Toshihiko Ota
Saitama University

based onFlorian Bonnet, Martin Hirsch, TO, Walter WinterJHEP 1303 (2013) 055
arXiv.1212.3045

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.

Four-Fermi

Non-standard (LFV) neutrino ints
→ Talk by O.Yasuda (Apr), J. Sato (Aug)

lat
e
R

ed

gh
u
o
t hr

(2)
U
S

Charged LFV (in SUSY)→ Talk by M. Nagai

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

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

0n2b process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

0n2b process
High E completion@

Seesaw mech.
(tree)
Seesaw shaved with Occam's razor→ Talk by M. Ibe (Aug)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

0n2b process
High E completion@

Seesaw mech.
(tree)?

?

?

?

What do these eff. ops. suggest to new physics at high E scales?
Exhaustive bottom-up approachPreface
If the SM is a low-E effective model of a fundamental theory...

: A typical scale of New physics

alk
t
his
t
in
p
9o
=
nd
o
s

cu
o
f
Effective operators are a typical low-E remnant of New
physics
We

Weinberg op.

Four-Fermi

High E completion@

Seesaw mech.
(tree)?

?

?

?

What do these eff. ops. suggest to new physics at high E scales?
Exhaustive bottom-up approach

Outline
New Physics (d=9) contributions in neutrinoless double beta decay (0n2b)
Motivation: Why 0n2b? Why dim=9 ops?
d=9 ops → half-life time of 0n2b processes“How sensitive 0n2b experiments to the d=9 ops?”
What do the d=9 ops suggest to TeV scale physics?
d=9 ops → decompose them to the fundamental ints.
→ list the TeV signatures of each completion“The list helps us to discriminate the models”
Seeking a relation to the models at the TeV scale
TeV scale models with LNV → Models for radiative neutrino masses

Outline
New Physics (d=9) contributions in neutrinoless double beta decay (0n2b)
Motivation: Why 0n2b? Why dim=9 ops?
d=9 ops → half-life time of 0n2b processes“How sensitive 0n2b experiments to the d=9 ops?”
What do the d=9 ops suggest to TeV scale physics?
d=9 ops → decompose them to the fundamental ints.
Summary→ list the TeV signatures of each completion“The list helps us to discriminate the models”

Seeking a relation to the models at the TeV scale
TeV scale models with LNV → Models for radiative neutrino masses

Outline
New Physics (d=9) contributions in neutrinoless double beta decay (0n2b)
Motivation: Why 0n2b? Why dim=9 ops?
d=9 ops → half-life time of 0n2b processes“How sensitive 0n2b experiments to the d=9 ops?”
What do the d=9 ops suggest to TeV scale physics?
d=9 ops → decompose them to the fundamental ints.
→ list the TeV signatures of each completion“The list helps us to discriminate the models”
Seeking a relation to the models at the TeV scale
TeV scale models with LNV → Models for radiative neutrino masses

Why 0n2b? Why d=9 op.?

Effective neutrino mass

In SM+3nu, 0n2b exp are sensitive to
Effective nu mass

Normal hierarchy
Inverted hierarchy

0n2b mediatedby neutrinos
m0 represents the lightest neutrino mass
and are Majorana phases

Why 0n2b? Why d=9 op.?
In SM+3nu, 0n2b exp are sensitive to
Effective nu mass

Effective neutrino mass

wn
o
kn
n
U

Normal hierarchy
0n2b mediatedby neutrinos

Inverted hierarchy

m0 represents the lightest neutrino mass
and are Majorana phases

Oscillation exp told us...

e.g., Gonzalez-Garcia Maltoni Salvado Schwetz, JHEP 1212 (2012) 123

So

far

,w

n
ek

ow

Why 0n2b? Why d=9 op.?
In SM+3nu, 0n2b exp are sensitive to
Effective nu mass

Effective neutrino mass

wn
o
kn
n
U

Normal hierarchy
Inverted hierarchy

0n2b mediatedby neutrinos
m0 represents the lightest neutrino mass
and are Majorana phases

