SO(10) - inspired Leptogenesis and its predictions Work in - PowerPoint PPT Presentation

SO(10) - inspired Leptogenesis and its predictions Work in progress: P . Di Bari, L. Marzola, S. Huber, S. Peeters L. Marzola NExT PhD Workshop July 2011

SO(10) - inspired Leptogenesis and its predictions Featuring news from T2K! Work in progress: P . Di Bari, L. Marzola, S. Huber, S. Peeters L. Marzola NExT PhD Workshop July 2011

Leptogenesis: a short introduction Two problems:

Leptogenesis: a short introduction Two problems: ?? CMBR: Neutrino oscillation:

Leptogenesis: a short introduction Two problems: L e p CMBR: t o g e n e Neutrino oscillation: s i s ! One solution:

Leptogenesis: a short introduction Two problems: L e p CMBR: t o g e n e Neutrino oscillation: s i s ! One solution: + S.B. Heavy R.H.N. Type I Seesaw:

Leptogenesis: a short introduction Two problems: L e p CMBR: t o g e n e Neutrino oscillation: s i s ! One solution: + S.B. Heavy R.H.N. + out of eq. Type I Seesaw: CP decays

An example: N 1 Leptogenesis evolution: evolution:

An example: N 1 Leptogenesis evolution: evolution: , modified Bessel functions

An example: N 1 Leptogenesis evolution: evolution: , modified Bessel functions tot Decay parameter: eV Connection to neutrino oscillations parameters!

An example: N 1 Leptogenesis evolution: evolution: z L out of equilibrium decays and decays inverse decays inverse decays The three stages of N 1 Leptogenesis, strong washout regime: K 1 =100; | ϵ 1 |=10 -6

An example: N 1 Leptogenesis evolution: evolution: z L out of equilibrium decays and decays inverse decays inverse decays The three stages of N 1 Leptogenesis, strong washout regime: K 1 =100; | ϵ 1 |=10 -6

An example: N 1 Leptogenesis evolution: evolution: z L out of equilibrium decays and decays inverse decays inverse decays The three stages of N 1 Leptogenesis, strong washout regime: K 1 =100; | ϵ 1 |=10 -6

SO(10)-inspired Leptogenesis: P . Di Bari, A. Riotto Seesaw mechanism: hep-ph: 1012.2343

SO(10)-inspired Leptogenesis: P . Di Bari, A. Riotto Seesaw mechanism: hep-ph: 1012.2343

SO(10)-inspired Leptogenesis: P . Di Bari, A. Riotto Seesaw mechanism: hep-ph: 1012.2343 Takagi factorisation: (N.O.)

SO(10)-inspired Leptogenesis: P . Di Bari, A. Riotto Seesaw mechanism: hep-ph: 1012.2343 Takagi factorisation: (N.O.)

SO(10)-inspired Leptogenesis: P . Di Bari, A. Riotto Seesaw mechanism: hep-ph: 1012.2343 Takagi factorisation: (N.O.) Diagonalising gives:

SO(10)-inspired Leptogenesis: P . Di Bari, A. Riotto Seesaw mechanism: hep-ph: 1012.2343 Takagi factorisation: Diagonalising gives: Oscillation experiments provide: • mixing angles in U • light mass differences in D m SO(10)-inspired conditions: • V L between 1 and CKM. • light neutrino Dirac masses

SO(10)-inspired Leptogenesis II With this setup the natural scenario is N 2 -dominated heavy neutrinos’ hierarchical mass spectrum:

SO(10)-inspired Leptogenesis II With this setup the natural scenario is N 2 -dominated heavy neutrinos’ hierarchical mass spectrum:

SO(10)-inspired Leptogenesis II With this setup the natural scenario is N 2 -dominated heavy neutrinos’ hierarchical mass spectrum: does not contribute to the asymmetry. Furthermore: no resonant enhancement to ϵ 2

SO(10)-inspired Leptogenesis II With this setup the natural scenario is N 2 -dominated heavy neutrinos’ hierarchical mass spectrum: does not contribute to the asymmetry. Furthermore: no resonant enhancement to ϵ 2 B-L asymmetry produced in a 2-flavours regime for T~M 2 :

SO(10)-inspired Leptogenesis II With this setup the natural scenario is N 2 -dominated heavy neutrinos’ hierarchical mass spectrum: does not contribute to the asymmetry. Furthermore: no resonant enhancement to ϵ 2 B-L asymmetry produced in a 2-flavours regime for T~M 2 : washout in fully flavoured regime. No B-L production:

SO(10) inspired predictions: Unrelated phenomenologies are now connected :

SO(10) inspired predictions: Unrelated phenomenologies are now connected : ν oscillations:

SO(10) inspired predictions: Unrelated phenomenologies are now connected : ν oscillations: CMBR: Combine these phenomenologies via i SO(10)-inspired Leptogenesis!

