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Non-Standard Neutrino Interactions

Non-Standard Neutrino Interactions. Enrique Fernández-Martínez MPI für Physik Munich. Non- unitarity and NSI. Generic new physics affecting n oscillations can be parameterized as 4-fermion N on- S tandard I nteractions:. Production or detection of a n b associated to a l a.

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Non-Standard Neutrino Interactions

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  1. Non-Standard Neutrino Interactions Enrique Fernández-Martínez MPI fürPhysik Munich

  2. Non-unitarity and NSI Generic new physics affecting n oscillations can be parameterized as 4-fermion Non-Standard Interactions: Production or detection of a nbassociated to a la p → m +nt n +nm→p+t So that The general matrixN can beparameterized as: where Alsogives butwith

  3. Non-unitarity and NSImattereffects Non-Standard n scattering off matter can also be parameterized as 4-fermion Non-Standard Interactions: so that IntegratingouttheW and Z, 4-fermion operators are obtainedalsoforthe non-unitarymixingmatrix They are relatedtotheproduction and detectionNSI

  4. Non-unitarity and NSImattereffects Integrating out the W and Z, 4-fermion operators for matter NSI are obtained from non-unitary mixing matrix They are related to the production and detection NSI

  5. Directboundsonprod/detNSI From m, b, p decays and zero distance oscillations Bounds order ~10-2 C. Biggio, M. Blennow and EFM 0907.0097

  6. DirectboundsonmatterNSI If matter NSI are uncorrelated to production and detection direct bounds are mainly from n scattering off e and nuclei Rather weak bounds… …can they be saturated avoiding additional constraints? S. Davidson, C. Peña garay, N. Rius and A. Santamariahep-ph/0302093 J. Barranco, O. G. Miranda, C. A. Moura and J. W. F. Valle hep-ph/0512195 J. Barranco, O. G. Miranda, C. A. Moura and J. W. F. Valle 0711.0698 C. Biggio, M. Blennow and EFM 0902.0607

  7. Gauge invariance However is related to by gauge invariance and very strong bounds exist m → e g m→ e in nuclei t decays SeeToshi’stalk S. Bergmann et al. hep-ph/0004049 Z. Berezhiani and A. Rossihep-ph/0111147

  8. LargeNSI? • We searched for gauge invariant SM extensions satisfying: • Matter NSI are generated at tree level • 4-charged fermionops not generated at the same level • No cancellations between diagrams with different messenger particles to avoid constraints • The Higgs Mechanism is responsible for EWSB S. Antusch, J. Baumann and EFM 0807.1003

  9. LargeNSI? At d=6 only one possibility: charged scalar singlet Present in Zee model or R-parity violating SUSY M. Bilenky and A. Santamariahep-ph/9310302

  10. LargeNSI? Since lab= -lbaonly emm, emtand ett≠0 Very constrained: m → e g m decays tdecays CKM unitarity F. Cuypers and S. Davidsonhep-ph/9310302 S. Antusch, J. Baumann and EFM 0807.1003

  11. LargeNSI? At d=8 more freedom Can add 2 H to break the symmetry between n and l with the vev There are 3 topologies to induce effective d=8 ops with HHLLfflegs: -v2/2 Z. Berezhiani and A. Rossihep-ph/0111147; S. Davidson et al hep-ph/0302093

  12. LargeNSI? We found three classes satisfying the requirements:

  13. LargeNSI? We found three classes satisfying the requirements: Just contributes to the scalar propagator after EWSB Same as the d=6 realization with the scalar singlet 1 v2/2

  14. LargeNSI? We found three classes satisfying the requirements: The Higgs coupled to the NR selects n after EWSB 2 -v2/2

  15. LargeNSI? But can be related to non-unitarity and constrained 2

  16. LargeNSI? For the matter NSI Where is the largest eigenvalue of And additional source, detector and matter NSI are generated through non-unitarityby the d=6 op

  17. LargeNSI? We found three classes satisfying the requirements: Mixed case, Higgs selects one n and scalar singlet S the other 3

