SLIDE 1 Toshihiko Ota
Saitama University
Florian Bonnet, Martin Hirsch, TO, Walter Winter
based on
JHEP 1303 (2013) 055 arXiv.1212.3045
SLIDE 2 Motivation: Why 0n2b?
Normal hierarchy Inverted hierarchy In SM+3nu, 0n2b exp are sensitive to
Effective nu mass m0 represents the lightest neutrino mass are Majorana phases and 0n2b mediated by neutrinos
Preface
SLIDE 3 Unknown
Normal hierarchy Inverted hierarchy In SM+3nu, 0n2b exp are sensitive to
Effective nu mass
Oscillation exp told us...
e.g., Gonzalez-Garcia Maltoni Salvado Schwetz, JHEP 1212 (2012) 123
m0 represents the lightest neutrino mass are Majorana phases and
S S
f a a r r , , w w e e k k n n
w
0n2b mediated by neutrinos
Motivation: Why 0n2b?
Preface
SLIDE 4 Cosmological obs are sensitive to the other combination of params....
Unknown
Normal hierarchy Inverted hierarchy In SM+3nu, 0n2b exp are sensitive to
Effective nu mass
Oscillation exp told us...
e.g., Gonzalez-Garcia Maltoni Salvado Schwetz, JHEP 1212 (2012) 123
m0 represents the lightest neutrino mass are Majorana phases and
S S
f a a r r , , w w e e k k n n
w
0n2b mediated by neutrinos →Talk by Saito-san
Motivation: Why 0n2b?
Preface
SLIDE 5 Cosmological obs constrain
Effective nu mass
0n2b exp are sensitive to
Sum of nu masses Standard 3nu parameter space
Lightest nu mass
Motivation: Why 0n2b?
Preface
Talk by Saito-san
SLIDE 6 Cosmological obs constrain
Effective nu mass
0n2b exp are sensitive to
SPT reports non-zero mNu?
1303.5076 1212.5226 1212.6267
Planck (combined) WMAP9 (combined) Sum of nu masses Standard 3nu parameter space Excluded by Planck's first result
1303.5076
Lightest nu mass
Motivation: Why 0n2b?
Preface
Talk by Saito-san
SLIDE 7 Excluded by Planck's first result
1303.5076
Cosmological obs constrain
Effective nu mass
0n2b exp are sensitive to
SPT reports non-zero mNu?
PRL110 (2013) 062502 PRL109 (2012) 032505 1303.5076 1212.5226 1212.6267
KamLAND-Zen EXO-200 GERDA (Phase I) Planck (combined) WMAP9 (combined) Sum of nu masses Standard 3nu parameter space 0n2b bounds
PRL 111 (2013) 122503
Lightest nu mass
Talk by Gando-san, Kishimoto-san
Motivation: Why 0n2b?
Preface
Talk by Saito-san
SLIDE 8 Excluded by Planck's first result
1303.5076
Cosmological obs constrain
Effective nu mass
0n2b exp are sensitive to
SPT reports non-zero mNu?
Q: If, in future, they will conflict with each other, what can we learn from them?
PRL110 (2013) 062502 PRL109 (2012) 032505 1303.5076 1212.5226 1212.6267
KamLAND-Zen EXO-200 Planck (combined) WMAP9 (combined) If 0n2b is discovered!? Sum of nu masses 0n2b bounds GERDA (Phase I)
Lightest nu mass
If the region is excluded...
PRL 111 (2013) 122503
Talk by Gando-san, Kishimoto-san
Motivation: Why 0n2b?
