Abstract
We study cosmological constraints in the context of $R$-parity violating MFV SUSY and find it is driven to $\tan(\beta)\approx1$. These constraints are from two sources: first from the requirement that baryon number violation not undo baryogenesis and second that the flux of decay products from gravitino dark matter not exceed that observed by experiments such as PAMELA and Fermi LAT. The latter discussion favors relatively low gravitino masses of a few GeV.
Highlights
We find that there are two observations which provide significant constraints
We study cosmological constraints in the context of R-parity violating MFV SUSY and find it is driven to tan(β) ≈ 1
These constraints are from two sources: first from the requirement that baryon number violation not undo baryogenesis and second that the flux of decay products from gravitino dark matter not exceed that observed by experiments such as PAMELA and Fermi LAT
Summary
Any quantum number which is odd under CP T will be rapidly driven to zero in thermal equilibrium if it is not strictly conserved. For w = 10−1 this implies tan(β) 4 This is quite significant since the requirement that the top Yukawa coupling yt not become non-perturbatively large above the electroweak scale gives tan(β) 1.2 [10]. This constraint is quite important since MFV models are usually considered with large tan(β) to provide more realistic collider scenarios. The baryogenesis constraint can be avoided either in part or entirely in any scenario in which baryon number is generated at or below the electroweak phase transition. In other scenearios in which baryon number is generated above the electroweak phase transition such as thermal leptogenesis, this constraint remains quite severe
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