Renormalization effects on the MSSM from a calculable model of a strongly coupled hidden sector

Abstract

We investigate possible renormalization effects on the low energy mass spectrum of the minimal supersymmetric standard model (MSSM), using a calculable model of strongly coupled hidden sector. We model the hidden sector by N = 2 supersymmetric quantum chromodynamics with gauge group SU (2) × U (1) and N f = 2 matter hypermultiplets, perturbed by a Fayet-Iliopoulos term which breaks the supersymmetry down to N = 0 on a meta-stable vacuum. In the hidden sector the Kähler potential is renormalized. Upon identifying a hidden sector modulus with the renormalization scale, and extrapolating to the strongly coupled regime using the Seiberg-Witten solution, the contribution from the hidden sector to the MSSM renormalization group flows is computed. For concreteness, we consider a model in which the renormalization effects are communicated to the MSSM sector via gauge mediation. In contrast to the perturbative toy examples of hidden sector renormalization studied in the literature, we find that our strongly coupled model exhibits rather intricate effects on the MSSM soft scalar mass spectrum, depending on how the hidden sector fields are coupled to the messenger fields. This model provides a concrete example in which the low energy spectrum of MSSM particles that are expected to be accessible in collider experiments is obtained using strongly coupled hidden sector dynamics.

Heavy superpartners with less tuning from hidden sector renormalisation

“…While it is possible to study the effects of a particular model of the hidden sector, similarly to [12], we take an alternative approach and parameterise the impact of running through a strong coupling regime. This is done by turning on large anomalous dimensions for some operators in the energy region of strong coupling.…”

“…In this paper, we show that the fine tuning with respect to the mass of the superpartners, at the assumed ultraviolet (UV) boundary of the renormalisation group (RG) flow, can be substantially reduced through the effects of hidden sector renormalisation, first studied in [1][2][3], and later expanded on in [4][5][6][7][8][9][10][11][12]. This is an effect where the RG flow of MSSM scalar soft masses may be significantly modified by the details of the hidden SUSY breaking sector.…”