  18. LargeNSI? Can be related to non-unitarity and the d=6antisymmetric op 3

  19. LargeNSI? At d=8 we found no new ways of selecting n The d=6 constraints on non-unitarity and the scalar singlet apply also to the d=8 realizations What if we allow for cancellations among diagrams? B. Gavela, D. Hernández, T. Ota and W. Winter 0809.3451

  20. LargeNSI? B. Gavela, D. Hernández, T. Ota and W. Winter 0809.3451

  21. LargeNSI? boldmeans induces 4-charged fermion at d=6, haveto cancel it!! tickmeansselectsn at d=8 without 4-charged fermion B. Gavela, D. Hernández, T. Ota and W. Winter 0809.3451

  22. LargeNSI? There is always a 4 charged fermion op that needs canceling Toy model Cancellingthe4-charged fermionops. B. Gavela, D. Hernández, T. Ota and W. Winter 0809.3451

  23. NSI in loops Even if we arrange to have We can close the Higgs loop, the triplet terms vanishes and NSIsand 4 charged fermion ops induced with equal strength Extra fine-tuning required at loop level to have k=0or loop contribution dominates when1/16p2> v2/M2 C. Biggio, M. Blennowand EFM 0902.0607

  24. Conclusions • Models leading “naturally” to NSI imply: • O(10-3) bounds on the NSI • Relationsbetweenmatter and production/detectionNSI • ProbingO(10-3) NSI at future facilities very challenging but not impossible, near detectors like MINSIS excellent probes • Saturating the mild model-independent bounds on matter NSI and decoupling them fromproduction/detectionrequiresstrong fine tuning

  25. Type I seesaw Minkowski, Gell-Mann, Ramond, Slansky, Yanagida, Glashow, Mohapatra, Senjanovic, … NRfermionicsinglet Type III seesaw Foot, Lew, He, Joshi, Ma, Roy, Hambye et al., Bajc et al., Dorsner, Fileviez-Perez SRfermionictriplet Othermodelsfornmasses Type II seesaw Magg, Wetterich, Lazarides, Shafi, Mohapatra, Senjanovic, Schecter, Valle, … Dscalartriplet

  26. non-unitarymixing in CC • FCNC forn Type I: • non-unitarymixing in CC • FCNC forn • FCNC forchargedleptons Type III: • LFV 4-fermions • interactions Type II: Different d=6 ops A. Abada, C. Biggio, F. Bonnet, B. Gavela and T. Hambye 0707.4058 TypesII and III induce flavourviolation in thechargedlepton sector Strongerconstraintsthan in Type I

  27. Lowscaleseesaws But so !!!

  28. Lowscaleseesaws The d=5 and d=6 operators are independent Approximate U(1)L symmetry can keep d=5 (neutrino mass) small and allow for observable d=6 effects Seee.g. A. Abada, C. Biggio, F. Bonnet, B. Gavela and T. Hambye 0707.4058 Inverse (Type I) seesaw Type II seesaw L= 1 -1 1 m<< M Magg, Wetterich, Lazarides, Shafi, Mohapatra, Senjanovic, Schecter, Valle,… Wyler, Wolfenstein, Mohapatra, Valle, Bernabeu, Santamaría, Vidal, Mendez, González-García, Branco, Grimus, Lavoura, Kersten, Smirnov,….

  29. Lowscaleseesaws The d=5 and d=6 operators are independent Approximate U(1)L symmetry can keep d=5 (neutrino mass) small and allow for observable d=6 effects Seee.g. A. Abada, C. Biggio, F. Bonnet, B. Gavela and T. Hambye 0707.4058 Inverse (Type I) seesaw Type II seesaw L= 1 -1 1 m<< M Magg, Wetterich, Lazarides, Shafi, Mohapatra, Senjanovic, Schecter, Valle,… Wyler, Wolfenstein, Mohapatra, Valle, Bernabeu, Santamaría, Vidal, Mendez, González-García, Branco, Grimus, Lavoura, Kersten, Smirnov,….

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