Φ
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Institute for Theoretical Physics and
Astrophysics
Dark matter in a SUSY left-right theory
J. N. Esteves, M. Hirsch, W. Porod, J. C. Romao, F. Staub and
A. Vicente
Avelino Vicente, Universit¨
at W¨
urzburg, supported by DFG project number PO-1337/1-1 and GRK 1147/2.
Dark matter and Supersymmetry
. Dark matter is one of the best evidences for physics beyond the SM
. ΩDMh2 ∼ 0.1
. WIMP miracle: A WIMP with m ∼ 100 GeV can naturally fit the picture
SUSY is the most popular extension of the SM. It provides a solution to the hierarchy problem and has room to accommodate new physics.
. The LSP is stable if R-parity is
conserved: DM candidate
. The lightest neutralino is the classic WIMP: cold, electrically neutral and colourless
However . . . open questions:
. Theoretical understanding for the conservation of R-parity
. Neutrino masses
. Link to unified models
A Left-Right symmetric model: ΩLR
Aulakh et al. PRL 79 (1997) 2188 and PRD 58 (1998) 115007 SU(3)c × SU(2)L × SU(2)R × U(1)B−L
Superfield SU(3)c SU(2)L SU(2)R U(1)B−L
∆ 1 3 1 2 ¯ ∆ 1 3 1 -2 ∆c 1 1 3 -2 ¯ ∆c 1 1 3 2 Ω 1 3 1 0 Ωc 1 1 3 0 W = YQQΦQc + YLLΦLc − µ 2 ΦΦ + fL∆L + f ∗ Lc∆cLc + a∆Ω ¯∆ + a∗∆cΩc∆¯c + αΩΦΦ + α∗ΩcΦΦ + M∆∆ ¯∆ + M∗∆∆c∆¯c + MΩΩΩ + M∗ΩΩcΩc . Parity conservation
. Two Higgs bidoublets
. Triplets with even charges under U(1)B−L
. mSUGRA-like boundary conditi-ons at the GUT scale
. Type-I seesaw mechanism
Symmetry breaking
Two steps breaking
SU(2)R × U(1)B−L −→ hΩc 0 i= √vR 2 U(1)R × U(1)B−L −→ h∆c 0 i= vBL√ 2 U(1)Y
Automatic R-parity conservation at low energies
Low energy phenomenology
. Many changes w.r.t. the CMSSM
. Interesting perspectives for LFV
(see Esteves et al. JHEP 1012 (2010) 077 )
. Deformed spectrum and invariant mass combinations. On the right:
m2 Q−m2u M21 , m2 L−m2e M21 , m2 d−m2L 10M21 and m2Q−m2e 10M21 1014 1015 1016 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 vR @ Ge VD I n v a r ia n ts
Dark matter in the ΩLR model
I) Disappearance of DM regions
Even slight changes in the SUSY spectra can lead to sizeable changes in the relic density of the lightest neutralino. Therefore, the usual CMSSM DM regions might vanish in the ΩLR model.
Example: ˜τ-coannihilation region
20 40 60 80 100 120 140 160 180 200 0 200 400 600 800 1000 m0 (GeV) m1/2 (GeV) ΩDMh2
tanβ=10, A0=0, µ>0, MSeesaw=1012 (GeV)
20 40 60 80 100 120 140 160 180 200 0 200 400 600 800 1000 m 0 (GeV) m1/2 (GeV) ΩDMh2
tanβ=10, A0=0, µ>0, MSeesaw=1012 (GeV)
vBL = vR = 1016 GeV vBL = vR = 1015 GeV 12 13 14 15 16 -100 -80 -60 -40 -20 0 log(vBL/[GeV]) m˜χ 0 1− m˜e 1
On the left: χ˜01 − ˜τ mass diffe-rence for vBL = vR = 1012
GeV, vBL = vR = 1014 GeV and
vBL = vR = 1016 GeV
For low vBL or vR the running of the soft gaugino mass parameters leads to a very
light bino, reducing the region where it can
be degenerate with the lightest ˜τ.
II) Flavoured coannihilation
Flavour contributions can reduce the ˜τ mass and enhance the ˜χ01 − ˜τ coannihilati-on x-secticoannihilati-on. This leads to new DM regions where flavour effects are essential to obtain the correct relic density, see Chowdhury et al. arXiv:1104.4467.
m2˜ τ1 ' m 2 ˜ τR(1 − δ) − mτµ tan β, with δ = ∆iτRR r m˜2 li R m2˜ τR
The ΩLR model has potentially large LFV in the R slepton sector and thus the DM constraint can also be fullfilled using the flavoured coannihilation solution.
MSeesaw= 3x1014 (GeV) tanβ=10, A0=-1000 (GeV)
800 1000 1200 M1/2 (GeV) 100 200 300 400 500 600 m 0 (GeV)
MSeesaw= 3x1014 (GeV) tanβ=10, A0=-1000 (GeV)
Ωh2 = 0.1 10-8 10-9 10-10 10-11 δ = π, θ13 = 4o 10-12 800 1000 1200 M1/2 (GeV) 100 200 300 400 500 600 m 0 (GeV)
On the left: Br(µ → eγ) and ΩDMh2
in the m0 − M1/2 plane.
A strong fine-tuning is required to reduce Br(µ → eγ) below the MEG limit (Br < 2.4 · 10−12).
. Flavoured coannihilation DM regi-ons can be found in ΩLR
. Large A0 values are required
. Large LFV signals at colliders and low energy experiments are expected
Intermediate scales between the GUT and SUSY scales can have a very strong impact on the low energy spectrum and lead to a DM phenomenology totally different from the one in the CMSSM. In the ΩLR model we found that some standard DM regions can disappear due to the stronger running of gaugino mass parameters. We also found regions in parameter space where the correct relic density is obtained thanks to flavoured coannihilation.