SO(10) inspired predictions: Unrelated phenomenologies are now connected : ν oscillations: CMBR: Combine these phenomenologies via i SO(10)-inspired Leptogenesis! SO(10)- new PDFs PDFs inspired ( ν oscillations ( ν oscillations) model +CMBR) SO(10)-inspired vs predictions!

Implementation: Our code performs the following tasks:

Implementation: Our code performs the following tasks: populate the sample space: normal ordering only

Implementation: Our code performs the following tasks: populate the sample space: normal ordering only for every point compute: apply weighted binning: weighting initial SO(10) inspired function PDF predictions

First results: phases Run 0: PDFs for phases have a well defined structure

First results: phases Run 0: PDFs for phases have a well defined structure 10K points, 100 bins 68% C.L. 95% C.L.

First results: θ 12 and θ 23 Run 1: PDFs for mixing angles

First results: θ 12 and θ 23 Run 1: PDFs for mixing angles 20K points, 100 bins 68% C.L. 95% C.L.

First results: θ 13 Input distribution: uniform on [0º,14º]

First results: θ 13 Input distribution: uniform on [0º,14º]

First results: θ 13 Neutrinos are faster than protons: news from T2K! arXiv:1106.2822v1 [hep-ex] 14 Jun 2011 Indication of Electron Neutrino Appearance from an Accelerator-produced O ff -axis Muon Neutrino Beam (The T2K Collaboration) Abstract The T2K experiment observes indications of ν µ → ν e appearance in data accumulated with 1 . 43 × 10 20 protons on target. Six events pass all selection criteria at the far detector. In a three- 23 | = 2 . 4 × 10 − 3 eV 2 , sin 2 2 θ 23 = 1 and sin 2 2 θ 13 = 0, flavor neutrino oscillation scenario with | ∆ m 2 the expected number of such events is 1.5 ± 0.3(syst.). Under this hypothesis, the probability to observe six or more candidate events is 7 × 10 − 3 , equivalent to 2.5 σ significance. At 90% C.L., the data are consistent with 0.03(0.04) < sin 2 2 θ 13 < 0.28(0.34) for δ CP = 0 and normal (inverted) hierarchy.

First results: θ 13 Neutrinos are faster than protons: news from T2K! arXiv:1106.2822v1 [hep-ex] 14 Jun 2011 π Indication of Electron Neutrino Appearance from an 2 Δ m > 0 Accelerator-produced O ff -axis Muon Neutrino Beam 23 π /2 (The T2K Collaboration) CP 0 Abstract δ The T2K experiment observes indications of ν µ → ν e appearance in data accumulated with Best fit to T2K data 68% CL 1 . 43 × 10 20 protons on target. Six events pass all selection criteria at the far detector. In a three- - π /2 90% CL 23 | = 2 . 4 × 10 − 3 eV 2 , sin 2 2 θ 23 = 1 and sin 2 2 θ 13 = 0, flavor neutrino oscillation scenario with | ∆ m 2 the expected number of such events is 1.5 ± 0.3(syst.). Under this hypothesis, the probability to - π observe six or more candidate events is 7 × 10 − 3 , equivalent to 2.5 σ significance. At 90% C.L., π the data are consistent with 0.03(0.04) < sin 2 2 θ 13 < 0.28(0.34) for δ CP = 0 and normal (inverted) 2 Δ m < 0 hierarchy. 23 π /2 CP 0 δ T2K - π /2 20 1.43 × 10 p.o.t. - π 0 0.1 0.2 0.3 0.4 0.5 0.6 2 sin 2 θ 13

First results: θ 13 Neutrinos are faster than protons: news from T2K! arXiv:1106.6028v1 [hep-ph] 29 Jun 2011 Evidence of θ 13 > 0 from global neutrino data analysis G.L. Fogli, 1, 2 E. Lisi, 2 A. Marrone, 1, 2 A. Palazzo, 3 and A.M. Rotunno 1 The neutrino mixing angle θ 13 is at the focus of current neutrino research. From a global analysis of the available oscillation data in a 3 ν framework, we previously reported [Phys. Rev. Lett. 101, 141801 (2008)] hints in favor of θ 13 > 0 at the 90% C.L. Such hints are consistent with the recent indications of ν µ → ν e appearance in the T2K and MINOS long-baseline accelerator experiments. Our global analysis of all the available data currently provides > 3 σ evidence for nonzero θ 13 , with 1 σ ranges sin 2 θ 13 = 0 . 021 ± 0 . 007 or 0 . 025 ± 0 . 007, depending on reactor neutrino flux systematics. Updated ranges are also reported for the other 3 ν oscillation parameters ( δ m 2 , sin 2 θ 12 ) and ( ∆ m 2 , sin 2 θ 23 ).

First results: θ 13 New profile from global analyses:

First results: masses Run 1: PDFs for m 1 and m ee

First results: masses Run 1: PDFs for m 1 and m ee 20K points, 100 bins 68% C.L. 95% C.L.

Epilogue and future prospects: About Leptogenesis and the SO(10)-inspired model: Future prospects: