Pseudo-Goldstone Higgs Production via Gluon Fusion
Adam Falkowski
TL;DR
The paper develops an analytic framework to compute the one-loop gluon fusion amplitude for a pseudo-Goldstone Higgs in 5D gauge-Higgs unification, summing the entire KK quark tower via UV boundary propagators. Applying this to SO(5) models, it finds a robust, embedding-dependent suppression of the gg→h amplitude governed mainly by v/f, reproduced in corresponding 4D effective theories. The suppression is substantial for natural parameter choices and largely insensitive to the detailed KK spectrum, with implications for Higgs searches at the LHC and for constraining the symmetry-breaking scale f. The work provides practical computational tools and clarifies how shadow multiplets can affect the phenomenology of pseudo-Goldstone Higgs scenarios.
Abstract
The gluon-gluon-higgs amplitude is investigated in the context of 5D models of gauge-higgs unification. A simple algorithm allows to include, in a fully analytical way, the contribution of the whole Kaluza-Klein tower of a 5D quark to the amplitude. This algorithm is applied to realistic models based on SO(5) symmetry. Within the studied classes of models, the higgs production cross section is always suppressed.