NMSSM From Generalized Deflected AMSB And Related Phenomenology

Since Higgs boson has been found in 2012,Standard Model achieved a lot of success.All the particles on the SM spectrum has been found and most of them has the properties just as theory expect.However there are still some of the phenomena that are not expected.Like the neutrinos,which are not suppose to have mass in theory,are proved to have little mass in experiment.And the muon magnetic dipole moment anomaly has over 3σ discrepancy between theoretical prediction and the experimental measure.And the fine-tuning problem of Higgs mass as well.Now we generally accept that perhaps SM is just an effective theory under the scale of EW.With the improvement of the scale,at most Plank scale,there must be new theory exist when the effect of gravity cannot be neglected anymore.But in fact,if there is not any new physics between these two scales is quite weird.Besides,in cosmologic experiment,there exist lots of facts that the classic Newton gravity theory cannot cover,like the rotation curve of the galaxies,the phenomena seen by gravitational lensing that in a certain galaxies,the dark matter distribution dose not match with that of ordinary matters.These can be explained by the existence of the dark matter while we have never detected it directly or indirectly.We know nothing about dark matter.All the clues above indicate that there are lots of troubles to be solved in particle physics and there must be new physics.And now the most welcome new physics model is Supersymmetry standard model,which propose a symmetry between fermions and bosons called supersymmetry.This theory can solve many problems in the SM elegantly and provide a very powerful candidate for the dark matter.The most simple version minimal supersymmetry standard model(MSSM)has a notorious μ-problem,which can be neatly solved by the Next-to-the-minimal supersymmetry standard model(NMSSM).In the meantime,due to the additional tree level contribution in the Higgs sector,it can be more easily to improve the SM-like Higgs mass than MSSM.But the crucial problem is that this promising theory has paramaters over a hundred.We try to establish a mechanism to find the connection between them.This article try to realize NMSSM through deflected AMSB with messenger-matter interaction.We can generate a quite natural NMSSM spectrum and study its phenomenology.This article introduce messenger-matter interaction in deflected AMSB,to calculate the soft SUSY spectrum analytic expression,like soft breaking mass of the sparticles,the trilinear couples and so on.Then we scan the whole parameter space in order to find the region which can sole the problem of muon magnetic dipole moment anomaly,and can satisfy all the other experimental constrains,and also need the Baberi-Giudice fine tuning as small as possible to obtain a natural theory.The final result well be shown in the form of figure and chart.