Gauge Theories on an Interval: Unitarity without a Higgs

By Csaba Csáki, Christophe Grojean, H. Murayama, L. Pilo, J. Terning. 2003

170 citations recorded by the source corpus.

We consider extra dimensional gauge theories on an interval. We ﬁrst review the derivation of the consistent boundary conditions (BC’s) from the action principle. These BC’s include choices that give rise to breaking of the gauge symmetries. The boundary conditions could be chosen to coincide with those commonly applied in orbifold theories, but there are many more possibilities. To investigate the nature of gauge symmetry breaking via BC’s we calculate the elastic scattering amplitudes for longitudinal gauge bosons. We ﬁnd that using a consistent set of BC’s the terms in these amplitudes that explicitly grow with energy always cancel without having to introduce any additional scalar degree of freedom, but rather by the exchange of Kaluza–Klein (KK) gauge bosons. This suggests that perhaps the SM Higgs could be completely eliminated in favor of some KK towers of gauge ﬁelds. We show that from the low-energy eﬀective theory perspective this seems to be indeed possible. We display an extra dimensional toy model, where BC’s introduce a symmetry breaking pattern and mass spectrum that resembles that in the standard model.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/8b6dd7a108191088bbc9507030e7a99bf53cb1bd

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Citations in the corpus

Mesons in gauge/gravity duals (2007, result): “It is worth remarking that very similar ideas to these models have inspired the field of Higgsless electroweak models [255, 256] and their deconstructed [257, 258] partners for example in [259].”
A comprehensive approach to new physics simulations (2009, background): “Electroweak symmetry breaking may instead occur as the result of the condensation of a strongly coupled bound state as in technicolor theories [140, 141] or it may occur as the result of boundary conditions in a compactified extra dimension as in so-called Higgsless theories [142, 143].”
Electroweak and Flavour Structure of a Warped Extra Dimension with Custodial Protection (2009, background): “These BCs can be naturally achieved by adding a scalar SU(2)R doublet with QX = 1/2 charge on the UV brane, that develops a VEV vUV → ∞ (see [3, 61] for details).”
A Quirky Little Higgs Model (2008, background): “These fields can be decoupled [10] in the limit of infinite VEVs and the Dirichlet boundary condition is recovered for the U(1) gauge fields.”
Light-front holographic QCD and emerging confinement (2014, background): “The notion that boundary conditions in an extra dimension may be responsible for breaking of gauge invariances is also the basis of Higgsless models of electroweak symmetry breaking [329] and holographic technicolor models [330, 331, 332].”
SIMP spectroscopy (2015, background): “The broken gauge fields are the analog of the a1 axial-vector mesons of QCD, while the unbroken gauge fields, which also acquire mass due to the boundary conditions [77], are the analog of the ρ”