Muon g-2, dark matter and the Higgs mass in no-scale supergravity

We discuss the phenomenology of no-scale supergravity (SUGRA), in which the universal scalar mass is zero at the high scale, focussing on the recently updated muon g-2 measurement, and including dark matter and the correct Higgs boson mass. Such no-scale supergravity scenarios arise naturally from string theory and are also inspired by the successful Starobinsky inflation, with a class of minimal models leading to a strict upper bound on the gravitino mass m(3/2) < 10(3) TeV. We perform a Monte Carlo scan over the allowed parameter space, assuming a mixture of pure gravity mediated and universal gaugino masses, using the SPheno package linked to FeynHiggs, MicrOmegas and CheckMate, displaying the results in terms of a Likelihood function. We present results for zero and non-zero trilinear soft parameters, and for different signs of gaugino masses, giving a representative set of benchmark points for each viable region of parameter space. We find that, while no-scale SUGRA can readily satisfy the dark matter and Higgs boson mass requirements, consistent with all other phenomenological constraints, the muon g-2 measurement may be accommodated only in certain regions of parameter space, close to the LHC excluded regions for light sleptons and charginos. (C) 2022 The Author(s). Published by Elsevier B.V.

Automated summary

We discuss the phenomenology of no-scale supergravity, a theory that arises naturally from string theory and proposes zero scalar mass at a high energy scale. We focus on the recently updated muon g-2 measurement, dark matter, and the correct Higgs boson mass. We find that while no-scale SUGRA can satisfy the dark matter and Higgs boson mass requirements, the muon g-2 measurement may only be accommodated in certain regions of parameter space.