fewer parameter than in the Standard Model. The allowed range of {m}_{e^{prime }} is determined by uncertainties in (αs, mt, mh), so that future precision measurements of these will be correlated with the direct detection rate of e′ dark matter, which, together with the neutron electric dipole moment, will probe the entire parameter space.
Highlights
H, yielding the Standard Model below v with a quartic coupling that essentially vanishes at v : λSM(v ) ∼ 10−3
The allowed range of me is determined by uncertainties in, so that future precision measurements of these will be correlated with the direct detection rate of e dark matter, which, together with the neutron electric dipole moment, will probe the entire parameter space
The strong CP problem [12] can be addressed by introducing spacetime parity [13, 14], and a viable theory was first constructed by Babu and Mohapatra [15]
Summary
We review the framework of [11] that yields the near vanishing of the SM Higgs quartic coupling at a high energy scale. To obtain the hierarchy H = v v , it is necessary to tune λ to a very small value λ ∼ −v2/v 2; the quartic coupling of the Higgs H, λSM, is extremely small. The Standard Model Higgs is understood as a Nambu-Goldstone boson with a vanishing potential. Note that in this limit of extremely small λ , the vacuum alignment in the SU(4) space is determined by the Coleman-Weinberg potential. From the perspective of running from low to high energies, the scale at which the SM Higgs quartic coupling vanishes, μc of (1.1), is identified with v , v μc. In this paper we choose to have Z2 replicate the full electroweak interaction, so that there is an unbroken mirror QED symmetry that stabilizes light mirror matter [28] allowing it to be DM [29]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
