Conformal Technicolor

By M. Luty, Takemichi Okui. 2004

163 citations recorded by the source corpus.

We point out that the ﬂavor problem in theories with dynamical electroweak symmetry breaking can be eﬀectively decoupled if the physics above the TeV scale is strongly conformal, and the electroweak order parameter has a scaling dimension d = 1 + ǫ with ǫ ≃ 1 / few. There are many restrictions on small values of ǫ : for ǫ ≪ 1, electroweak symmetry breaking requires a ﬁne-tuning similar to that of the standard model; large- N conformal ﬁeld theories (including those obtained from the AdS/CFT correspondence) require ﬁne-tuning for d < 2; ‘walking technicolor’ theories cannot have d < 2, according to gap equation analyses. However, strong small- N conformal ﬁeld theories with ǫ ≃ 1 / few avoid all these constraints, and can give rise to natural dynamical electroweak symmetry breaking with a top quark ﬂavor scale of order 10 1 /ǫ TeV, large enough to decouple ﬂavor. Small- N theories also have an acceptably small Peskin-Takeuchi S parameter. This class of theories provides a new direction for dynamical electroweak symmetry breaking without problems from ﬂavor or electroweak precision tests. A possible signal for these theories is a prominent scalar resonance below the TeV scale with couplings similar to a heavy standard model Higgs.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e5437bd4289a84c41603fdc86c40aefdaf8971e3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

Citations in the corpus

Improved bounds for CFT’s with global symmetries (2011, background): “This in turn was needed in order to constrain the Conformal Technicolor scenario of electroweak symmetry breaking ([15–17]).”
UV completions of partial compositeness: the case for a SU(4) gauge group (2014, unknown): “However, the idea [23] may still be viable for the SM fermions other than the top quark and we will rely on this in our construction.”
Bounding scalar operator dimensions in 4D CFT (2008, methodology): “The phenomenological motivation of our study is given by one declination of the hierarchy problem, which was lucidly discussed in a paper by Luty and Okui [2] (see also [3]).”
The Composite Nambu-Goldstone Higgs (2015, background): “[63] for a concise but clear discussion.”
Supersymmetry inspired QCD beta function (2007, background): “It allows for the physical value of the mass of the top while avoiding a large violation of flavor changing neutral currents [46] which were investigated in [47] in the case of the ladder approximation for minimal walking models.”
Addressing the B-physics anomalies in a fundamental Composite Higgs model (2018, background): “[62, 72, 73] for modern realisations of this idea and for a discussion of the problems one may encounter in this approach.”
Minimal conformal technicolor and precision electroweak tests (2010, background): “This can be stated in conformal field theory language as follows [1].”
Walking, weak first-order transitions, and complex CFTs (2018, background): “However there is a way to turn a mild tuning into a large hierarchy, provided that O∆ is weakly relevant, that is if d−∆ 1 [9].”
Carving out the space of 4D CFTs (2011, background): “Conformal Technicolor (CTC) [7] seeks to avoid this tension by assuming that H participates in strong conformal dynamics above the electroweak scale, which generates a large dimension for H†H, while the dimension of H remains near 1.”
Natural tuning: towards a proof of concept (2013, background): “Also it is straightforward to refine both formulations to account properly for the relevant operators which are close to marginality along the lines of [15, 23,24].”