Mirror neutrons as dark matter in the Mirror Twin Two Higgs Doublet Model
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Springer
Received: July 18, 2020 Accepted: August 11, 2020 Published: September 7, 2020
Hugues Beauchesne Department of Physics, Ben-Gurion University, Beer-Sheva 8410501, Israel
E-mail: [email protected] Abstract: In addition to being a solution to the little hierarchy problem, the Mirror Twin Higgs provides a natural setting for Asymmetric Dark Matter. In its incarnation with only one Higgs doublet and its mirror copy, dark matter would however almost certainly consist mostly of mirror atoms, which is severely ruled out by constraints on dark matter selfinteractions. By adding a second Higgs doublet and its mirror, the vevs of the different Higgses can be arranged such that dark matter consists mostly of mirror neutrons, which is cosmologically viable. In this paper, it is shown that current constraints from colliders, flavour and cosmology can accommodate such a vev structure with little increase in the necessary tuning. Keywords: Beyond Standard Model, Cosmology of Theories beyond the SM ArXiv ePrint: 2007.00052
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP09(2020)048
JHEP09(2020)048
Mirror neutrons as dark matter in the Mirror Twin Two Higgs Doublet Model
Contents 1 Introduction
1
2 Potential, notation and basic concepts
3 6 6 8 9 12 13
4 Cosmological constraints, mirror BBN and final results 4.1 Constraints 4.2 Computation of the relic abundances 4.3 Results
15 15 16 18
5 Conclusion
22
1
Introduction
The Twin Higgs [1, 2] is an attempt to solve the little hierarchy problem by introducing partners that are neutral under the Standard Model (SM) gauge groups, being an example of so-called Neutral Naturalness. Its conceptually simplest form is the Mirror Twin Higgs. In this model, a mirror copy of the Standard Model is introduced, including a copy of every SM particle and the equivalent interactions between them. The main difference is that the new particles are charged under new mirror gauge groups that reflect those of the Standard Model. In other words, the Twin partner of a SM particle is charged under the mirror SU(3) × SU(2) × U(1) in the same way that said SM particle is charged under the SU(3) × SU(2) × U(1) of the Standard Model. The Higgs doublet and its mirror partner can then be combined to write a potential that respects an approximate SU(4) global symmetry, which is assumed to be broken spontaneously to SU(3). This results in seven (pseudo-)Goldstone bosons, three of which are eaten by SM gauge bosons and three by the corresponding mirror gauge bosons. The remaining one serves as a candidate for the observed Higgs particle. Central to the Twin Higgs model is the introduction of a Z2 interchange symmetry between the SM and mirror sectors. This symmetry insures that the leading corrections to the potential, the ones proportional to the cutoff of the theory square, respect the SU(4) global symmetry. The Higgs being a pseudo-Goldstone boson of this symmetry, it does not gain a mass from these leading corrections by themselves
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