Predictions for the neutrino parameters in the minimal model - PowerPoint PPT Presentation

Predictions for the neutrino parameters in the minimal model extended by general lepton flavor dependent U(1) gauge symmetries 浅井 健⼈ (東京⼤学) 素粒⼦物理学の進展 2019 2019年7⽉31⽇ @ 基礎物理学研究所 Based on KA (arXiv : 1907.04042 [hep-ph]) Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 1/48

● Introduction Introduction Extension of Standard Model Matter contents SM fields + 3 right-handed neutrinos ● Neutrino mass ● Leptogenesis Seesaw mechanism Some motivations Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 2/48

● Introduction Introduction Extension of Standard Model Gauge sector : combination of , and Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 3/48

● Introduction Introduction Extension of Standard Model Gauge sector : combination of , and Anomaly cancellation condition Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 4/48

● Introduction Introduction Extension of Standard Model Gauge sector ● Muon g-2 ● Dark Matter J.-C. Park, J. Kim, and S. C. Park (2016); S. Baek (2016); etc… S. Baek, N. G. Deshpande, X. G. He, and P. Ko (2001); Some motivations E. Ma, D. P. Roy, and S. Roy (2002); etc… Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 5/48

● Introduction Introduction Neutrino Mass Matrix Structure Matter contents SM fields + 3 right-handed neutrinos Seesaw mechanism Block diagonal For Neutrino mixing Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 6/48

● Introduction Introduction Neutrino Mixing Angles Neutrino experiments Matter contents (ex: Super-Kamiokande) SM fields + 3 right-handed neutrinos PMNS matrix Seesaw mechanism For Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 7/48

● Introduction Introduction Neutrino Mixing Angles Matter contents SM fields + 3 right-handed neutrinos Minimal models can not explain the neutrino mixing as long as gauge symm. is conserved Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 8/48

● Introduction Introduction Neutrino Mass Matrix Structure Matter contents SM fields + 3 right-handed neutrinos + U(1) breaking scalar (singlet) or (doublet) Seesaw mechanism Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 9/48

● Introduction Introduction Neutrino Mass Matrix Structure Matter contents SM fields + 3 right-handed neutrinos + U(1) breaking scalar (singlet) Seesaw mechanism Neutrino mixing & two-zero minor structure For Elements where zeros appear depend on Minimal Gauged U(1) ' ( )' * Models Driven into a Corner Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 10/48

● Introduction Introduction KA, K. Hamaguchi and N. Nagata, Eur. Phys. J. C77 (2017) 763; Neutrino Mass Matrix Structure KA, K. Hamaguchi, N. Nagata, S.-Y. Tseng and K. Tsumura, Phys. Rev. D99 (2019) 055029. Matter contents SM fields + 3 right-handed neutrinos + U(1) breaking scalar (singlet) Point Seesaw mechanism two-zero minor structure For Mixing Dirac Majorana Squared mass angle CP CP difference Minimal Gauged U(1) ' ( )' * Models Driven into a Corner Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 11/48

● Introduction Introduction Neutrino Mass Matrix Structure KA, K. Hamaguchi, N. Nagata, S.-Y. Tseng and K. Tsumura, Phys. Rev. D99 (2019) 055029. Matter contents SM fields + 3 right-handed neutrinos + U(1) breaking scalar (doublet) Point Seesaw mechanism two-zero texture structure For Mixing Dirac Majorana Squared mass angle CP CP difference Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 12/48

● Introduction Introduction Abstract of this talk Extra U(1) gauge symmetry Leptogenesis 2 zero minor structure Dirac Yukawa couplings CP phase neutrino mass Effective Majorana neutrino mass sign of baryon asymmetry as functions of Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 13/48

● Introduction ● Model ● Mass matrix Outline ● Leptogenesis ● Conclusion ● Appendix 1, Introduction Two models 2, Model (+singlet or +doublet scalar ) Analysis : two-zero minor (texture) condition 3, Mass Matrix Result : Dirac CP phase and sum of neutrino masses Analysis : seesaw formula 4, Leptogenesis Result : sign of the asymmetry parameter 5, Conclusion Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 14/48

● Model Model Minimal Gauged U(1) %’ Models Singlet Doublet Charge assignment Charge assignment Lagrangian Lagrangian Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 15/48

● Model Model Minimal Gauged U(1) %’ Models Singlet Doublet Charge assignment Lagrangian Mass matrix ・Dirac mass ・Majorana mass ・ Charged lepton mass Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 16/48

● Model Model Minimal Gauged U(1) %’ Models Singlet Doublet Lagrangian Charge assignment Charge assignment Lagrangian Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 17/48

● Model Model Minimal Gauged U(1) %’ Models Singlet Doublet Lagrangian Charge assignment Mass matrix ・Dirac mass ・ Charged lepton mass ・Majorana mass Assumption Lepton flavor violation Enough small Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 18/48

● Mass matrix Mass matrix Two-zero minor condition Singlet PMNS matirx Seesaw mechanism Two complex equations in terms of Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 19/48

● Mass matrix Mass matrix Two-zero texture condition Doublet PMNS matirx Seesaw mechanism Two complex equations in terms of Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 20/48

● Mass matrix Mass matrix Flow of analysis Point neutrino mass CP phase Leptogenesis Asymmetry parameter Effective Majorana neutrino mass Neutrino oscillation Neutrino Dirac as functions of Yukawa coupling parameter Two complex equations in terms of Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 21/48

● Mass matrix Mass matrix Two zero minor condition Two complex equations Neutrino mass ratios can be obtained as functions of the Dirac CP phase Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 22/48

● Mass matrix Mass matrix Two zero minor condition CP phase and neutrino masses can be obtained as functuions of the neutrino oscillation parameters Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 23/48

● Mass matrix Mass matrix Notice ! The following discussion is applicable to 1, the other U(1) lepton flavor symmetries The methods of analysis are same but the structures of the neutrino mass matrices are different 2, wide breaking scale Leptogenesis Muon g-2 scale scale Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 24/48

● Mass matrix Mass matrix 5 Models Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 25/48

● Mass matrix Mass matrix 5 Models Two-zero texture Two-zero minor Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 26/48

● Mass matrix Mass matrix 5 Models Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 27/48

● Mass matrix Mass matrix 5 Models Normal Inverted Two complex equations have no solution Predictions for the neutrino parameters in the minimal gauged U(1) %& models PPP2019 @ YITP (July 31) K. Asai (Univ. of Tokyo) 28/48