Experimental probes of the recently discovered Higgs boson show that its behavior is close to that of the Standard Model (SM) Higgs particle. Extensions of the SM which include extra Higgs bosons are constrained by these observations, implying either the decoupling of the heavy non-standard Higgs particles or the realization of alignment, associated with vanishing mixing of the SM-like Higgs boson with the non-standard ones. Quite generally, alignment is not enforced by symmetry considerations and hence it is interesting to look for dynamical ways in which this condition can be realized. We show that this is possible in the Next-to-Minimal Supersymmetric Standard Model (NMSSM), in which alignment is achieved for values of the coupling of the Higgs fields to the singlet field that become large close to the Grand Unification (GUT) scale. This, in turn, can be explained by the composite nature of the Higgs fields, with a compositeness scale close to the GUT scale. In this article we present this dynamical scenario and discuss its phenomenological properties.This paper is structured as follows. In Section II, we review the alignment limit of the NMSSM and the relevant conditions on the parameters necessary for alignment. In Section III, we present results from the running of the NMSSM parameters and examine the range of GUT-scale parameter values for which alignment is obtained in the doublet and singlet sectors. We then present an implementation of a Fat Higgs theory which runs down to alignment at the weak scale in Section IV. In Section V, we examine the bottom-and tau-Yukawa unification for our set of low-energy parameters. Finally, in Section VI we present our conclusions.
II. THE ALIGNMENT LIMIT OF THE NMSSMWithin the NMSSM Higgs sector, which contains two doublets and a singlet, there are two methods through which one may obtain a SM-like Higgs of 125 GeV: decoupling and alignment. In the decoupling case, the heavier non-standard Higgs bosons are pushed to high masses, such that the mixing with the SM-like Higgs boson is suppressed. In the case of alignment, the parameters of the Higgs sector are such that the mixing terms of the squared-mass matrix between the SM-like Higgs boson and the neutral, non-SM-like one and singlet are small. More specifically, if we work in the Higgs basis [16,17] in which only one of the doublets acquires a vacuum expectation value and hence is aligned with the SM Higgs doublet, here denoted by the subscript 1, the symmetric CP-even Higgs mass-squared matrix is given generally by M 2 = M 2 11 M 2 12 M 2 13 M 2 22