Generating Neutrino Mass Electroweak Scale Radiatively Amine AHRICHE
- Slides: 16
Generating Neutrino Mass & Electroweak Scale Radiatively Amine AHRICHE Department of Physics, University of Jijel, Algeria NCTS Annual Theory Meeting 2015: Particles, Strings & Cosmology
Outlines • The Model • Dark Matter • Experimental Constraints • Numerical Results • Conclusion based on A. A. & K. L. Mc. Donald & S. Nasri, 1508. 02607 [hep-ph] 2 A. Ahriche, U. Jijel NCTS Annual Theory Meeting 2015
The Model 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, Un. Particle. . ) A small ν ‘masses: Seesaw mechanism. . . or Radiatively. . . Zee, Babu. Zee. . . etc Our model is a simple (& economical) SM extension: SM + a real singlet scalar + two charged singlet scalar + 3 RH singlet fermions with a global Z 2 symmetry. This leads to: 1. 2. 3. 4. 5. EWSB radiatively; neutrino mass and mixing values given by the Exp; DM candidate: relic density & direct detection Exp; Higgs mass at 125 Ge. V; Being in agreement with: LFV; muon anomalous magnetic moment; the Higgs decay h→γ γ; electroweak precision tests; the Higgs invisible decay. 3 A. Ahriche, U. Jijel NCTS Annual Theory Meeting 2015
Lagrangian Neutrino mass These values have to be matched observed values We do not know the neutrino mass hierarchy: normal or inverted? and the absolute neutrino mass (m 1 ot m 3) ? A. Ahriche, U. Jijel 4 NCTS Annual Theory Meeting 2015
EWSB A minimum with conditions give and exists on if and the tadpole where all field dependant masses can be written as The vacuum stability is ensured by imposing the condition with 5 A. Ahriche, U. Jijel NCTS Annual Theory Meeting 2015
Scalar spectrum We have two CP-even scalars with and where the charged scalar masses are given by Here: • The quartic couplings , and are not free parameters: two of them are defined by the tadpole conditions and the third one by the Higgs (h 1) mass. • The dilaton (h 2) mass squared is always positive once the vacuum stability is imposed. • The dilaton mass, which is null at tree-level, is defined by the size of different radaitive contributions. 6 A. Ahriche, U. Jijel NCTS Annual Theory Meeting 2015
Dark Matter Relic density The relic density in the WIMP paradigm is given by: with the freeze-out parameter and is thermally averaged annihilation cross-section of the DM candidate (the lightest RH fermion singlet N 1 in our setup) into all kinematically accessible final state particles In our setup, the DM candidate has the annihilation channels: 7 A. Ahriche, U. Jijel NCTS Annual Theory Meeting 2015
The charged leptons annihilation cross section is similar to KNT and the scalar annihilation cross sections: with 8 A. Ahriche, U. Jijel NCTS Annual Theory Meeting 2015
Direct detection The low-energy effective Lagrangian leads to the direct detection cross section with is the nucleon mass and the baryon mass in the chiral limit. This has to be in agreement with different direct detection experiments such as LUX 9 A. Ahriche, U. Jijel NCTS Annual Theory Meeting 2015
Experimental Constraints Lepton flavor Exp. Bounds: Muon anomalous magnetic moment 10 A. Ahriche, U. Jijel NCTS Annual Theory Meeting 2015
Electroweak precision tests The Higgs is composite & existence of charged scalars => NEW contributions to S & T Following Grimus, et al. NPB 801(2008)81, the oblique parameters are given by: with and the functions are given in the literature. Higgs invisible decay is possible if , with Then However, A. Ahriche, U. Jijel is vanishing at tree-level due to SI symmetry. 11 NCTS Annual Theory Meeting 2015
The Higgs decay channel h → γγ The Higgs is composite & existence of charged scalars => Modification in the Higgs decay channels: h with The ratio value , → γγ , γZ as , and should in agreement with 12 A. Ahriche, U. Jijel NCTS Annual Theory Meeting 2015
Numerical Results In our numerical scan, we consider: - The neutrino mass and mixing for normal or inverted hierarchy. - LFV constraints. - LEP constraints on light Higgs mass and mixing. - Relic density. The dilation mass 13 A. Ahriche, U. Jijel NCTS Annual Theory Meeting 2015
The new Yukawa couplings DM & charged scalars masses 14 A. Ahriche, U. Jijel NCTS Annual Theory Meeting 2015
Direct detection EWPT & h → γγ 15 A. Ahriche, U. Jijel NCTS Annual Theory Meeting 2015
Conclusion This model 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 without being in conflcit with detection experiemetns. • The Higgs mass at 125 Ge. V. • a possible enhancement on the Higgs decay channel h→ γγ while h→ γZ remains almost unchanged. • Possibly tested signals at both the ILC & LHC. Thank you for your attention 16 A. Ahriche, U. Jijel NCTS Annual Theory Meeting 2015