Preface
If osc favors NORMAL... Talk by Saito-san Talk by Nunokawa-san
SLIDE 9
Outline
New Physics (d=9) contributions in neutrinoless double beta decay (0n2b) “How sensitive 0n2b experiments to the d=9 ops?” d=9 ops → half-life time of 0n2b processes → list the TeV signatures of each completion Neutrino mass searches as a frontier to new physics: dim=9 ops What do the d=9 ops suggest to TeV scale physics? d=9 ops → decompose them to the fundamental ints. “The list helps us to discriminate the models” Summary “Complementarity between 0n2b and LHC (and ILC)”
SLIDE 10
Outline
New Physics (d=9) contributions in neutrinoless double beta decay (0n2b) “How sensitive 0n2b experiments to the d=9 ops?” d=9 ops → half-life time of 0n2b processes → list the TeV signatures of each completion Neutrino mass searches as a frontier to new physics: dim=9 ops What do the d=9 ops suggest to TeV scale physics? d=9 ops → decompose them to the fundamental ints. “The list helps us to discriminate the models” Summary “Complementarity between 0n2b and LHC (and ILC)”
SLIDE 11 d=9 op. in 0n2b 0n2b experiments are sensitive to...
Standard Nu Model 0n2b in
If we have an additional New Physics contribution to 0n2b...
SLIDE 12 Mediated by with mass of something
+
d=9 NP
d=9 op. in 0n2b
Standard Nu Model 0n2b in
If we have an additional New Physics contribution to 0n2b...
0n2b experiments are sensitive to...
SLIDE 13 d=9 op. in 0n2b
A typical size of momentum of neutrino propagating in nucleus ~100 MeV
Standard Nu Model 0n2b in
If we have an additional New Physics contribution to 0n2b...
Mediated by with mass of something
+
d=9 NP Current exp. limit
0n2b experiments are sensitive to...
SLIDE 14 d=9 op. in 0n2b
Current exp. limit Sensitive to
Standard Nu Model 0n2b in
If we have an additional New Physics contribution to 0n2b...
Mediated by with mass of something
+
d=9 NP
0n2b experiments are sensitive to...
SLIDE 15 d=9 op. in 0n2b
Mediated by with mass of something
+
If we have an additional New Physics contribution to 0n2b... d=9 NP
Standard Nu Model 0n2b in
Current exp. limit Sensitive to
0n2b experiments are sensitive to...
SLIDE 16 d=9 op. in 0n2b
L H C r a n g e ! 0n2b exps are sensitive to not only Majorana neutrino mass but also NP at TeV.
Mediated by with mass of something
+
If we have an additional New Physics contribution to 0n2b... NP d=9
Standard Nu Model 0n2b in
Current exp. limit Sensitive to
0n2b experiments are sensitive to...
SLIDE 17
d=9 op. in 0n2b
d=9 NP …falls into the following 5 types of effective ops.
Effective ops → half-life time
SLIDE 18 d=9 op. in 0n2b
Nuclear matrix elements Phase space factors
NP d=9 …falls into the following 5 types of effective ops. Nice (&compact) formula to calculate the half-life time:
Paes et al. PLB498 (2001) 35
Effective ops → half-life time
SLIDE 19 d=9 op. in 0n2b
Nice (&compact) formula to calculate the half-life time:
Nuclear matrix elements Phase space factors
NP d=9
Paes et al. PLB498 (2001) 35
…falls into the following 5 types of effective ops.
Effective ops → half-life time
Q: What is the high E (TeV) origin of these d=9 effective ops? d=9 ops.
SLIDE 20 d=9 op. in 0n2b
Q: What is the high E (TeV) origin of these d=9 effective ops? List high E (TeV) completions → complementarity with LHC
bottom-up
d=9 ops. Nice (&compact) formula to calculate the half-life time:
Nuclear matrix elements Phase space factors
NP d=9
Paes et al. PLB498 (2001) 35
…falls into the following 5 types of effective ops.
