Higgs as a holographic pseudo-Goldstone boson

By Roberto Contino, Y. Nomura, A. Pomarol. 2003

550 citations recorded by the source corpus.

Abstract The AdS/CFT correspondence allows one to relate 4D strongly coupled theories to weakly coupled theories in 5D AdS. We use this correspondence to study a scenario in which the Higgs appears as a composite pseudo-Goldstone boson (PGB) of a strongly coupled theory. We show how a non-linearly realized global symmetry protects the Higgs mass and guarantees the absence of quadratic divergences at any loop order. The gauge and Yukawa interactions for the PGB Higgs are simple to introduce in the 5D AdS theory, and their one-loop contributions to the Higgs potential are calculated using perturbation theory. These contributions are finite, giving a squared-mass to the Higgs which is one-loop smaller than the mass of the first Kaluza–Klein state. We also show that if the symmetry breaking is caused by boundary conditions in the extra dimension, the PGB Higgs corresponds to the fifth component of the bulk gauge boson. To make the model fully realistic, a tree-level Higgs quartic coupling must be induced. We present a possible mechanism to generate it and discuss the conditions under which an unwanted large Higgs mass term is avoided.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/76bcdb7f54198ec99073cbe9f404d00468abcb29

How researchers see this paper

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

In Nuclear and High Energy Physics

1. Andrzej Buras
2. A. Weiler
3. A. Falkowski
4. R. Rattazzi
5. Christophe Grojean
6. Andrea Tesi
7. M. Blanke
8. A. Vichi

In Statistical and Nonlinear Physics

1. R. Rattazzi
2. A. Falkowski
3. Csaba Csáki
4. A. Vichi
5. A. Weiler
6. J. Barnard
7. T. Gherghetta
8. I. Low

Citations in the corpus

• Interpolating between low and high energy QCD via a 5D Yang-Mills model (2005, background): “Since the fifth component of the gauge fields contain the GB fields, we cannot get rid of them in the bulk without conflicting with the BCs [59, 20]: the pion is a physical field and cannot be eliminated.”
• Minimal conformal technicolor and precision electroweak tests (2010, methodology): “Composite Higgs models were rst introduced in the context of strongly-coupled gauge theories in the 1980’s [12{15] and more recently revived in the context of 5D models [ 16 , 17].”
• The flavor of the composite pseudo-goldstone Higgs (2008, methodology): “The 5D holographic version of this scenario are the models of gauge-Higgs unification (GHU) [15], where the Higgs boson is identified with the fifth component of a bulk gauge field (A5) [16].”
• A pseudoscalar decaying to photon pairs in the early LHC Run 2 data (2015, background): “J H E P 0 3 ( 2 0 1 6 ) 1 0 8 Other coset spaces can have additional singlets, an example (that suffers custodial breaking and hence is tuned) is SU(3)×U(1)X / SU(2)L×U(1)Y [53, 54].”
• Folded supersymmetry and the LEP paradox (2006, methodology): “Warped extra-dimensional realizations of the Higgs as a pseudo-Goldstone boson [6] are closely related to little Higgs theories.”