Little SUSY hierarchy in mixed modulus-anomaly mediation

Abstract

Motivated by the KKLT string compactification involving a supersymmetry-breaking uplifting potential, we examine 4D effective supergravity with a generic form of uplifting potential, focusing on the possibility that the resulting mixed modulus-anomaly mediated soft terms realize the little hierarchy between the Higgs boson masses $m_H$ and the sparticle masses $m_{SUSY}$. It is noted that for some type of uplifting potential, the anomaly-mediated contribution to $m_H^2$ at $M_{GUT}$ can cancel the subsequent renormalization group evolution of $m_H^2$ down to TeV scale, thereby the model can naturally realize the little hierarchy $m_H^2\sim m_{SUSY}^2/8\pi^2$ which is desirable for the lightest Higgs boson mass to satisfy the experimental bound. In such models, the other Higgs mass parameters $\mu$ and $B$ can have the desirable size $\mu \sim B \sim m_H$ without severe fine-tuning of parameters, although the gravitino is much heavier than the Higgs boson. Those models for the little hierarchy avoid naturally the dangerous SUSY flavor and CP violations, and predict nearly degenerate low energy gaugino masses, pure Higgsino LSP, and also a specific relation between the stop and gaugino masses.Comment: revtex4, 16 page

String theoretic QCD axion with stabilized saxion and the pattern of supersymmetry breaking

“…As a result, the soft SUSY breaking terms of visible fields receive comparable contributions from moduli mediation and anomaly mediation [16], leading to the mirage mediation pattern of superparticle masses discussed in [20,21,22,23]. We also find the modulino and axino masses are given by…”

Analysis of the TeV-scale mirage mediation with heavy superparticles

“…Note that ln (M p /m 3/2 ) ∼ O 8π 2 and compensate the loop suppression factors appeared in the anomaly mediated contributions. α = 1 is realized in the original KKLT-setup [28], but various rational values can be obtained in the similar setups [8,9,29,30]. An important fact is that α could be determined by rational parameters, such as the winding number of D-branes and the number of fluxes which generates moduli potential.…”

“…A remarkable feature of the mirage mediation is the unification of some parameters at the low scale (mirage unification) [8][9][10]. Assuming that the moduli-mediation contributions satisfy…”

“…The unification scale, namely mirage scale, is given by 8) and the soft parameters at M mir are estimated as…”

“…As pointed out in refs. [8,9], the sub-leading corrections to the mass squared become important for parameters that vanish at the tree-level. Hence, we assume that m 2 H u,d is small but not vanishing at the mirage scale:…”