Mirage mediation from the landscape

Abstract

Rather general considerations from the string theory landscape suggest a statistical preference within the multiverse for soft SUSY breaking terms as large as possible subject to a pocket universe value for the weak scale not greater than a factor of 2-5 from our measured value. Within the gravity/moduli-mediated SUSY breaking framework, the Higgs mass is pulled to m h 125 GeV while first/second generation scalars are pulled to tens of TeV scale and gauginos and third generation scalars remain at the few TeV range. In this case, one then expects comparable moduli-and anomaly-mediated contributions to soft terms, leading to mirage mediation. For an assumed stringy natural value of the SUSY µ parameter, we evaluate predicted sparticle mass spectra for mirage mediation from a statistical scan of the string landscape. We then expect a compressed spectrum of gauginos along with a higgsino-like LSP. For a linear (quadratic) statistical draw with gravitino mass m 3/2 ∼ 20 TeV, then the most probable mirage scale is predicted to be around µ mir ∼ 10 13 (10 14 ) GeV. SUSY should appear at high-luminosity LHC via higgsino pair production into soft dilepton pairs. Distinguishing mirage mediation from models with unified gaugino masses may have to await construction of an ILC with √ s > 2m(higgsino). *

Radiative natural supersymmetry emergent from the string landscape

“…7. The plot does show why the event generator runs with f EW SB = Θ(30 − ∆ EW ) gives a good representation of expected superparticle and Higgs mass spectra in scans over the landscape of string vacua [17,19,20].…”

“…For the soft term distribution f SU SY (m sof t ), positive power law [13][14][15][16] or log [17] distributions pull soft terms to large values and seem favored by LHC SUSY search results [17][18][19][20]. In contrast, negative power law distributions, as expected in dynamical SUSY breaking where all SUSY breaking scales would be equally favored [21][22][23], or large-volume scenario (LVS) compactifications [16]would lead to sparticle masses below LHC limits and light Higgs boson masses much lighter than the measured value m h ∼ 125 GeV [24].…”

“…Coupling the ABDS requirement with a mild log or power-law draw to large soft terms, then the probability distributions for sparticle and Higgs masses can be computed. It has then been found that the light Higgs mass distribution dP/dm h rises to a peak at m h ∼ 125 GeV whilst sparticle masses are lifted beyond present LHC search limits [17][18][19][20] (see Ref. [28] for a recent review).…”

String landscape guide to soft SUSY breaking terms

“…The above Eq. (3) has been used to generate statistical distributions for Higgs and sparticle masses as expected from the string theory landscape for various assumed values of n ¼ 0-4, for assumed gravity-mediation model NUHM3 [16], and also for generalized mirage mediation [22]. For values n ≥ 1, there is a statistical pull on m h to a peak at m h ≃ 125 GeV in agreement with the measured value of the Higgs boson mass.…”

Diluting SUSY flavour problem on the Landscape

“…Large number of sequestered hidden sectors have also been considered recently in [19][20][21], in models with multiple (pseudo)goldstini. Other works which have addressed supersymmetric soft spectrum phenomenology from the landscape following [22] include [23][24][25][26].…”