Effective ops → half-life time
SLIDE 21
Outline
New Physics (d=9) contributions in neutrinoless double beta decay (0n2b) → list the TeV signatures of each completion What do the d=9 ops suggest to TeV scale physics? d=9 ops → decompose them to the fundamental ints. “The list helps us to discriminate the models” “How sensitive 0n2b experiments to the d=9 ops?” d=9 ops → half-life time of 0n2b processes Neutrino mass searches as a frontier to new physics: dim=9 ops Summary “Complementarity between 0n2b and LHC (and ILC)”
SLIDE 22
Exhaustive bottom-up approach
Ef fective ops → High E completions
A well-known example: 3 types of Seesaw mechanism Theory at
SLIDE 23
Exhaustive bottom-up approach
Ef fective ops → High E completions
A well-known example: 3 types of Seesaw mechanism Theory at
SLIDE 24
Exhaustive bottom-up approach
Ef fective ops → High E completions
A well-known example: 3 types of Seesaw mechanism d=5 Weinberg operator Theory at (would-be neutrino mass)
SLIDE 25
Exhaustive bottom-up approach
Ef fective ops → High E completions
A well-known example: 3 types of Seesaw mechanism d=5 Weinberg operator Theory at (would-be neutrino mass) to bottom-up
SLIDE 26
Exhaustive bottom-up approach
Ef fective ops → High E completions
A well-known example: 3 types of Seesaw mechanism d=5 Weinberg operator Theory at (would-be neutrino mass) to bottom-up Ansatz The op comes from a tree diagram
SLIDE 27
Exhaustive bottom-up approach
Ef fective ops → High E completions
A well-known example: 3 types of Seesaw mechanism d=5 Weinberg operator Theory at (would-be neutrino mass) to bottom-up Ansatz The op comes from a tree diagram Seesaw mech. Theory at
SLIDE 28 Exhaustive bottom-up approach
Ef fective ops → High E completions
A well-known example: 3 types of Seesaw mechanism d=5 Weinberg operator Theory at (would-be neutrino mass) to bottom-up Ansatz The op comes from a tree diagram Different types, LFV Leptogenesis
...
Seesaw mech. Diffrent Phenos Discrimination
Theory at
SLIDE 29 Exhaustive bottom-up approach
Ef fective ops → High E completions
A well-known example: 3 types of Seesaw mechanism d=5 Weinberg operator Theory at (would-be neutrino mass) to bottom-up Ansatz The op comes from a tree diagram Different types, LFV Leptogenesis
...
Seesaw mech. Diffrent Phenos Discrimination
Theory at
NP contribution to 0n2b
SLIDE 30 Exhaustive bottom-up approach
Ef fective ops → High E completions
0n2b experiments Discover! (or constrain)
SLIDE 31 Exhaustive bottom-up approach NP d=9
Ef fective ops → High E completions
0n2b experiments Discover! (or constrain)
@
SLIDE 32 Exhaustive bottom-up approach NP d=9
Ef fective ops → High E completions
0n2b experiments Discover! (or constrain)
Decompose
to tree diagrams
Topology #I Topology #II
@ @
SLIDE 33 Exhaustive bottom-up approach NP d=9
Ef fective ops → High E completions
0n2b experiments Discover! (or constrain)
Decompose
to tree diagrams
Topology #I Topology #II
Necessary Mediators How to decompose
. . .
List of high E completions@
@ @
SLIDE 34
Topology #I Topology #II
Necessary Mediators How to decompose
. . .
List of high E completions@
@ Exhaustive bottom-up approach ps ams
Ef fective ops → High E completions
@
SLIDE 35 Effective theories@
Topology #I Topology #II
Necessary Mediators How to decompose
. . .
List of high E completions@
@ Exhaustive bottom-up approach
Ef fective ops → High E completions
Re-integrate out the Mediators ps ams @
SLIDE 36 Low E pheno #1 Low E pheno #2 Low E pheno #3 Low E pheno #4
. . .
Effective theories@ + s ams
Topology #I Topology #II
Necessary Mediators How to decompose
. . .
List of high E completions@
@ Exhaustive bottom-up approach
Ef fective ops → High E completions
Re-integrate out the Mediators @
SLIDE 37 Low E pheno #1 Low E pheno #2 Low E pheno #3 Low E pheno #4
. . .
Effective theories@ + we can identify the models@ ps ams
Topology #I Topology #II
Necessary Mediators How to decompose
. . .
