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Grand Unified Theories (GUTs) can feature predictions for the ratios of quarkand lepton Yukawa couplings at high energy, which can be tested with theincreasingly precise results for the fermion masses, given at low energies. Toperform such tests, the renormalization group (RG) running has to be performedwith sufficient accuracy. In supersymmetric (SUSY) theories, the one-loopthreshold corrections (TC) are of particular importance and, since they affectthe quark-lepton mass relations, link a given GUT flavour model to thesparticle spectrum. To accurately study such predictions, we extend andgeneralize various formulas in the literature which are needed for a precisionanalysis of SUSY flavour GUT models. We introduce the new software tool SusyTC,a major extension to the Mathematica package REAP, where these formulas areimplemented. SusyTC extends the functionality of REAP by a full inclusion ofthe (complex) MSSM SUSY sector and a careful calculation of the one-loop SUSYthreshold corrections for the full down-type quark, up-type quark and chargedlepton Yukawa coupling matrices in the electroweak-unbroken phase. Among otheruseful features, SusyTC calculates the one-loop corrected pole mass of thecharged (or the CP-odd) Higgs boson as well as provides output in SLHAconventions, i.e. the necessary input for external software, e.g. forperforming a two-loop Higgs mass calculation. We apply SusyTC to study thepredictions for the parameters of the CMSSM (mSUGRA) SUSY scenario from the setof GUT scale Yukawa relations $y_e / y_d = - 1/2$, $y_\mu / y_s = 6$, and$y_\tau / y_b = - 3/2$, which has been proposed recently in the context of SUSYGUT flavour models.

Predicting the Sparticle Spectrum from GUTs via SUSY Threshold Corrections with SusyTC