Abstract
The Twin Higgs model seeks to address the little hierarchy problem by making the Higgs a pseudo-Goldstone of a global SU(4) symmetry that is spontaneously broken to SU(3). Gauge and Yukawa couplings, which explicitly break SU(4), enjoy a discrete \( {\mathbb{Z}}_2 \) symmetry that accidentally maintains SU(4) at the quadratic level and therefore keeps the Higgs light. Contrary to most beyond the Standard Model theories, the quadratically divergent corrections to the Higgs mass are cancelled by a mirror sector, which is uncharged under the Standard Model groups. However, the Twin Higgs with an exact \( {\mathbb{Z}}_2 \) symmetry leads to equal vevs in the Standard Model and mirror sectors, which is phenomenologically unviable. An explicit \( {\mathbb{Z}}_2 \) breaking potential must then be introduced and tuned against the SU(4) breaking terms to produce a hierarchy of vevs between the two sectors. This leads to a moderate but non-negligible tuning. We propose a model to alleviate this tuning, without the need for an explicit \( {\mathbb{Z}}_2 \) breaking sector. The model consists of two SU(4) fundamental Higgses, one whose vacuum preserves \( {\mathbb{Z}}_2 \) and one whose vacuum breaks it. As the interactions between the two Higgses are turned on, the \( {\mathbb{Z}}_2 \) breaking is transmitted from the broken to the unbroken sector and a small hierarchy of vevs is naturally produced. The presence of an effective tadpole and feedback between the two Higgses lead to a sizable improvement of the tuning. The resulting Higgs boson is naturally very Standard Model like.
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References
R. Barbieri and A. Strumia, The ‘LEP paradox’, talk given at the 4th Rencontres du Vietnam: Physics at Extreme Energies (Particle Physics and Astrophysics), July 19-25, Hanoi, Vietnam (2000), hep-ph/0007265 [INSPIRE].
Z. Chacko, H.-S. Goh and R. Harnik, The Twin Higgs: natural electroweak breaking from mirror symmetry, Phys. Rev. Lett. 96 (2006) 231802 [hep-ph/0506256] [INSPIRE].
R. Barbieri, T. Gregoire and L.J. Hall, Mirror world at the large hadron collider, hep-ph/0509242 [INSPIRE].
G. Burdman, Z. Chacko, H.-S. Goh and R. Harnik, Folded supersymmetry and the LEP paradox, JHEP 02 (2007) 009 [hep-ph/0609152] [INSPIRE].
H. Cai, H.-C. Cheng and J. Terning, A quirky little Higgs model, JHEP 05 (2009) 045 [arXiv:0812.0843] [INSPIRE].
G. Burdman, Z. Chacko, H.-S. Goh, R. Harnik and C.A. Krenke, The quirky collider signals of folded supersymmetry, Phys. Rev. D 78 (2008) 075028 [arXiv:0805.4667] [INSPIRE].
D. Poland and J. Thaler, The dark top, JHEP 11 (2008) 083 [arXiv:0808.1290] [INSPIRE].
P. Batra and Z. Chacko, A composite Twin Higgs model, Phys. Rev. D 79 (2009) 095012 [arXiv:0811.0394] [INSPIRE].
N. Craig, S. Knapen and P. Longhi, Neutral naturalness from orbifold Higgs models, Phys. Rev. Lett. 114 (2015) 061803 [arXiv:1410.6808] [INSPIRE].
N. Craig, S. Knapen and P. Longhi, The orbifold Higgs, JHEP 03 (2015) 106 [arXiv:1411.7393] [INSPIRE].
G. Burdman, Z. Chacko, R. Harnik, L. de Lima and C.B. Verhaaren, Colorless top partners, a 125 GeV Higgs and the limits on naturalness, Phys. Rev. D 91 (2015) 055007 [arXiv:1411.3310] [INSPIRE].
R. Barbieri, D. Greco, R. Rattazzi and A. Wulzer, The composite Twin Higgs scenario, JHEP 08 (2015) 161 [arXiv:1501.07803] [INSPIRE].
M. Low, A. Tesi and L.-T. Wang, Twin Higgs mechanism and a composite Higgs boson, Phys. Rev. D 91 (2015) 095012 [arXiv:1501.07890] [INSPIRE].
I. García García, R. Lasenby and J. March-Russell, Twin Higgs WIMP dark matter, Phys. Rev. D 92 (2015) 055034 [arXiv:1505.07109] [INSPIRE].
N. Craig and A. Katz, The Fraternal WIMP Miracle, JCAP 10 (2015) 054 [arXiv:1505.07113] [INSPIRE].
I. García García, R. Lasenby and J. March-Russell, Twin Higgs asymmetric dark matter, Phys. Rev. Lett. 115 (2015) 121801 [arXiv:1505.07410] [INSPIRE].
M. Farina, Asymmetric twin dark matter, JCAP 11 (2015) 017 [arXiv:1506.03520] [INSPIRE].
B. Batell and M. McCullough, Neutrino masses from neutral top partners, Phys. Rev. D 92 (2015) 073018 [arXiv:1504.04016] [INSPIRE].
N. Craig, A. Katz, M. Strassler and R. Sundrum, Naturalness in the dark at the LHC, JHEP 07 (2015) 105 [arXiv:1501.05310] [INSPIRE].
D. Curtin and C.B. Verhaaren, Discovering uncolored naturalness in exotic Higgs decays, JHEP 12 (2015) 072 [arXiv:1506.06141] [INSPIRE].
D. Curtin and P. Saraswat, Towards a no-lose theorem for naturalness, arXiv:1509.04284 [INSPIRE].
Z. Chacko, Y. Nomura, M. Papucci and G. Perez, Natural little hierarchy from a partially Goldstone twin Higgs, JHEP 01 (2006) 126 [hep-ph/0510273] [INSPIRE].
S. Chang, L.J. Hall and N. Weiner, A supersymmetric twin Higgs, Phys. Rev. D 75 (2007) 035009 [hep-ph/0604076] [INSPIRE].
P.J. Fox, A.E. Nelson and N. Weiner, Dirac gaugino masses and supersoft supersymmetry breaking, JHEP 08 (2002) 035 [hep-ph/0206096] [INSPIRE].
A. Falkowski, S. Pokorski and M. Schmaltz, Twin SUSY, Phys. Rev. D 74 (2006) 035003 [hep-ph/0604066] [INSPIRE].
J. Galloway, M.A. Luty, Y. Tsai and Y. Zhao, Induced electroweak symmetry breaking and supersymmetric naturalness, Phys. Rev. D 89 (2014) 075003 [arXiv:1306.6354] [INSPIRE].
N. Craig and K. Howe, Doubling down on naturalness with a supersymmetric twin Higgs, JHEP 03 (2014) 140 [arXiv:1312.1341] [INSPIRE].
Particle Data Group collaboration, K.A. Olive et al., Review of particle physics, Chin. Phys. C 38 (2014) 090001 [INSPIRE].
ATLAS, CMS collaboration, Combined measurement of the Higgs boson mass in pp collisions at \( \sqrt{s}=7 \) and 8 TeV with the ATLAS and CMS experiments, Phys. Rev. Lett. 114 (2015) 191803 [arXiv:1503.07589] [INSPIRE].
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ArXiv ePrint: 1510.06069
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Beauchesne, H., Earl, K. & Grégoire, T. The spontaneous \( {\mathbb{Z}}_2 \) breaking Twin Higgs. J. High Energ. Phys. 2016, 130 (2016). https://doi.org/10.1007/JHEP01(2016)130
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DOI: https://doi.org/10.1007/JHEP01(2016)130