List of high E completions@
@ Exhaustive bottom-up approach
Ef fective ops → High E completions
Re-integrate out the Mediators Testing phenos, We can explore high E models relating to , systematically. @
SLIDE 38
An example, let us decompose d=9 op as Taking Topology #I
Decompositions Well-known examples
SLIDE 39
let us decompose d=9 op as Taking Topology #I
Let us take vectors
An example,
Decompositions Well-known examples
SLIDE 40 Necessary mediators where (U(1) , SU(3) )
em c
let us decompose d=9 op as Taking Topology #I An example,
Decompositions Well-known examples
SLIDE 41 Rediscovery of the standard neutrino mass contribution
Necessary mediators
All the outer fermions must be left-handed
where (U(1) , SU(3) )
em c
let us decompose d=9 op as
L L L L L L
Taking Topology #I An example,
Decompositions Well-known examples
SLIDE 42 Rediscovery of the standard neutrino mass contribution
Necessary mediators
All the outer fermions must be left-handed
where (U(1) , SU(3) )
em c
let us decompose d=9 op as
L L L L L L
Taking Topology #I In Seesaw model, right-handed neutrinos (sterile neutrinos) can also mediate this diagram. An example,
Decompositions Well-known examples
SLIDE 43 Another example, Decomposition Necessary mediators where (U(1) , SU(3) )
em c
Decompositions Well-known examples
SLIDE 44 Another example,
R-parity violating SUSY models
Decomposition Necessary mediators
Hirsch Klapdor-Kleingrothaus Kovalenko, PLB378 (1996) 17, PRD54 (1996) 4207
SUSY (Rp-conserved) search at LHC 1st generation squarks and gluino should be heavier than 1TeV where (U(1) , SU(3) )
em c
R L L L L R L/R R/L
Decompositions Well-known examples
SLIDE 45 Another example, Decomposition Necessary mediators
Another diagram in
where (U(1) , SU(3) )
em c
R-parity violating SUSY models
Hirsch Klapdor-Kleingrothaus Kovalenko, PLB378 (1996) 17, PRD54 (1996) 4207
SUSY (Rp-conserved) search at LHC 1st generation squarks and gluino should be heavier than 1TeV
L L R R R L L R
Decompositions Well-known examples
SLIDE 46 Decompositions List of high E completions
Possible decompositions and Necessary mediators (only Topology #I) Long Range? Decomposition which can contain neutrino propagation 4 possibilities for each decom. S-F-S, V-F-V, S-F-V, and V-F-S Mediators are specified with U(1) EM charge SU(3) colour charge Here, we do not specify the chiralities of outer fermions (SU(2) and U(1) )
L Y
→ Decom of chirality-specified ops
Bonnet Hirsch O Winter
RPV RPV SnuM
For Top #II → Bonnet Hirsch O Winter
Seesaw
SLIDE 47 Decompositions List of high E completions
Long Range? Decomposition which can contain neutrino propagation 4 possibilities for each decom. S-F-S, V-F-V, S-F-V, and V-F-S Mediators are specified with U(1) EM charge SU(3) colour charge Here, we do not specify the chiralities of outer fermions Possible decompositions and Necessary mediators (only Topology #I) (SU(2) and U(1) )
L Y For Top #II → Bonnet Hirsch O Winter
→ Decom of chirality-specified ops
Bonnet Hirsch O Winter JHEP1303 (2013) 055
SLIDE 48 Decompositions List of high E completions
Long Range? Decomposition which can contain neutrino propagation 4 possibilities for each decom. S-F-S, V-F-V, S-F-V, and V-F-S Mediators are specified with U(1) EM charge SU(3) colour charge Here, we do not specify the chiralities of outer fermions Possible decompositions and Necessary mediators (only Topology #I) (SU(2) and U(1) )
L Y For Top #II → Bonnet Hirsch O Winter
→ Decom of chirality-specified ops
Bonnet Hirsch O Winter JHEP1303 (2013) 055
SLIDE 49 Decompositions List of high E completions
Long Range? Decomposition which can contain neutrino propagation 4 possibilities for each decom. S-F-S, V-F-V, S-F-V, and V-F-S Mediators are specified with U(1) EM charge SU(3) colour charge Here, we do not specify the chiralities of outer fermions Possible decompositions and Necessary mediators (only Topology #I) (SU(2) and U(1) )
L Y For Top #II → Bonnet Hirsch O Winter
→ Decom of chirality-specified ops
Bonnet Hirsch O Winter JHEP1303 (2013) 055
SLIDE 50 Decompositions List of high E completions
Let us have a closer look
Long Range? Decomposition which can contain neutrino propagation 4 possibilities for each decom. S-F-S, V-F-V, S-F-V, and V-F-S Mediators are specified with U(1) EM charge SU(3) colour charge Here, we do not specify the chiralities of outer fermions Possible decompositions and Necessary mediators (only Topology #I) (SU(2) and U(1) )
L Y
at this example.
