OPE methods for the holomorphic Higgs portal

Abstract

We develop a systematic and general approach to study the effective Higgs Lagrangian in a supersymmetric framework in which the Higgs fields in the visible sector couple weakly to another sector. The extra sector may be strongly coupled in general. It is assumed to be superconformal in the ultraviolet, but develop a mass-gap with supersymmetry breaking in the infrared. The main technique used in our approach is that of the operator product expansion (OPE). By using OPE methods we are able to compute the parameters in the Higgs Lagrangian to quadratic order and make general statements that are applicable to many classes of models. Not only does this approach allow us to understand the traditional problems plaguing simple models from a different perspective, it also reveals new possibilities for solutions of these problems. The methods and results of our work should be useful in constructing a viable and natural model of physics beyond the Standard Model.

Status and Implications of Beyond-the-Standard-Model Searches at the LHC

“…For example, since the Higgs discovery, much effort has been devoted to extending GMSB models to realize large A-terms (111)(112)(113)(114)(115)(116)(117)(118)(119)(120)(121). Such models, although often still out of reach of the 7-8-TeV LHC, could be accessible at 14 TeV.…”

Two-point functions of conformal primary operators in N $$ \mathcal{N} $$ = 1 superconformal theories

“…From the superconformal two-and three-point functions one can also extract the operator product expansion, and use it to explore the phenomenology of models of supersymmetry breaking with a superconformal hidden sector in the ultraviolet [22][23][24]. In addition to direct physical applications, the coefficients in the component correlation functions expose rich structures of SCFTs.…”

Analysis of the strong coupling form factors of Σ b NB and Σ c ND in QCD sum rules

“…In this regard, the strong coupling constants associated with heavy baryons play an important role in describing the strong interaction among the heavy baryons and other participating hadrons. In addition, the properties of B and D mesons in the nuclear medium are closely related to their interactions with the nucleons [23][24][25] . From these processes, we can see that it is important to know the values of the related strong coupling constants G Σ b N B and G Σc N D , which are essential to determine the modifications of the masses, decay constants and other parameters of the B and D mesons in the nuclear medium.…”