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Are supersymmetric models with minimal particle content under tension\n for testing at LHC?

2014/11/25 by Abhijit Samanta, Samanta, Abhijit, Sujoy Kumar Mandal +3
Physics and Astronomy · Computer Science · #Particle physics theoretical and experimental studies #Computational Physics and Python Applications #Particle Detector Development and Performance

paper · pdf · doi:10.48550/arxiv.1411.6855

Abstract

In supersymmetric models with minimal particle content and without large\nleft-right squarks mixing, the conventional knowledge is that the Higgs Boson\nmass around 125 GeV leads to top squark masses cal O(10) TeV, far beyond\nthe reach of colliders. Here, we pointed out that this conclusion is subject to\nseveral theoretical uncertainties. We find that electroweak symmetry breaking\nand evaluation of Higgs mass at a scale far away from the true electroweak\nsymmetry breaking scale introduce a large uncertainty in Higgs mass\ncalculation. We show that the electroweak symmetry breaking at the scale near\nthe true vacuum expectation value of Higgs field can increase the Higgs Boson\nmass about 4-5 GeV and can lower the bounds on squarks and slepton masses to 1\nTeV. Here we pointed out that the Higgs mass even with inclusion of radiative\ncorrections can vary with electroweak symmetry breaking scale. We calculate it\nat two loop level and show that it varies substantially. We argue that Higgs\nmass like other coupling parameters can vary with energy scale and the Higgs\npotential with all orders loop corrections is scale invariant. This uncertainty\nto the Higgs mass calculation due to electroweak symmetry breaking around the\nsupersymmetry breaking scale, normally taken as \√m tL m ntR, to minimize the 1-loop radiative corrections can be removed if one\nconsiders all significant radiative contributions to make Higgs potential\nrenormalization group evolution scale invariant and evaluates electroweak\nsymmetry breaking at the scale near the electroweak symmetry breaking scale. A\nlarge parameter space becomes allowed when one considers electroweak symmetry\nbreaking at its true scale not only for producing correct values of the Higgs\nmasses, but also for providing successful breaking of this symmetry in more\nparameter spaces.\n

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