For Top #II → Bonnet Hirsch O Winter
→ Decom of chirality-specified ops
Bonnet Hirsch O Winter JHEP1303 (2013) 055
SLIDE 51 High E models Collider testability
Take scalar mediators Specify the chiralities
and Necessary mediators
SLIDE 52 High E models
=
Take scalar mediators Specify the chiralities
and Necessary mediators
Collider testability
SLIDE 53 High E models
=
Take scalar mediators Specify the chiralities
and Necessary mediators
Collider testability
SLIDE 54 High E models
=
Take scalar mediators Specify the chiralities
and Necessary mediators Take 's =1, = 0n2b half-life:
Collider testability
SLIDE 55 High E models
=
Take scalar mediators Specify the chiralities
Q: What does this model suggest to LHC observables? and Necessary mediators Take 's =1, = 0n2b half-life:
Collider testability
SLIDE 56 High E models
Take scalar mediators Specify the chiralities
Diquark (DQ): and Necessary mediators
Collider testability
SLIDE 57 High E models
Take scalar mediators Specify the chiralities
jet jet and Necessary mediators
arXiv 1210.1718
Diquark (DQ): Search for a resonance in 2-jets
Collider testability
SLIDE 58 High E models
Take scalar mediators Specify the chiralities
Leptoquark (LQ): and Necessary mediators
Collider testability
SLIDE 59 High E models
Take scalar mediators Specify the chiralities
and Necessary mediators
E x c l u d e d
arXiv 1112.4828
jet jet
Leptoquark (LQ): Search for a (eq)-pair
Collider testability
SLIDE 60 High E models
Take scalar mediators Specify the chiralities
Vector-like Quark (VLQ): and Necessary mediators
Collider testability
SLIDE 61 High E models
Take scalar mediators Specify the chiralities
Vector-like Quark (VLQ): Search for a (qW)-pair and Necessary mediators
Excluded
arXiv 1202.3389
jet jet
Collider testability
SLIDE 62
Outline
New Physics (d=9) contributions in neutrinoless double beta decay (0n2b) → list the TeV signatures of each completion What do the d=9 ops suggest to TeV scale physics? d=9 ops → decompose them to the fundamental ints. “The list helps us to discriminate the models” “How sensitive 0n2b experiments to the d=9 ops?” d=9 ops → half-life time of 0n2b processes Neutrino mass searches as a frontier to new physics: dim=9 ops Summary “Complementarity between 0n2b and LHC (and ILC)”
SLIDE 63
Summary
What can we learn from this table? If 0n2b conflicts with cosmological obs., It could be a large d=9 contribution d=9 op. : Bridge between neutrino and TeV scale
SLIDE 64
What can we learn from this table? If 0n2b conflicts with cosmological obs., It could be a large d=9 contribution Such a large d=9 contribution should leave the trace in LHC except for T-I-1-i (and T-II-1)
Summary
Colour 3 Colour 8 that does not contain a coloured mediator d=9 op. : Bridge between neutrino and TeV scale Colour 6
SLIDE 65
What can we learn from this table? If 0n2b conflicts with cosmological obs., It could be a large d=9 contribution Such a large d=9 contribution should leave the trace in LHC that does not contain except for T-I-1-i (and T-II-1) T-I-1-i can be examined at ILC! exotic interactions with electron! a coloured mediator
Summary
d=9 op. : Bridge between neutrino and TeV scale
SLIDE 66
What can we learn from this table? If 0n2b conflicts with cosmological obs., It could be a large d=9 contribution Such a large d=9 contribution should leave the trace in LHC except for T-I-1-i (and T-II-1) T-I-1-i can be examined at ILC! exotic interactions with electron! My last message: 0n2b exps, cosmological obs, LHC and ILC are complementary!
