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In this talk, we discuss the SUSY-Yukawa sum rule, a relation among massesand mixing angles of the third-generation squarks which follows directly fromthe coupling relation responsible for canceling the quadratic divergence in theHiggs mass. Radiative corrections modify the sum rule, introducing dependenceon a variety of SUSY parameters beyond the third-generation squark sector. Ifsome of those parameters are measured experimentally, a sharp prediction forthe sum rule is possible. We demonstrate this point with a quantitative study.We also discuss the prospects for measuring the ingredients of the sum rule atthe LHC, and argue that a high-energy electron-positron collider such as theILC would be necessary to test the sum rule.

SUSY-Yukawa Sum Rule at the LHC and the ILC