Reconstruction of supersymmetric theories at high energy scales

Abstract

The reconstruction of fundamental parameters in supersymmetric theories requires the evolution to high scales, where the characteristic regularities in mechanisms of supersymmetry breaking become manifest. We have studied a set of representative examples in this context: minimal supergravity and a left-right symmetric extension; gauge mediated supersymmetry breaking; and superstring effective field theories. Through the evolution of the parameters from the electroweak scale the regularities in different scenarios at the high scales can be unravelled if precision analyses of the supersymmetric particle sector at e + e − linear colliders are combined with analyses at the LHC.

Physics impact of a precise determination of the top quark mass at an e+e−linear collider

“…The value of A t at the GUT scale is in this example −51 GeV. The same experimental errors as given in [64] are assumed. This holds except for m h as discussed above, and we also assume more conservatively that the trilinear couplings in theb and τ sector A b and A τ can be determined within 30%.…”

“…The new ingredient with respect to refs. [63,64] is that we include here the effect of the uncertainty of the top mass and all trilinear couplings. The effects of the m t error are: (i) the top Yukawa coupling gets changed and this affects the RGE running of several other parameters, such as y b , A t , M 2 Q 3 , M 2 U 3 and M 2 H 2 (the mass parameter of the second Higgs doublet); (ii) m t enters directly the calculation of the stop masses; (iii) m t enters the loop-corrected relations between third-generation squark masses, chargino masses, neutralino masses, the gluino mass, the Higgs masses and the underlying parameters in the lagrangian.…”

“…[63,64]. In [63,64] it has been assumed that m t is known with δm t = 0.1 GeV accuracy. In the following we will study the situation if m t is known less precisely.…”

Bigger, better, faster, more at the LHC

“…Most of these studies study how to discovery a specific theory, e.g. the mSUGRA parameterization of the minimal supersymmetric Standard Model (MSSM) [20,21] (see [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40] for other specific supersymmetric spectra), Universal Extra Dimensions (UED)s [41,42] or Little Higgs theories [43][44][45][46][47][48][49][50][51][52]. These searches present generally optimistic results for each specific theory, but different theories, even within the SSM may exhibit different signatures, [53].…”