Summary
that does not contain a coloured mediator d=9 op. : Bridge between neutrino and TeV scale
SLIDE 67 Back-up
New Physics (d=9) contributions in neutrinoless double beta decay (0n2b) Seeking a relation to the models at the TeV scale TeV scale models with LNV → Models for radiative neutrino masses
In progress Under discussion
SLIDE 68
Maybe, we have already known the mediators appear in the big table...
Seeking the relation to the models
#L must be violated in somewhere They have masses of the TeV scale
Examples
SLIDE 69 Maybe, we have already known the mediators appear in the big table... Radiative neutrino mass models with TeV ingredients
Seeking the relation to the models
#L must be violated in somewhere They have masses of the TeV scale Size of two contributions to 0n2b can be comparable! Standard one dim=9 ~ 0.1eV ~1 TeV
In such models
Examples
SLIDE 70 Maybe, we have already known the mediators appear in the big table... Radiative neutrino mass models with TeV ingredients
Seeking the relation to the models
#L must be violated in somewhere They have masses of the TeV scale Size of two contributions to 0n2b can be comparable!
In such models
Examples
Standard one dim=9 ~ 0.1eV ~1 TeV Difference → d=9 contribution in reality
Discover! Suggested! Indicated!
If d=9 and are related in a model...
(just for sketching the idea)
SLIDE 71 Maybe, we have already known the mediators appear in the big table... Radiative neutrino mass models with TeV ingredients
Seeking the relation to the models
#L must be violated in somewhere They have masses of the TeV scale Size of two contributions to 0n2b can be comparable!
In such models
Examples
Standard one dim=9 ~ 0.1eV ~1 TeV Difference → d=9 contribution in reality
Discover! Suggested! Indicated!
If d=9 and are related in a model... With the info on this plane, we have a chance to know the origin of neutrino mass!
(just for sketching the idea)
SLIDE 72 NP d=9
Coloured Babu-Zee model with LQ(3, 1, -1/3), DQ(6, 1, -2/3)
Dim=9 op is directly proportional to , and its contribution to 0n2b seems to be large.
=
Kohda Sugiyama Tsumura PLB718 (2013) 1436
Maybe, we have already known the mediators appear in the big table... Radiative neutrino mass models with TeV ingredients
Seeking the relation to the models
#L must be violated in somewhere They have masses of the TeV scale Size of two contributions to 0n2b can be comparable! Standard one dim=9 ~ 0.1eV ~1 TeV
In such models
Examples introduced in recent papers, based on Decomposition of LLQQd d
R R
Examples
SLIDE 73 Coloured Babu-Zee model with LQ(3, 1, -1/3), DQ(6, 1, -2/3)
Dim=9 op is directly proportional to , and its contribution to 0n2b seems to be large.
=
Topology #2 diagram
Kohda Sugiyama Tsumura PLB718 (2013) 1436
Maybe, we have already known the mediators appear in the big table... Radiative neutrino mass models with TeV ingredients
Seeking the relation to the models
#L must be violated in somewhere They have masses of the TeV scale Size of two contributions to 0n2b can be comparable! Standard one dim=9 ~ 0.1eV ~1 TeV
In such models
Examples introduced in recent papers, based on Decomposition of LLQQd d
R R
Examples
SLIDE 74 Coloured Babu-Zee model with LQ(3, 1, -1/3), DQ(6, 1, -2/3)
Dim=9 op is directly proportional to , and its contribution to 0n2b seems to be large.
