Toshihiko Ota Saitama University based on Florian Bonnet, Martin Hirsch, TO, Walter Winter arXiv.1212.3045 JHEP 1207 (2012) 153 Shinya Kanemura, TO Phys. Lett. B694 (2010) 233 Florian Bonnet, Daniel Hernandez, TO, Walter Winter JHEP 0910 (2009) 076 Daniel Hernandez, Belen Gavela, TO, Walter Winter Phys. Rev. D79 (2009) 013007
Preface If the SM is a low- E effective model of a fundamental theory...
Preface If the SM is a low- E effective model of a fundamental theory... : A typical scale of New physics Effective operators are a typical low- E remnant of New physics
Preface If the SM is a low- E effective model of a fundamental theory... : A typical scale of New physics Effective operators are a typical low- E remnant of New physics Weinberg op.
Preface If the SM is a low- E effective model of a fundamental theory... : A typical scale of New physics Effective operators are a typical low- E remnant of New physics Weinberg op. Seesaw mech. (@tree)
Preface If the SM is a low- E effective model of a fundamental theory... : A typical scale of New physics Effective operators are a typical low- E remnant of New physics Weinberg op. Four-Fermi Seesaw mech. (@tree)
Preface If the SM is a low- E effective model of a fundamental theory... : A typical scale of New physics Effective operators are a typical low- E remnant of New physics Weinberg op. Four-Fermi Seesaw mech. (@tree)
Preface If the SM is a low- E effective model of a fundamental theory... : A typical scale of New physics Effective operators are a typical low- E remnant of New physics Weinberg op. Four-Fermi Seesaw mech. (@tree)
Preface If the SM is a low- E effective model of a fundamental theory... : A typical scale of New physics Effective operators are a typical low- E remnant of New physics Weinberg op. Four-Fermi Seesaw mech. ? ? ? ? (@tree) What do these eff. ops. suggest to physics at high E scales? Exhaustive bottom-up approach
Outline Neutrino mass from d>5 ops. ( d=7 ) Implementation of the d=7 op at low E High E completion of the d=7 op New Physics in neutrinoless double beta decay ( d=9 ) Effective neutrino mass in 0n2b d=9 ops → half-life time → TeV completion and suggestions to/from LHC
Outline Neutrino mass from d>5 ops. ( d=7 ) Implementation of the d=7 op at low E High E completion of the d=7 op New Physics in neutrinoless double beta decay ( d=9 ) Effective neutrino mass in 0n2b d=9 ops → half-life time → TeV completion and suggestions to/from LHC
from d>5 Motivation Overview: Neutrino mass from higher dim. ops. p p o o e o o e l l r - - T 1 2 3-loop models Krauss Nasri Trodden PR D67 (2003) 085002 Cheung Seto PR D69 (2004) 113009 Aoki Kanemura Seto PRL 102 (2009) 051805
from d>5 Motivation Overview: Neutrino mass from higher dim. ops. If forbidden 3-loop models Krauss Nasri Trodden PR D67 (2003) 085002 Cheung Seto PR D69 (2004) 113009 Aoki Kanemura Seto PRL 102 (2009) 051805 Next leading contribution to neutrino mass with the SM particle content Neutrino mass from an n -loop dim- d diagram Additional suppression Lower NP scale
from d>5 d=7 op at low E A complication to introduce Dim.7 op. When we allow us to have
from d>5 d=7 op at low E A complication to introduce Dim.7 op. When we allow us to have Singlet we also have
from d>5 d=7 op at low E A complication to introduce Dim.7 op. When we allow us to have we also have
from d>5 d=7 op at low E A complication to introduce Dim.7 op. When we allow us to have we also have To forbid d=5 op., we introduce Two Higgs doublets Discrete symmetry (Matter parity)
from d>5 d=7 op at low E Setup at the EWSB scale When we have SM particle content + an extra Higgs doublet matter parity with the following charge assignment then, we do not have q (Dim.5) = 2 and we have q (Dim.7) = 5 This Dim.7 op does not induce loop-Dim.5 op.
from d>5 High E completion of d=7 op High energy completion of Dim.7
from d>5 High E completion of d=7 op High energy completion of Dim.7 What kind of high energy modes can induce Dim.7 effective op. at the EW scale? → Examples...
