Lower limit on the gravitino mass in low-scale gauge mediation with $m_H\simeq 125$GeV

TL;DR

This paper examines the constraints on gravitino mass in low-scale gauge mediation models, showing it cannot be smaller than about 1 eV, consistent with recent cosmological observations and Higgs mass requirements.

Contribution

It identifies a lower limit on gravitino mass in low-scale gauge mediation models that satisfy both Higgs mass and cosmological constraints.

Findings

Gravitino mass upper limit is about 4.7 eV from cosmological data.

Many models are excluded if squark masses are large to explain the Higgs mass.

Gravitino mass cannot be smaller than approximately 1 eV in viable models.

Abstract

We revisit low-scale gauge mediation models in light of recent observations of CMB Lensing and Cosmic Shear which put a severe upper limit on the gravitino mass, $m_{3/2} \lesssim 4.7$eV. With such a stringent constraint, many models of low-scale gauge mediation are excluded when the squark masses are required to be rather large to explain the observed Higgs boson mass. In this note, we discuss a type of low-scale gauge mediation models which satisfy both the observed Higgs boson mass and the upper limit on the gravitino mass. We also show that the gravitino mass cannot be smaller than about 1eV even in such models, which may be tested in future observations of 21 cm line fluctuations.