= =
Topology #2 diagram
Kohda Sugiyama Tsumura PLB718 (2013) 1436
Maybe, we have already known the mediators appear in the big table... Radiative neutrino mass models with TeV ingredients
Seeking the relation to the models
#L must be violated in somewhere They have masses of the TeV scale Size of two contributions to 0n2b can be comparable! Standard one dim=9 ~ 0.1eV ~1 TeV
In such models
Examples introduced in recent papers, based on Decomposition of LLQQd d
R R
Examples
SLIDE 75 Two-loop mNu model with LQ(3, 1, -1/3), Majorana fermion (8, 1, 0)
Dim=9 op is directly proportional to , and its contribution to 0n2b seems to be large.
=
Topology #1 diagram
Angel Cai Rodd Schmidt Volkas 1308.0463
Maybe, we have already known the mediators appear in the big table... Radiative neutrino mass models with TeV ingredients
Seeking the relation to the models
#L must be violated in somewhere They have masses of the TeV scale Size of two contributions to 0n2b can be comparable! Standard one dim=9 ~ 0.1eV ~1 TeV
In such models
Examples introduced in recent papers, based on Decomposition of LLQQd d
R R
Examples
SLIDE 76 Two-loop mNu model with LQ(3, 1, -1/3), Majorana fermion (8, 1, 0)
Dim=9 op is directly proportional to , and its contribution to 0n2b seems to be large.
= =
Topology #1 diagram
Angel Cai Rodd Schmidt Volkas 1308.0463
Maybe, we have already known the mediators appear in the big table... Radiative neutrino mass models with TeV ingredients
Seeking the relation to the models
#L must be violated in somewhere They have masses of the TeV scale Size of two contributions to 0n2b can be comparable! Standard one dim=9 ~ 0.1eV ~1 TeV
In such models
Examples introduced in recent papers, based on Decomposition of LLQQd d
R R
Examples
SLIDE 77 Colour-8 mNu model with Scalar (8, 2, 1/2), Majorana fermion (8, 1, 0)
=
Topology #1 diagram
Choubey Duerr Mitra Rodejohann JHEP 1205 (2012) 017
Maybe, we have already known the mediators appear in the big table... Radiative neutrino mass models with TeV ingredients
Seeking the relation to the models
#L must be violated in somewhere They have masses of the TeV scale Size of two contributions to 0n2b can be comparable! Standard one dim=9 ~ 0.1eV ~1 TeV
In such models
Examples introduced in recent papers, based on Decomposition of LLQQd d
R R
Examples
In this case, dim=9 op is not directly proportional to
SLIDE 78 In this case, dim=9 op is not directly proportional to
=
Topology #1 diagram
Maybe, we have already known the mediators appear in the big table... Radiative neutrino mass models with TeV ingredients
Seeking the relation to the models
#L must be violated in somewhere They have masses of the TeV scale Size of two contributions to 0n2b can be comparable! Standard one dim=9 ~ 0.1eV ~1 TeV
In such models
Examples introduced in recent papers, based on Decomposition of LLQQd d
R R
Examples
Colour-8 mNu model
Choubey Duerr Mitra Rodejohann JHEP 1205 (2012) 017
with Scalar (8, 2, 1/2), Majorana fermion (8, 1, 0)
=
SLIDE 79 Neutrino mass models based on the effective operator approach
Babu Leung Nucl Phys B619 (2001) 667 de Gouvea Jenkins Phys. Rev. D77 (2008) 013008 del Aguila Aparici Bhattacharya Santamaria Wudka JHEP 1206 (2012) 146, JHEP 1205 (2012) 133 Angel Rodd Volkas Phys. Rev. D87 (2013) 073007 Farzan Pascoli Schmidt JHEP 1303 (2013) 107
Maybe, we have already known the mediators appear in the big table... Radiative neutrino mass models with TeV ingredients
Seeking the relation to the models
#L must be violated in somewhere They have masses of the TeV scale Size of two contributions to 0n2b can be comparable! Standard one dim=9 ~ 0.1eV ~1 TeV
In such models and more... Schechter Valle Phys. Rev. D25 (1982) 2951
Examples