from d>5 High E completion of d=7 op High energy completion of Dim.7 : Example Particle content: 2 SM singlet (2-)spinors under A SM singlet scalar
from d>5 High E completion of d=7 op High energy completion of Dim.7 : Example Particle content: 2 SM singlet (2-)spinors under A SM singlet scalar Relevant part of Lagrangian
from d>5 High E completion of d=7 op High energy completion of Dim.7 : Example Particle content: 2 SM singlet (2-)spinors under A SM singlet scalar Relevant part of Lagrangian
from d>5 High E completion of d=7 op High energy completion of Dim.7 : Example Particle content: 2 SM singlet (2-)spinors under A SM singlet scalar Relevant part of Lagrangian For inverse seesaw, e.g., Gonzalez-Garcia Valle PL B216 (1989) 360 where
from d>5 High E completion of d=7 op High energy completion of Dim.7 : Example Particle content: 2 SM singlet (2-)spinors under A SM singlet scalar Relevant part of Lagrangian For inverse seesaw, e.g., Gonzalez-Garcia Valle PL B216 (1989) 360 where Neutrino mass (with )
from d>5 High E completion of d=7 op Systematic search for high energy completion: Decomposition Dim.7 operator can be decomposed to
from d>5 High E completion of d=7 op Systematic search for high energy completion: Decomposition Dim.7 operator can be decomposed to Assigning the fields to the outer-legs, we can list the models...
from d>5 High E completion of d=7 op Systematic search for high energy completion: Decomposition Dim.7 operator can be decomposed to Assigning the fields to the outer-legs, we can list the models...
from d>5 High E completion of d=7 op Systematic search for high energy completion: Decomposition Dim.7 operator can be decomposed to One of the choices of SU(2) F F F 1 1 2 or or or Necessary mediators are specified as 3 3 ( 4 ) Assigning the fields to the outer-legs, we can list the models...
from d>5 High E completion of d=7 op Systematic search for high energy completion: Decomposition Dim.7 operator can be decomposed to Assigning the fields to the outer-legs, we can list the models...
from d>5 High E completion of d=7 op Systematic search for high energy completion: Decomposition Dim.7 operator can be decomposed to Only the SU(2) choice is S S S 3 2 3 or ( 4 ) Necessary mediators are specified as Assigning the fields to the outer-legs, we can list the models...
from d>5 High E completion of d=7 op List of the models
from d>5 Summary Neutrino mass from d>5 operators Collider testable neutrino mass generation mechanism Matter parity ( ) forbids d=5 Weinberg op. How does the high E completion look like? Bottom-up approach: List the possible ways to derive the d=7 eff. op. Seesaw for d=7 through tree-diagrams * Connection to the inverse (linear) seesaw mechanism Possible extensions: d=9 tree, loop d=7 References d=7 with SU(2) quartet ( 4 ): Babu Nardi Tavartkiladze PR D80 (2009) 071702 d=9 and a mediator as DM: Kumericki Picek Radovcic PR D86 (2012) 013006, PR D84 (2011)093002 Eff. LNV ops → Nu mass: Babu Leung NP B 619 (2001) 667, de Gouvea Jenkins PR D77 (2008) 013008, Angel Rodd Volkus 1212.6111 Make loops: Farzan Pascoli Schmidt 1208.2732
Neutrino mass from d>5 ops. ( d=7 ) Implementation of the d=7 op at low E High E completion of the d=7 op New Physics in neutrinoless double beta decay ( d=9 ) Effective neutrino mass in 0n2b d=9 ops → half-life time → TeV completion and suggestions to/from LHC
d=9 op. in 0n2b Effective neutrino mass 0n2b experiments are sensitive to Normal hierarchy Inverted hierarchy
d=9 op. in 0n2b Effective neutrino mass 0n2b experiments are sensitive to Unknown Normal hierarchy Inverted hierarchy Gonzalez-Garcia Maltoni Salvado Oscillation exps told... Schwetz, JHEP 1212 (2012) 123
d=9 op. in 0n2b Effective neutrino mass 0n2b experiments are sensitive to Unknown Normal hierarchy Inverted hierarchy Gonzalez-Garcia Maltoni Salvado Oscillation exps told... Schwetz, JHEP 1212 (2012) 123 1212.5226 WMAP-9yr Excluded Cosmological obs. constrain If they conflict with each other, ... PRL 109 (2012) 042501 talks by Senjanovic Lisi and Rodejohann
d=9 op. in 0n2b 0n2b experiments measure... Let us ask the origin of the conflict to 0n2b... talks by Senjanovic Lisi and Rodejohann
d=9 op. in 0n2b 0n2b experiments measure... Let us ask the origin of the conflict to 0n2b... talks by Senjanovic Lisi and Rodejohann Mediated by something with mass of + ~100 MeV A typical momentum of neutrino in nuclei
d=9 op. in 0n2b 0n2b experiments measure... Let us ask the origin of the conflict to 0n2b... talks by Senjanovic Lisi and Rodejohann Mediated by something with mass of + ~100 MeV A typical momentum of neutrino in nuclei ! e g n a r C H L 0n2b exps are sensitive to not only Majorana neutrino mass but also NP at TeV.
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