Oscillation exp told us...

e.g., Gonzalez-Garcia Maltoni Salvado Schwetz, JHEP 1212 (2012) 123

f
So

a

w
r,

e

o
kn

w

Cosmological obs are sensitive to the other combination of params....
→Talk by M. Hasegawa (Aug)Why 0n2b? Why d=9 op.?
0n2b exp are sensitive to
Effective nu mass

Effective neutrino mass

Cosmological obs constrain
Sum of nu masses

Lightest nu mass
Standard 3nu parameter space

Why 0n2b? Why d=9 op.?

Sum of nu masses

Planck (combined)
1303.5076

WMAP9 (combined)
1212.5226

1303.5076

Effective nu mass

Cosmological obs constrain

Excluded by
Planck's first result

0n2b exp are sensitive to

Effective neutrino mass

Lightest nu mass
Standard 3nu parameter space

SPT reports
non-zero mNu?
1212.6267

Why 0n2b? Why d=9 op.?
0n2b exp are sensitive to

Effective neutrino mass

Cosmological obs constrain

Effective nu mass

Sum of nu masses

Talk by I. Shimizu(Apr)
KamLAND-Zen

Planck (combined)
1303.5076

0n2b bounds

Excluded by
Planck's first result

EXO-200
PRL109 (2012) 032505

GERDA (Phase I)
1307.4720

In future

WMAP9 (combined)
1212.5226

1303.5076

PRL110 (2013) 062502

Lightest nu mass

Standard 3nu parameter space

SPT reports
non-zero mNu?
1212.6267

Why 0n2b? Why d=9 op.?
0n2b exp are sensitive to

Effective neutrino mass

Cosmological obs constrain

Effective nu mass

Sum of nu masses

Talk by I. Shimizu(Apr)
KamLAND-Zen

Planck (combined)
1303.5076

0n2b bounds

If the region is excluded...

PRL110 (2013) 062502

PRL109 (2012) 032505

GERDA (Phase I)
1307.4720

In future

Lightest nu mass

WMAP9 (combined)
1212.5226

1303.5076

EXO-200

Excluded by
Planck's first result

If 0n2b is discovered!?

SPT reports
non-zero mNu?
1212.6267

Q: If, in future, they will conflict with each other, what can we learn from them?

d=9 op. in 0n2b

0n2b experiments measure...

If we have an additional New Physics contribution to 0n2b...

0n2b inStandard Nu Modeld=9 op. in 0n2b

0n2b experiments measure...

If we have an additional New Physics contribution to 0n2b...

+0n2b inStandard Nu ModelNP
d=9Mediated bysomethingwith mass ofd=9 op. in 0n2b

0n2b experiments measure...

If we have an additional New Physics contribution to 0n2b...

+

NP
d=9

0n2b inStandard Nu Model

Current exp. limit~100 MeV
A typical size of momentum thatneutrino propagating in nucleus has

Mediated bysomethingwith mass ofd=9 op. in 0n2b

0n2b experiments measure...

If we have an additional New Physics contribution to 0n2b...

+

NP
d=9

Mediated bysomethingwith mass of

0n2b inStandard Nu Model

Current exp. limit

Sensitive tod=9 op. in 0n2b

0n2b experiments measure...

If we have an additional New Physics contribution to 0n2b...

+

NP
d=9

Mediated bysomethingwith mass of

0n2b inStandard Nu Model

Current exp. limit

Sensitive tod=9 op. in 0n2b

0n2b experiments measure...

If we have an additional New Physics contribution to 0n2b...

