Effects of Sfermion Mixing induced by RGE Running in the Minimal Flavor Violating CMSSM

TL;DR

This study investigates how intergenerational squark mixing, induced by RGE running in the CMSSM with MFV, affects various observables, revealing significant impacts on electroweak precision tests but minimal effects on B-physics and Higgs mass predictions.

Contribution

It provides a detailed analysis of RGE-induced sfermion mixing effects on observables within the CMSSM, including extensions with neutrino mass mechanisms, highlighting potential new bounds on model parameters.

Findings

EWPO such as W boson mass can be significantly affected.

B-physics observables and Higgs mass are largely unaffected.

Slepton mixing effects are smaller but can reach experimental uncertainties.

Abstract

Within the Constrained Minimal Supersymmetric Standard Model (CMSSM) with Minimal Flavor Violation (MFV) for scalar quarks we study the effects of intergenerational squark mixing on $B$-physics observables, electroweak precision observables (EWPO) and the Higgs boson mass predictions. Squark mixing is generated through the Renormalization Group Equations (RGE) running from the GUT scale to the electroweak scale due to presence of non diagonal Yukawa matrices in the RGE's, e.g. due to the CKM matrix. We find that the $B$-Physics observables as well as the Higgs mass predictions do not receive sizable corrections. On the other hand, the EWPO such as the $W$ boson mass can receive corrections by far exceeding the current experimental precision. These contributions can place new upper bounds on the CMSSM parameter space. We extend our analysis to the CMSSM extended with a mechanism to explain neutrino masses (CMSSM-seesaw I), which induces flavor violation in the scalar lepton sector. Effects from slepton mixing on the analyzed observables are in general smaller than from squark mixing, but can reach the level of the current experimenal uncertainty for the EWPO.