Eur. Phys. J. C (2013) 73: 2611
https://doi.org/10.1140/epjc/s10052-013-2611-7

Regular Article - Theoretical Physics

Non-universalities in pure gravity mediation

¹ William I. Fine Theoretical Physics Institute, School of Physics and Astronomy, University of Minnesota, Minneapolis, MN, 55455, USA
² ICRR, University of Tokyo, Kashiwa, 277-8582, Japan
³ Kavli IPMU (WPI), TODIAS, University of Tokyo, Kashiwa, 277-8583, Japan

^* e-mail: jlevans@umn.edu

Received: 28 June 2013
Revised: 10 August 2013
Published online: 19 October 2013

Abstract

The simplest model of pure gravity mediation contains only two free parameters: the gravitino mass and tanβ. Scalar masses are universal at some high energy renormalization scale and gaugino masses are determined through anomalies and depend on the gravitino mass and the gauge couplings. This theory requires a relatively large gravitino mass (m _3/2≳300 TeV) and a limited range in tanβ≃1.7–2.5. Here we generalize the theory to allow for non-universality in the Higgs soft masses. This introduces zero, one or two new free parameters associated with Higgs soft masses. This generalization allows us to greatly increase the allowed range in tanβ and it allows one to find viable solutions with lower m _3/2. The latter is important if we hope to find a low energy signal from gluinos. Some special cases of these non-universalities are suggestive of Higgs bosons as Nambu–Goldstone bosons or a partial no-scale structure for the Higgs doublets. Thus, we probe signatures at the weak scale and structures at the GUT and/or Planck scale.