Abstract
Abstract In supersymmetric models with minimal particle content and without large left-right squarks mixing, the conventional knowledge is that the Higgs Boson mass around 125 GeV leads to top squark masses O ( 10 ) TeV , far beyond the reach of colliders. Here, we pointed out that this conclusion is subject to several theoretical uncertainties. We find that electroweak symmetry breaking and evaluation of Higgs mass at a scale far away from the true electroweak symmetry breaking scale introduce a large uncertainty in Higgs mass calculation. We show that the electroweak symmetry breaking at the scale near the true vacuum expectation value of Higgs field can increase the Higgs Boson mass about 4–5 GeV and can lower the bounds on squarks and slepton masses to 1 TeV. Here we pointed out that the Higgs mass even with inclusion of radiative corrections can vary with electroweak symmetry breaking scale. We calculate it at two loop level and show that it varies substantially. We argue that Higgs mass like other coupling parameters can vary with energy scale and the Higgs potential with all orders loop corrections is scale invariant. This uncertainty to the Higgs mass calculation due to electroweak symmetry breaking around the supersymmetry breaking scale, normally taken as m t ˜ L m t ˜ R , to minimize the 1-loop radiative corrections can be removed if one considers all significant radiative contributions to make Higgs potential renormalization group evolution scale invariant and evaluates electroweak symmetry breaking at the scale near the electroweak symmetry breaking scale. A large parameter space becomes allowed when one considers electroweak symmetry breaking at its true scale not only for producing correct values of the Higgs masses, but also for providing successful breaking of this symmetry in more parameter spaces.
Highlights
The discovery of Higgs Boson at ATLAS [1] and CMS [2] leads to Higgs mass calculation an important subject of impressive precision studies
We first pointed out that electroweak symmetry breaking (EWSB) and calculation of mh at the renormalization group evolution (RGE) scale far away from the EWSB scale (which might be close to the vacuum expectation value (VEV) of Higgs field) introduce a large uncertainty in mh calculation
We pointed out that the Higgs mass even with inclusion of radiative corrections can vary with electroweak symmetry breaking scale
Summary
The discovery of Higgs Boson at ATLAS [1] and CMS [2] leads to Higgs mass (mh) calculation an important subject of impressive precision studies. The large radiative corrections which are function of masses and couplings of supersymmetric theories have direct implications on the discovery prospects of supersymmetry at colliders. There are many theoretical uncertainties in mh calculation and it needs to improve them for definite conclusion for the discovery prospect of supersymmetry at LHC. = allowed parameter The EWSB is csponacsiedienresdupaetrsQyEmWme=tr√icmmtoLdmeltsR. It has been shown in [10] that the RGE scale dependence of the Higgs potential becomes negligible if one adds the dominant two loop corrections O(αtαs + α2t ) to the Higgs potential and it enables one to calculate EWSB and Higgs masses at any scale other than the scale where the 1-loop corrections to the Higgs potential is negligible
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