Minimal flavor violation and the scale of supersymmetry breaking

M. Carena, A. Menon, and C. E. M. Wagner

Phys. Rev. D 79, 075025 – Published 29 April 2009

Abstract

In this paper we explore the constraints from $B$ -physics observables in supersymmetric models of minimal flavor violation, in the large $\tan β$ regime, for both low and high-scale supersymmetry breaking scenarios. We find that the rare $B$ -decays $b \to s γ$ and $B_{s} \to μ^{+} μ^{-}$ can be quite sensitive to the scale $M$ at which supersymmetry breaking is communicated to the visible sector. In the case of high scale supersymmetry breaking, we show that the additional gluino contribution to the $b \to s γ$ and $B_{s} \to μ^{+} μ^{-}$ rare decay rates can be significant for large $\tan β$ , $μ$ and $M_{3}$ . The constraints on $B_{u} \to τ ν$ are relatively insensitive to the precise scale of $M$ . We also consider the additional constraints from the present direct Higgs searches at the Tevatron in the inclusive $H / A \to τ τ$ channel, and the latest Cryogenic Dark Matter Search direct dark matter detection experiments. We find that altogether the constraints from $B$ -physics, Higgs physics, and direct dark matter searches can be extremely powerful in probing regions of supersymmetric parameter space for low $M_{A}$ and large $\tan β$ , leading to a preference for models with a lightest $C P$ -even Higgs mass close to the current experimental limit. We find interesting regions of parameter space that satisfy all constraints and can be probed by Higgs searches at the Tevatron and the LHC and by direct dark matter searches in the near future.

Received 4 February 2009

DOI:https://doi.org/10.1103/PhysRevD.79.075025

Authors & Affiliations

M. Carena^1,2, A. Menon³, and C. E. M. Wagner^2,4,5

¹Theoretical Physics Department, Fermi National Laboratory, Batavia, Illinois 60510, USA
²EFI and Department of Physics, University of Chicago, 5640 S. Ellis Avenue, Chicago, Illinois 60637, USA
³MCTP and Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
⁴HEP Division, Argonne National Laboratory, 9700 Cass Avenue, Argonne, Illinois 60439, USA
⁵KICP, University of Chicago, 5640 S. Ellis Avenue, Chicago, Illinois 60637, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand

Issue

Vol. 79, Iss. 7 — 1 April 2009

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Images

Figure 1
Variation of the gluino contribution to the $b \to s γ$ rare decay branching ratio as a function of $\tan β$ for two different sets of SUSY parameters, assuming a 20% splitting in the squark masses and a value of $M_{A} = 200 GeV$ .Reuse & Permissions
Figure 2
Feynman diagram of the t-channel $C P$ -even Higgs contribution to the spin-independent cross section.Reuse & Permissions
Figure 3
Plot of $X_{t}$ versus $μ$ , where $M_{A} = 110 GeV$ , $\tan β = 40$ , $sign (X_{t})$ negative, $M_{3} = 800 GeV$ . The green (grey) hatched region is allowed by the $B_{u} \to τ ν$ , $b \to s γ$ and $B_{u} \to μ^{+} μ^{-}$ constraints for $M \sim M_{SUSY}$ while the yellow (light grey) region is allowed by the same constraints for the $M ≃ M_{GUT}$ scenario. The region below the horizontal red (dark grey) lines has been probed by the CDMS direct dark matter detection experiment assuming that the LSP is mainly bino and $| M_{1} | = 2 | M_{2} |$ . The solid (dashed) line corresponds to a Wino mass parameter $M_{2} = 200 (500) GeV$ .Reuse & Permissions
Figure 4
Plot of $X_{t}$ versus $μ$ , where $M_{A} = 200 GeV$ , $\tan β = 55$ , $sign (X_{t})$ negative, $M_{3} = 800 GeV$ . The green (grey) hatched region is allowed by the $B_{u} \to τ ν$ , $b \to s γ$ and $B_{u} \to μ^{+} μ^{-}$ constraints for $M \sim M_{SUSY}$ while the yellow (light grey) region is allowed by the same constraints for the $M ≃ M_{GUT}$ scenario. The region below the horizontal red (dark grey) lines has been probed by the CDMS direct dark matter detection experiment assuming that the LSP is mainly bino and $| M_{1} | = 2 | M_{2} |$ . The solid (dashed) line corresponds to a Wino mass parameter $M_{2} = 200 (500) GeV$ .Reuse & Permissions
Figure 5
Plot of $M_{A}$ versus $\tan β$ , where $X_{t} = - 400 GeV$ , $μ = 800 GeV$ and $M_{3} = 800 GeV$ . The green (grey) hatched region is allowed by the $B_{u} \to τ ν$ , $b \to s γ$ and $B_{u} \to μ^{+} μ^{-}$ constraints for $M \sim M_{SUSY}$ while the yellow (light grey) region is allowed by the same constraints for the $M ≃ M_{GUT}$ scenario. The region above the red (dark grey) lines has been probed by the CDMS direct dark matter detection experiment assuming that the LSP is mainly bino and $| M_{1} | = 2 | M_{2} |$ . The blue-green region is excluded by Nonstandard Higgs boson searches in the inclusive $τ τ$ channel at $1.8 {fb}^{- 1}$ . The region above the black solid (dashed) lines will be probed in the $H / A \to τ τ$ channel at the Tevatron (LHC) with a luminosity of $4 {fb}^{- 1}$ ( $30 {fb}^{- 1}$ ).Reuse & Permissions
Figure 6
Plot of $M_{A}$ versus $\tan (β)$ , for $X_{t} = 0$ , $μ = 1000 GeV$ and $M_{3} = 800 GeV$ . The green (grey) hatched region is allowed by the $B_{u} \to τ ν$ , $b \to s γ$ and $B_{u} \to μ^{+} μ^{-}$ constraints for $M \sim M_{SUSY}$ while the yellow (light grey) region is allowed by the same constraints for the $M ≃ M_{GUT}$ scenario. The region above the red (dark grey) lines has been probed by the CDMS direct dark matter detection experiment assuming that the LSP is mainly bino and $| M_{1} | = 2 | M_{2} |$ . The blue-green region is excluded by Nonstandard Higgs boson searches in the inclusive $τ τ$ channel at $1.8 {fb}^{- 1}$ . The region above the black solid (dashed) lines will be probed in the $H / A \to τ τ$ channel at the Tevatron (LHC) with a luminosity of $4 {fb}^{- 1}$ ( $30 {fb}^{- 1}$ ).Reuse & Permissions

Physical Review D

covering particles, fields, gravitation, and cosmology