Phenomenology of Three-Loop Neutrino Masses Models Amine AHRICHE Department of Physics, University of Jijel, Algeria NTU-Taipei, December 21st 2015

Outlines The Models: Motivation & Description A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 Outlines The Models: Motivation & Description Neutrino Mass vs Exp. Constraints Dark Matter EW Phase Transition Higgs Decay channels h→ γγ and h→ γZ Collider Signatures Conclusion based on A.A. & S. Nasri, JCAP 07 (2013) 035 A.A., S. Nasri & R. Soualah, Phys. Rev. D 89, 095010 (2014) A.A., C.-S. Chen, K.L. McDonald & S. Nasri, Phys.Rev. D90, 015024 (2014) A.A., K.L. McDonald & S. Nasri, JHEP 1410 (2014) 167 A.A., K.L. McDonald, S. Nasri & T. Toma, Phys.Lett. B746 (2015) 430 A.A., K.L. McDonald & S. Nasri, Phys.Rev. D92, 095020 (2015)

The Models: Motivation & Description A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 The Models: Motivation & Description The SM is very succesful, but ... ν ‘masses, gauge unification, hierarchy pb, BAU, DM, DE .. Many extensions: gauge symmetry, particle content, space-time or introducing exotic ideas (SUSY, LH, UnParticle..) A small ν ‘masses: Seesaw mechanism ... or Radiatively ... Zee, Babu-Zee ... etc Our class of models is a simple (& economical) SM extension: SM + a charged singlet scalar + a scalar N-plet + 3 generations of fermion N-plets with a global Z2 symmetry. This leads to: neutrino mass and mixing values given by the Exp; DM candidate: relic density & direct & indirect search Exp; Higgs mass at 125 GeV & possible deviation in h→ γ γ; Strong first order phase transition; Interesting signals at the colliders.

Different classes: Fields content: Z2: Z2: (n=2) softly broken A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 Different classes: Fields content: Z2: Z2: (n=2) softly broken : (n=3) Accidental

Lagrangian & Neutrino mass A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 Lagrangian & Neutrino mass Singlet case (n=0): (Krauss-Nasri-Trodden) PRD67, 085002 (2003), JCAP 07 (2013) 035

Lagrangian & Neutrino mass A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 Lagrangian & Neutrino mass Triplet case (n=1): Phys.Rev. D90, 015024 (2014) Inside the loops:

Lagrangian & Neutrino mass A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 Lagrangian & Neutrino mass 5-plet case (n=2): JHEP 1410 (2014) 167 breaks Z2 : softly Inside the loops:

7-plet case (n=3): Phys.Lett. B746 (2015) 430 A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 7-plet case (n=3): Phys.Lett. B746 (2015) 430 Accidental Z2 These estimated neutrino mass matrix elements have to be matched observed values We do not know the neutrinomass hierarchy: normal or inverted? and the absolute neutrino mass (m1 ot m3) ?

Muon anomalous Magnetic moment A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 Eg. 5-plet LFV Muon anomalous Magnetic moment Exp. Bounds: Neutrinoless ββ decay bound on

Space parameters: KNT (n=0) Triplet (n=1) A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 Space parameters: KNT (n=0) Triplet (n=1)

Space parameters: 5-plet (n=2) 7-plet (n=3) A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 Space parameters: 5-plet (n=2) 7-plet (n=3)

Dark Matter The observed relic density (Planck) KNT (n=0): A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 Dark Matter The observed relic density (Planck) KNT (n=0): The lightest E10 (RH Majorana N1) is our DM candidate We have the self-annihilation (S2-mediated) t-channel process; and also through the co-annihilation processes The annihilation cross section Relic density The co-annihilation effect can be expressed by the factor k

Dark Matter KNT: Interesting features: if A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 Dark Matter KNT: Interesting features: if

A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 Dark Matter n>0: The neutral component of the first generation of the fermion triplet E01 It self-annihilates through t-channel processes mediated by S and W gauge bosons: this leads to large values for DM mass The fermion multiplet members have mass splitting of O(166 MeV), there the coanihilation effect is extremely important The co-annihilation processes should be considered For we have:

Dark Matter Triplet: Direct detection: A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 Dark Matter Triplet: Direct detection: The direct detection bounds (especially from XE100 or LUX) are weaker for large DM mass values

Dark Matter 5-plet (n=2): A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 Dark Matter 5-plet (n=2): If λ=0, DM is stable and slelf-annihilates similar to the triplet case. But if λ<<1, it decays like This leads to DM longlivety

Dark Matter 5-plet: Direct detection: A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 Dark Matter 5-plet: Direct detection: The direct detection bounds (especially from XE100 or LUX) are weaker for large DM mass values

The EW Phase Transition A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 The EW Phase Transition In 1967, Sakharov criteria: In the SM (KRS): B violation C & CP violation Out-of-equilibrium B+L anomaly CKM matrix Strong first order Phase transition B,CP / / SM: Mh<45 GeV!!!

The EW Phase Transition A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 The EW Phase Transition In the KNT (n=0) model, the Higgs mass is given at one-loop by Then the Higgs mass is exactly 125 GeV for = 10􀀀1, 10􀀀2, 10 if … it means a strong first order phase transition is easily obtained

The EW Phase Transition A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 The EW Phase Transition For n>0

Higgs decay channels h→ γ γ and h→ γZ A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 Higgs decay channels h→ γ γ and h→ γZ In the KNT (n=0) model, the Higgs-photon couplings get modified by the extra charged scalars. This modification is given by

Higgs decay channels h→ γ γ and h→ γZ A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 Higgs decay channels h→ γ γ and h→ γZ n=0 n=1, n=2

A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 Collider Signatures PRD89, 095010 (2014) At linear collider, a (leptonic) DM particle can be checked through processes such: (still under investigation) where we observe as

A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 ILC

For the KNT model, we consider the process: A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 For the KNT model, we consider the process: 40 diagrams with the background: they are not similar!! 18 diagrams

We get the cross section and significance values: A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 In order to identify any signal in any experience, the significance should e be larger than 5, with After implementing the model in LanHEP/CalcHEP, we generate different distributions and consider the selection cuts: We get the cross section and significance values:

A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 In order to identify the source of missing energy source at 1 TeV, we vary the charged scalar S2 (the scalar that couples to RH neutrinos). We find physical value

We get the cross section and significance values: A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 Therefore, the missing energy at CM energies 250, 350 and 500 GeV is mainly LH neutrinos, while at 1 TeV, it RH Majoarana neutrinos. Another option to enhance the significane in leptnic colliders is using polarized beams. The polarization is characterized by: At the ILC, we have: We get the cross section and significance values:

To summarize the results, we give the expected events numbers: A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 To summarize the results, we give the expected events numbers: And when varying the luminosity, we get: At the LHC: (in progress)

Thank you for your attention A. Ahriche, U. Jijel NTU-Taipei, December 21st 2015 Conclusion This calss of models gives The neutrino mass and mixing data for normal and inverted hierarhy without beeing in conflict with Exp. constraints such as LFV procesess. Right amount of the relic density, with out being in conflict with Direct detection Exp. A strong first order phase transition while the 125 GeV Higgs mass is easily obtained. Possible modification in the Higgs decay channels h→ γγ & h→ γZ. Possibly tested signals at the ILC (LHC soon published). Thank you for your attention