The unnatural composite Higgs

Barnard, James; Gherghetta, Tony; Ray, Tirtha Sankar; Spray, Andrew

doi:10.1007/JHEP01(2015)067

Title: The unnatural composite Higgs

Journal Article · Wed Jan 14 00:00:00 EST 2015 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP01(2015)067· OSTI ID:1454605

Barnard, James ^[1]; Gherghetta, Tony ^[2]; Ray, Tirtha Sankar ^[3]; Spray, Andrew ^[1]

Univ. of Melbourne, Victoria (Australia). ARC Centre of Excellence for Particle Physics at the Terascale
Univ. of Minnesota, Minneapolis, MN (United States). School of Physics and Astronomy
Indian Inst. of Technology (IIT), Kharagpur (India). Dept. of Physics

Composite Higgs models can trivially satisfy precision-electroweak and flavour constraints by simply having a large spontaneous symmetry breaking scale, f ≳ 10 TeV. This produces a ‘split’ spectrum, where the strong sector resonances have masses greater than 10 TeV and are separated from the pseudo Nambu-Goldstone bosons, which remain near the electroweak scale. Even though a tuning of order 10^–4 is required to obtain the observed Higgs boson mass, the big hierarchy problem remains mostly solved. Intriguingly, models with a fully-composite right-handed top quark also exhibit improved gauge coupling unification. By restricting ourselves to models which preserve these features we find that the symmetry breaking scale cannot be arbitrarily raised, leading to an upper bound f ≲ 100-1000 TeV. This implies that the resonances may be accessible at future colliders, or indirectly via rare-decay experiments. Dark matter is identified with a pseudo Nambu-Goldstone boson, and we show that the smallest coset space containing a stable, scalar singlet and an unbroken SU(5) symmetry is SU(7)/SU(6) × U(1). The colour-triplet pseudo Nambu-Goldstone boson also contained in this coset space is metastable due to a residual symmetry. Furthermore, it can decay via a displaced vertex when produced at colliders, leading to a distinctive signal of unnaturalness.

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Research Organization:: Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0011842

OSTI ID:: 1454605

Journal Information:: Journal of High Energy Physics (Online), Vol. 2015, Issue 1; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 23 works

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Composite Dark Sectors Carmona, Adrián; Chala, Mikael ETH Zurich https://doi.org/10.3929/ethz-b-000102068	text	January 2015
Collider constraints on tuning in composite Higgs models Barnard, James; White, Martin arXiv https://doi.org/10.48550/arxiv.1507.02332	preprint	January 2015
Dark matter shifts away from direct detection Balkin, Reuven; Ruhdorfer, Maximilian; Salvioni, Ennio arXiv https://doi.org/10.48550/arxiv.1809.09106	text	January 2018
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