  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.
