Abstract
We study CP-conserving rare flavor violating processes in the recently proposed theory of Maximally Natural Supersymmetry (MNSUSY). MNSUSY is an unusual supersymmetric (SUSY) extension of the Standard Model (SM) which, remarkably, is un-tuned at present LHC limits. It employs Scherk-Schwarz breaking of SUSY by boundary conditions upon compactifying an underlying 5-dimensional (5D) theory down to 4D, and is not well-described by softly-broken $\mathcal{N}=1$ SUSY, with much different phenomenology than the Minimal Supersymmetric Standard Model (MSSM) and its variants. The usual CP-conserving SUSY-flavor problem is automatically solved in MNSUSY due to a residual almost exact $U(1)_R$ symmetry, naturally heavy and highly degenerate 1st- and 2nd-generation sfermions, and heavy gauginos and Higgsinos. Depending on the exact implementation of MNSUSY there exist important new sources of flavor violation involving gauge boson Kaluza-Klein (KK) excitations. The spatial localization properties of the matter multiplets, in particular the brane localization of the 3rd generation states, imply KK-parity is broken and {\it tree-level} contributions to flavor changing neutral currents are present in general. Nevertheless, we show that simple variants of the basic MNSUSY model are safe from present flavor constraints arising from kaon and $B$-meson oscillations, the rare decays $B_{s,d} \to \mu^+ \mu^-$, $\mu \to {\bar e}ee$ and $\mu$-$e$ conversion in nuclei. We also briefly discuss some special features of the radiative decays $\mu \to e \gamma$ and ${\bar B}\to X_s \gamma$. Future experiments, especially those concerned with lepton flavor violation, should see deviations from SM predictions unless one of the MNSUSY variants with enhanced flavor symmetries is realized.
Highlights
We study CP-conserving rare flavor violating processes in the recently proposed theory of Maximally Natural Supersymmetry (MNSUSY)
We have found in this work that rare CP-conserving flavor violating processes provide an important window onto the structure of the recently proposed theory of Maximally Natural Supersymmetry
Quite generally in MNSUSY we find that flavor violation
Summary
We will only review the basic aspects of the MNSUSY framework relevant for our study. The structure of MNSUSY, as presented in [8], is such that the gauge and Higgs sectors propagate in the 5D bulk of the extra dimension, together with the 1st and 2nd family of matter hypermultiplets. By localizing the 3rd generation of matter in the y = 0 brane we are introducing an explicit source of KK-parity violation immediately into the SM-charged sector, for we are introducing interaction terms in the y = 0 brane that are not mirrored in the y = πR brane This structure implies that there is an N = 2 vector superfield for each gauge group, two Higgs hypermultiplets Hu = {Hu, Huc} and Hd = {Hd, Hdc} and 5 hypermultiplets (corresponding to Qi, U i, Di, Li and Ei) for each of the first two families of matter fields, that we refer to as F1,2 = (F1,2, F1c,2). It will be important that for the bulk superpartners this leads to a parametrically small contribution compared to the direct SSSB term, see section 3.1
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