Soft SUSY Breaking Parameters and RG Running of Squark and Slepton Masses in Large Volume Swiss Cheese Compactifications

TL;DR

This paper explores the derivation of soft SUSY breaking parameters and the RG evolution of squark and slepton masses within large volume Swiss Cheese compactifications, linking string theory models to low-energy phenomenology.

Contribution

It introduces a novel setup with D7-branes on the big divisor and analyzes RG running of soft masses, connecting string compactifications to MSSM phenomenology.

Findings

D7-brane Wilson line moduli correspond to first two generations of squarks and sleptons.

Open-string moduli facilitate imposing FCNC constraints.

RG flow of off-diagonal squark mass matrix elements analyzed.

Abstract

We consider type IIB large volume compactifications involving orientifolds of the Swiss-Cheese Calabi-Yau WCP^4[1; 1; 1; 6; 9] with a single mobile space-time filling D3-brane and stacks of D7-branes wrapping the "big" divisor (as opposed to the "small" divisor usually done in the literature thus far) as well as supporting D7-brane fluxes. After reviewing our proposal of [1] for resolving a long-standing tension between large volume cosmology and phenomenology pertaining to obtaining a 10^12 GeV gravitino in the inflationary era and a TeV gravitino in the present era, and summarizing our results of [1] on soft supersymmetry breaking terms and open-string moduli masses, we discuss the one-loop RG running of the squark and slepton masses in mSUGRA-like models (using the running of the gaugino masses) to the EW scale in the large volume limit. Phenomenological constraints and some of the calculated soft SUSY parameters identify the D7-brane Wilson line moduli as the first two generations/families of squarks and sleptons and the D3-brane (restricted to the big divisor) position moduli as the two Higgses for MSSM-like models at TeV scale. We also discuss how the obtained open-string/matter moduli make it easier to impose FCNC constraints, as well as RG flow of off-diagonal squark mass(-squared) matrix elements.