+

NP
d=9

Mediated bysomethingwith mass of

0n2b inStandard Nu Model

Current exp. limit

Sensitive to

r
C
LH

!
e
g
an

0n2b exps are sensitive to not only Majorana neutrino mass but also NP at TeV.

d=9 op. in 0n2b

Effective ops → half-life time

…falls into the following 5 types of effective ops.
NP
d=9

d=9 op. in 0n2b

Effective ops → half-life time

…falls into the following 5 types of effective ops.
NP
d=9

Nice (&compact) formula to calculate the half-life time: Paes et al. PLB498 (2001) 35

Nuclear matrix elements
Phase space factors

d=9 op. in 0n2b

Effective ops → half-life time

…falls into the following 5 types of effective ops.
NP
d=9

Nice (&compact) formula to calculate the half-life time: Paes et al. PLB498 (2001) 35

Nuclear matrix elements
Phase space factors

Q: What is the high E (TeV) origin of these d=9 effective ops?
d=9 ops.

d=9 op. in 0n2b

Effective ops → half-life time

…falls into the following 5 types of effective ops.
NP
d=9

Nice (&compact) formula to calculate the half-life time: Paes et al. PLB498 (2001) 35

Nuclear matrix elements
Phase space factors

Q: What is the high E (TeV) origin of these d=9 effective ops?
d=9 ops. bottom-up List high E (TeV) completions → complementarity with LHC

Outline
New Physics (d=9) contributions in neutrinoless double beta decay (0n2b)
Motivation: Why 0n2b? Why dim=9 ops?
d=9 ops → half-life time of 0n2b processes“How sensitive 0n2b experiments to the d=9 ops?”
What do the d=9 ops suggest to TeV scale physics?
d=9 ops → decompose them to the fundamental ints.
→ list the TeV signatures of each completion“The list helps us to discriminate the models”
Seeking a relation to the models at the TeV scale
TeV scale models with LNV → Models for radiative neutrino masses

Effective ops → High E completions
Exhaustive bottom-up approach
0n2b experiments

Discover!
(or constrain)Effective ops → High E completions
Exhaustive bottom-up approach
0n2b experiments

Discover!
(or constrain)

NP
d=9

@

Effective ops → High E completions
Exhaustive bottom-up approach
0n2b experiments

Discover!
(or constrain)

NP
d=9

@
Decompose
Eff. d=9 ops
to tree diagrams

or

or

or

Topology #IororTopology #II

Effective ops → High E completions
Exhaustive bottom-up approach
0n2b experiments

Necessary Mediators

How to decompose

Discover!
(or constrain)

NP
d=9

...
List of high E completions@@
Decompose
Eff. d=9 ops
to tree diagrams

or

or

or

Topology #IororTopology #II

Effective ops → High E completions
Exhaustive bottom-up approach
Necessary Mediators

How to decompose...
List of high E completions@

@

or

ms
or

or

Topology #IororTopology #II

Effective ops → High E completions
Exhaustive bottom-up approach

Re-integrate out the Mediators

Necessary Mediators

How to decompose...
List of high E completions@

@

or

ms
or

or

Topology #IororTopology #II

Effective theories@Effective ops → High E completions
Exhaustive bottom-up approach

Re-integrate out the Mediators

Necessary Mediators

How to decompose

Effective theories@+

Low E pheno #1
Low E pheno #2
Low E pheno #3
Low E pheno #4

...

...
List of high E completions@

@

or

ms
or

or

Topology #IororTopology #II

Effective ops → High E completions
Exhaustive bottom-up approach

Re-integrate out the Mediators

Necessary Mediators

How to decompose

Effective theories@+

Low E pheno #1
Low E pheno #2
Low E pheno #3
Low E pheno #4

...

...
List of high E completions@

@

or

ms
or

or

Topology #IororTopology #II

Testing phenos,
we can identify
the models@
We can explore
high E models relating to, systematically.

