Scalar-Top Masses from SUSY Loops with 125 GeV mh and precise Mw, mt

TL;DR

This paper constrains scalar-top masses in Natural SUSY models by analyzing precision measurements of the W-boson mass and Higgs boson mass, using advanced 3-loop calculations and RGE evolution.

Contribution

It provides a novel analysis linking Higgs mass, W-boson mass, and stop masses within Natural SUSY using high-order loop calculations and GUT-scale RGE evolution.

Findings

Stop mass splitting exceeds 400 GeV

Maximal off-diagonal stop mass-matrix elements implied

Constraints consistent with a 125 GeV Higgs and precise W mass

Abstract

We constrain the masses of scalar-tops (stop) by analyzing the new precision Tevatron measurement of the W-boson mass and the LHC/Tevatron indications of a Higgs boson of mass 125.5+-1 GeV. Our study adopts Natural SUSY with low fine-tuning, which has multi-TeV first and second generation squarks and a light Higgsino mixing parameter mu=150 GeV. An effective Lagrangian calculation is made of mh to 3-loops using the H3m program with weak scale SUSY parameters obtained from RGE evolution from the GUT scale in the Natural SUSY scenario. The SUSY radiative corrections to the Higgs mass imply maximal off-diagonal elements of the stop mass-matrix and a mass splitting of the two stops larger than 400 GeV.