Abstract
Abstract Measurements of the Higgs-boson production cross section at the LHC are an important tool for studying electroweak symmetry breaking at the quantum level, since the main production mechanism gg → h is loop-suppressed in the Standard Model (SM). Higgs production in extra-dimensional extensions of the SM is sensitive to the Kaluza-Klein (KK) excitations of the quarks, which can be exchanged as virtual particles in the loop. In the context of the minimal Randall-Sundrum (RS) model with bulk fields and a brane-localized Higgs sector, we derive closed analytical expressions for the gluon-gluon fusion process, finding that the effect of the infinite tower of virtual KK states can be described in terms of a simple function of the fundamental (5D) Yukawa matrices. Given a specific RS model, this will allow one to easily constrain the parameter space, once a Higgs signal has been established. We explain that discrepancies between existing calculations of Higgs production in RS models are related to the non-commutativity of two limits: taking the number of KK states to infinity and removing the regulator on the Higgs-boson profile, which is required in an intermediate step to make the relevant overlap integrals well defined. Even though the one-loop gg → h amplitude is finite in RS scenarios with a brane-localized Higgs sector, it is important to introduce a consistent ultraviolet regulator in order to obtain the correct result.
Highlights
Pave the way to probing models of new physics
We explain that discrepancies between existing calculations of Higgs production in RS models are related to the non-commutativity of two limits: taking the number of KK states to infinity and removing the regulator on the Higgs-boson profile, which is required in an intermediate step to make the relevant overlap integrals well defined
We will concentrate on studying the effects of KK excitations on the production of a Standard Model (SM)-like Higgs boson in the context of the simplest RS model containing bulk fermions and a minimal scalar sector localized on the IR brane
Summary
The quantities Cn(A)(t) and Sn(A)(t) with A = Q, u, d are diagonal 3 × 3 matrices in flavor space, which contain the Z2-even and odd fermion profiles along the extra dimension, respectively These can be expressed in terms of combinations of Bessel functions, whose rank depends on the bulk mass parameters cQ = MQ/k and cu,d = −Mu,d/k of the 5D fermion fields [2, 3]. It is possible to take the limit η → 0 corresponding to a brane-localized Higgs boson, drop the Yukawa couplings in the bulk EOMs (2.7) and (2.8), and impose the mixed boundary conditions on the IR brane, i.e., at t = 1−, where 1− denotes a point infinitesimally to the left of the IR brane.. For the discussion in other parts of our paper, it will be necessary to keep the regulator η non-zero until the sum over the tower of KK modes has been performed
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