Decompositions
An example,
Taking Topology #I
let us decompose d=9 op as

Well-known examples

Decompositions
An example,
Taking Topology #I
let us decompose d=9 op as

Let us take vectors

Well-known examples

Decompositions
An example,
Taking Topology #I
let us decompose d=9 op as

Well-known examples

Necessary mediators

where (U(1)em , SU(3)c )Decompositions
An example,
Taking Topology #I
let us decompose d=9 op as

L

L

L

Well-known examples

Necessary mediators

L

where (U(1)em , SU(3)c )Rediscovery of the standard neutrinomass contribution
All the outer fermions must be left-handed

LLDecompositions
An example,
Taking Topology #I
let us decompose d=9 op as

L

L

L

Well-known examples

Necessary mediators

L

where (U(1)em , SU(3)c )Rediscovery of the standard neutrinomass contribution
All the outer fermions must be left-handed

L

L

In Seesaw model,
right-handed neutrinos (sterile neutrinos)
can also mediate this diagram.

Decompositions

Well-known examples

Another example,
Decomposition

Necessary mediators

where (U(1)em , SU(3)c )Decompositions

Well-known examples

Another example,
Decomposition

L/R

L

Necessary mediators

R/L

L

where (U(1)em , SU(3)c )R-parity violating SUSY models

LR

Hirsch Klapdor-Kleingrothaus Kovalenko,
PLB378 (1996) 17, PRD54 (1996) 4207

R

L

SUSY (Rp-conserved) search at LHC
1st generation squarks and gluino
should be heavier than 1TeV

Decompositions

Well-known examples

Another example,
Decomposition

R

L

R

L

Necessary mediators

R

L

er
h
t
o
An

ram
g
a
di

in

where (U(1)em , SU(3)c )R-parity violating SUSY models
Hirsch Klapdor-Kleingrothaus Kovalenko,
PLB378 (1996) 17, PRD54 (1996) 4207

R

L

SUSY (Rp-conserved) search at LHC
1st generation squarks and gluino
should be heavier than 1TeV

Decompositions

List of high E completions
Possible decompositions
SnuM
andSeesaw Necessary mediators(only Topology #I)
RPV

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 thechiralities of outer fermions(SU(2)L and U(1)Y )→ Decom of chirality-specified ops

RPV

For Top #II → Bonnet Hirsch O WinterBonnet Hirsch O WinterJHEP1303 (2013) 055

Long Range?
Decomposition which cancontain neutrino propagation

Decompositions

List of high E completions
Possible decompositions
andNecessary mediators(only Topology #I)
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 thechiralities of outer fermions(SU(2)L and U(1)Y )→ Decom of chirality-specified ops
Bonnet Hirsch O WinterJHEP1303 (2013) 055

For Top #II → Bonnet Hirsch O WinterLong Range?
Decomposition which cancontain neutrino propagation

Decompositions

List of high E completions
Possible decompositions
andNecessary mediators(only Topology #I)
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 thechiralities of outer fermions(SU(2)L and U(1)Y )→ Decom of chirality-specified ops
Bonnet Hirsch O WinterJHEP1303 (2013) 055

For Top #II → Bonnet Hirsch O WinterLong Range?
Decomposition which cancontain neutrino propagation

Decompositions

List of high E completions
Possible decompositions
andNecessary mediators(only Topology #I)
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 thechiralities of outer fermions(SU(2)L and U(1)Y )→ Decom of chirality-specified ops
Bonnet Hirsch O WinterJHEP1303 (2013) 055

For Top #II → Bonnet Hirsch O WinterLong Range?
Decomposition which cancontain neutrino propagation

Decompositions

List of high E completions
Possible decompositions
andNecessary mediators(only Topology #I)okoler ple.
socl xamae
ave this
h
s at
tu
e
L

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 thechiralities of outer fermions(SU(2)L and U(1)Y )→ Decom of chirality-specified ops
Bonnet Hirsch O WinterJHEP1303 (2013) 055

For Top #II → Bonnet Hirsch O WinterLong Range?
Decomposition which cancontain neutrino propagation

