DARK MATTER STABILITY FROM D ISCRETE FLA VOR SYMMETRIES

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1 DARK MATTER STABILITY FROM D ISCRETE FLA VOR SYMMETRIES 4 4 Eduardo Peinado AHEP Instituto de Física Universidad de Valencia In collaboration with: M. Hirsch, S. Morisi, J.W.F. Valle S. Boucena, D. Meloni and M. Taoso DCPIHEP 2011, Colima Mexico 2011

2 Stability of DM DM is stable In many models Stability

3 Stability of DM DM is stable In many models Stability assumed by hand

4 DM Stability DM is stable In many models Stability assumed by hand

5 A4 Symmetry

6 A4 Symmetry Z2 Z3

7 Dark Matter A4 flavor symmetry Neutrino

8 Dark Matter A4 In the specific model we are presenting DM stability reactor angle = 0 m3=0 (IH) Neutrino

9 A4 Discrete group even permutations four objects Z2, Z3 tetrahedron subgroups

10 A4 Symmetry

11 A4 Symmetry

12 A4 Symmetry

13 A4 Irrep: three singlets 1, 1, 1 and one triplet 3 smallest discrete group with triplet irrep

14 WHY NON-ABELIAN DISCRETE GROUP ARE INTERESTING? Schwetz et al Gonzalez et al Fogliet etal al Fogli A4 Ferruglio, Lam, King Harrison, Perkins & Scott

15 Problem of vevs alignments in A4 In general A4 models need two different triplets with different alignments (1 0 0) Babu, Ma and Valle Phys.Lett.B552: , 2003 (1 1 1) To obtain this, Extra dim or Susy with other extra auxiliary symmetries Altarelli arxiv: Altarelli, Feruglio, Nucl.Phys.B741: ,2006 It is possible to generate correct neutrino mixing angles and fermion masses with only one or two triplets with the same alignment? Lavoura and Kuhbock, Eur. Phys. J. C. 55, 303 (2008) Morisi and Peinado, Phys. Rev. D80, (2009) Hirch, Morisi, Peinado and Valle Phys. Rev. D 82, (2010)

16 The Model SM + 3 Higgs SU(2) doublets, 4 right handed neutrinos

17 The Model SM + 3 Higgs SU(2) doublets, 4 right handed neutrinos Hirch, Morisi, Peinado and Valle Phys. Rev. D 82, (2010)

18 The Model SM + 3 Higgs SU(2) doublets, 4 right handed neutrinos Hirch, Morisi, Peinado and Valle Phys. Rev. D 82, (2010) Charged leptons diagonal

19 The Model SM + 3 Higgs SU(2) doublets, 4 right handed neutrinos All the higgses couple to the neutrinos Hirch, Morisi, Peinado and Valle Phys. Rev. D 82, (2010)

20 The Model SM + 3 Higgs SU(2) doublets, 4 right handed neutrinos All the higgses couple to the neutrinos Hirch, Morisi, Peinado and Valle Phys. Rev. D 82, (2010)

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22 Hirch, Morisi, Peinado and Valle Phys. Rev. D 82, (2010) The alignment Breaks spontaneously

23 The alignment

24 The alignment

25 Z2 residual symmetry Z2 even Z2 odd

26 Z2 residual symmetry Z2 even Z2 odd Dark Matter Stability

27 Relevant for annihilation and Direct detection

28 Neutrinos

29 Neutrinos

30 Neutrinos Scaling matrix, Rodejohan and Mohapatra

31 Neutrinos Scaling matrix, Rodejohan and Mohapatra

32 Neutrinos Scaling matrix, Rodejohan and Mohapatra

33 Neutrinos Scaling matrix, Rodejohan and Mohapatra Inverse Hierarchy and prediction and

34 DM in the Model Our DM is Stable:

35 DM in the Model Our DM is Stable: Protected by Z2

36 DM in the Model Our DM is Stable: Protected by Z2

37 DM Constraints Oblique parameters S, T and U: Grimus et. al PDG Perturbativity: Relic density

38 DM Constraints Oblique parameters S, T and U: Grimus et. al PDG Perturbativity: Relic density The potential must be bounded from below

39 Relic Density WMAP MicrOMEGAs to compute relic density Bouncena, Hirsch, Morisi, Peinado, Taoso and Valle to appear soon

40 Bouncena, Hirsch, Morisi, Peinado Taoso and Valle to appear soon

41 Annihilation too low Relic density too high Bouncena, Hirsch, Morisi, Peinado Taoso and Valle to appear soon

42 co-annihilation channel open Correct relic density

43 Resonant zone MDM ~ ½ MH Bouncena, Hirsch, Morisi, Peinado Taoso and Valle to appear soon

44 Very similar to inert dm Lopez-Honores and yaguna arxiv:

45 Direct Detection CoGent DAMA Bouncena, Hirsch, Morisi, Peinado Taoso and Valle to appear soon

46 Direct Detection CoGent DAMA Bouncena, Hirsch, Morisi, Peinado Taoso and Valle to appear soon

47 Remarks We construct a model where the DM is stable due to a residual symmetry arising from a discrete non-abelian flavor symmetry This model is also consistent with the neutrino phenomenology: Predictivity: Inverse Hierarchy mass spectrum Region on the parameter space compatible with relic density Possible direct detection

48 Other possibility SM + 3 Higgs SU(2) doublets, 4 right handed neutrinos Hirch, Morisi, Peinado and Valle Phys. Rev. D 82, (2010)

49 Other possibility SM + 3 Higgs SU(2) doublets, 4 right handed neutrinos Hirch, Morisi, Peinado and Valle Phys. Rev. D 82, (2010) Meloni, Morisi, Peinado arxiv:

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53 Using the see-saw I

54 Reabsorbing the unphysical phases

55 Reabsorbing the unphysical phases

56 Reabsorbing the unphysical phases With the three invariants: We can solve for a, b and c in term of the neutrino masses We set as free parameters

57 Correlations

58 Another Model: D4 Any non-abelian discrete symmetry contains some ZN as a subgroup:

59 Another Model: D4 Any non-abelian discrete symmetry contains some ZN as a subgroup:

60 Generators of D4

61 Generators of D4

62 The D4 DM Model Boucena, Meloni, Morisi, Peinado and Taoso, Work in progress We found One rotation in the 2-3

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64 We rotate the fields

65 We rotate the fields The 4x4 scalar mass matrix Goes to a 3x3 + 1x1

66 We rotate the fields The 4x4 scalar mass matrix Goes to a 3x3 + 1x1 This is the DM candidate

67 From the Charged sector

68 Conclusions Non-Abelian Flavor Symmetries are useful to explain the patterns of masses and mixings of neutrinos: Reduce the number of free parameters in the SM Predictive We show that are also useful to explain the DM in the Universe: Also with a rich phenomenology Is it possible to reduce the num. of free parameters in the quarks? We think so: we are constructing a model based on S4 In S4 we have more irreducible representations Singlets, doublets and triplets Also A4 is a subgroup of S4 could be a limit.

69 Announcement... Workshop on FLAvour SYmmetries FLASY2011 Valencia-IFIC, July 2011 Main goal: summarize the theoretical status of flavor symmetries, bringing together researchers in the field to stimulate discussions and new collaborations Interesting subjects: possible new physics scenarios to be tested at the LHC, as well as in future neutrino, cosmology experiments and dark matter searches. Talks mainly given by young researchers and PhD students Official web page: Official address: Organizing Committee : M. Hirsch (Valencia), D.Meloni (Wuerzburg), S.Morisi (Valencia), S. Pastor (Valencia), E. Peinado (Valencia), J.W.F. Valle (Valencia).