Abstract
We present a novel mechanism for realistic electroweak symmetry breaking in Twin Higgs/neutral naturalness models where the Z2 exchange symmetry can remain exactly unbroken. The exchange symmetry in the Yukawa sector will be implemented as an “N-trigonometric parity” sin Nfrac{h}{f}leftrightarrow cos Nfrac{h}{f} . The Yukawa couplings will be suppressed leading to an N-suppressed Higgs quadratic term, without significantly affecting the quartic. We present a concrete implementation of this idea for general (odd) values of N using maximal symmetry, and a realistic benchmark model for N = 3. We find that the tuning in the resulting Higgs potential is negligible, and also show that two-loop N-suppression violating gauge contributions can be sufficiently small. The Higgs potential and its couplings in top sector are different from other neutral naturalness models, which are the main predictions of our model and can be tested in colliders.
Highlights
We present a novel mechanism for realistic electroweak symmetry breaking in Twin Higgs/neutral naturalness models where the Z2 exchange symmetry can remain exactly unbroken
We present a concrete implementation of this idea for general values of N using maximal symmetry, and a realistic benchmark model for N = 3
In the gauge sector we assume that the implementation of the Z2 trigonometric parity (TP) is the same as in the ordinary twin Higgs model and we summarize it in appendix A
Summary
Twin Higgs models [1,2,3] use a Z2 exchange symmetry between the SM and the twin sector to efficiently soften the Higgs potential. The novel ingredient in our model is that the effective Yukawa terms only depend on sin(N h/f ) and cos(N h/f ), rather than sin(h/f ) and cos(h/f ) as it is usually assumed In this case the Z2 Twin Higgs exchange symmetry will be implemented in the top sector as a TP corresponding to the exchange symmetry between sin(N h/f ) and cos(N h/f ) where N is an odd integer. The beauty of our mechanism is that the N-suppression will reduce the effective γf such that it’s magnitude can be automatically of the same order as γg and the partial cancelation can be natural without much tuning, as long as N is not too large, for example N = 3 Note that this cancelation here is very different from the usual sources of tuning in Twin Higgs models.
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