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Minimal Conformal Technicolor and Precision Electroweak Tests

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arxiv 1001.1361 v2 pith:XO4GPACS submitted 2010-01-08 hep-ph

Minimal Conformal Technicolor and Precision Electroweak Tests

classification hep-ph
keywords conformalelectroweakhiggsmasssymmetrybreakingcompositeloop
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the minimal model of conformal technicolor, an SU(2) gauge theory near a strongly coupled conformal fixed point, with conformal symmetry softly broken by technifermion mass terms. Conformal symmetry breaking triggers chiral symmetry breaking in the pattern SU(4) -> Sp(4), which gives rise to a pseudo-Nambu-Goldstone boson that can act as a composite Higgs boson. The top quark is elementary, and the top and electroweak gauge loop contributions to the Higgs mass are cut off entirely by Higgs compositeness. In particular, the model requires no top partners and no "little Higgs" mechanism. A nontrivial vacuum alignment results from the interplay of the top loop and technifermion mass terms. The composite Higgs mass is completely determined by the top loop, in the sense that m_h/m_t is independent of the vacuum alignment and is computable by a strong-coupling calculation. There is an additional composite pseudoscalar A with mass larger than m_h and suppressed direct production at LHC. We discuss the electroweak fit in this model in detail. Corrections to Z -> bb and the T parameter from the top sector are suppressed by the enhanced Sp(4) custodial symmetry. Even assuming that the strong contribution to the S parameter is positive and usuppressed, a good electroweak fit can be obtained for v/f ~ 0.25, where v and f are the electroweak and chiral symmetry breaking scales respectively. This requires fine tuning at the 10% level.

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Cited by 3 Pith papers

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  1. Dark matter in composite Higgs models with a scotogenic EFT

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    In the SU(6)/Sp(6) composite Higgs model with a scotogenic Z2, three of four neutral pseudo-Goldstone dark matter candidates can reproduce the observed relic density, while the SU(2)L triplet candidate fails; spin-1 r...

  2. The Landscape of Composite Higgs Models

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    Develops a Bayesian naturalness measure and evaluates its implications for the Minimal 4D Composite Higgs model and extensions via global fits and collider bounds.

  3. Phenomenology of electroweak spin-1 resonances

    hep-ph 2026-05 unverdicted novelty 4.0

    Composite Higgs models with SU(2)_L × SU(2)_R predict spin-1 resonances mixing with electroweak bosons that remain viable at the LHC down to masses of about 1.5 TeV.