Landscape Higgs boson and sparticle mass predictions from a logarithmic soft term distribution

Howard Baer,Shadman Salam,Dibyashree Sengupta,Vernon Barger

doi:10.1103/physrevd.103.035031

Abstract

Recent work on calculating string theory landscape statistical predictions for the Higgs and sparticle mass spectrum from an assumed power-law soft term distribution yields an expectation for m(h)~ 125 GeV with sparticles (save light higgsinos) somewhat beyond reach of high-luminosity LHC. A recent examination of statistics of SUSY breaking in IIB string models with stabilized moduli suggests a power-law for models based on KKLT stabilization and uplifting while models based on large-volume scenario (LVS) instead yield an expected logarithmic soft term distribution. We evaluate statistical distributions for Higgs and sparticle masses from the landscape with a log soft term distribution and find the Higgs mass still peaks around ~125 GeV with sparticles beyond LHC reach, albeit with somewhat softer distributions than those arising from a power-law.

Highlights

The cosmological constant problem—how can it be that the numerical value of Λcc is more than 120 orders of magnitude less than its expected theoretical value [1]— finds a compelling resolution within the landscape of string vacua [2] coupled to anthropic reasoning [3]
A recent examination of the statistics of supersymmetry breaking in IIB string models with stabilized moduli suggests a power law for models based on Kachru-Kallosh-Linde-Trivedi stabilization and uplifting, while models based on the large-volume scenario instead yield an expected logarithmic soft term distribution
We evaluate statistical distributions for the Higgs boson and sparticle masses from the landscape with a log soft term distribution and find the Higgs mass still peaks around ∼125 GeV with sparticles beyond the LHC reach, albeit with somewhat softer distributions than those arising from a power law

Summary

INTRODUCTION

The cosmological constant problem—how can it be that the numerical value of Λcc is more than 120 orders of magnitude less than its expected theoretical value [1]— finds a compelling resolution within the landscape of string vacua [2] coupled to anthropic reasoning [3]. The idea is that, with, say, ∼10500 string vacua states [4,5], each leading to different 4 − d laws of physics and with a rather uniform distribution of Λcc ranging from m2P to values well below 10−120m2P, it may not be surprising to find ourselves living within a pocket universe (within the eternally inflating multiverse) with such a small Λcc since if its value was much larger, the expansion rate would be so great that galaxy (structure) formation would not occur [6] Such anthropic reasoning works if we posit, in addition, that our pocket universe is but one within a fertile/friendly patch wherein the Standard Model (SM) is. An explanation for the magnitude of the weak scale can be found within the string landscape wherein something like the MSSM forms the low energy 4 − d EFT In this case, one again assumes a fertile patch of vacua wherein just the soft SUSY breaking terms scan between different pocket universes [12]. The pocketuniverse value of the weak scale is given (in terms of the Z mass) by

Published by the American Physical Society

RESULTS

Probability distributions for terms in the string landscape

This quantity is relevant to light

Grav logðmsoftÞ This paper

CONCLUSIONS