High E models

An example
Take scalar mediators
Specify the chiralities

Necessary mediators

andHigh E models

An example
Take scalar mediators
Specify the chiralities

Necessary mediators

and=High E models

An example
Take scalar mediators
Specify the chiralities

Necessary mediators

and=High E models

An example
Take scalar mediators
Specify the chiralities

Necessary mediators

and=Take 's =1,
0n2b half-life:=

High E models

An example
Take scalar mediators
Specify the chiralities

Necessary mediators

and=Take 's =1,
0n2b half-life:
Exp. bound:
Q: What does this model suggest to LHC observables?

=

High E models

An example
Take scalar mediators
Specify the chiralities

Necessary mediators

andDiquark (DQ):High E models

An example
Take scalar mediators
Specify the chiralities

Necessary mediators

andDiquark (DQ): Search for a resonance in 2-jets
jetover this mass range
arXiv 1210.1718

jetHigh E models

An example
Take scalar mediators
Specify the chiralities

Necessary mediators

andLeptoquark (LQ):High E models

An example
Take scalar mediators
Specify the chiralities

Necessary mediators

andLeptoquark (LQ): Search for a (eq)-pair

jet

Ex
clu
de
d

jet

arXiv 1112.4828

High E models

An example
Take scalar mediators
Specify the chiralities

Necessary mediators

andVector-like Quark (VLQ):High E models

An example
Take scalar mediators
Specify the chiralities

Necessary mediators

andVector-like Quark (VLQ): Search for a (qW)-pairExcludedjet

jet

arXiv 1202.3389

Outline
New Physics (d=9) contributions in neutrinoless double beta decay (0n2b)
Motivation: Why 0n2b? Why dim=9 ops?
d=9 ops → half-life time of 0n2b processes“How sensitive 0n2b experiments to the d=9 ops?”
What do the d=9 ops suggest to TeV scale physics?
d=9 ops → decompose them to the fundamental ints.
Summary→ list the TeV signatures of each completion→ The list helps us to discriminate the models

Seeking a relation to the models at the TeV scale
TeV scale models with LNV → Models for radiative neutrino masses

d=9 op. : Bridge between neutrino and TeV scale

Summary

What can we learn from this table?
If 0n2b conflicts withcosmological obs.,
It could be a large d=9 contribution

d=9 op. : Bridge between neutrino and TeV scale

Summary

What can we learn from this table?
If 0n2b conflicts withcosmological obs.,

Colour 8
Colour 3

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)
that does not containa coloured mediator

Colour 6

d=9 op. : Bridge between neutrino and TeV scale

Summary

What can we learn from this table?
If 0n2b conflicts withcosmological 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)
that does not containa coloured mediator
T-I-1-i can be examined at ILC!
exotic interactions with electron!

d=9 op. : Bridge between neutrino and TeV scale

Summary

What can we learn from this table?
If 0n2b conflicts withcosmological 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)
that does not containa coloured mediator
T-I-1-i can be examined at ILC!
exotic interactions with electron!
My 2nd last message:
0n2b exps, cosmological obs,
LHC and ILC
are complementary!

Summary“Neutrino Frontier”
Neutrino mass search isthe foremost front whereOscillation experiments,

Lightest nu mass
Standard 3nu parameter space

face to the Neutrino effective theory
in the Universe

Summary“Neutrino Frontier”
Neutrino mass search isthe foremost front whereOscillation experiments,
0n2b decay experiments,

Lightest nu mass
Standard 3nu parameter space

face to the Neutrino effective theory
in the Universe

Summary“Neutrino Frontier”
Neutrino mass search isthe foremost front whereOscillation experiments,
0n2b decay experiments,
Cosmological observations,(and also collider signals),

Lightest nu mass
Standard 3nu parameter space

face to the Neutrino effective theory
in the Universe

Summary“Neutrino Frontier”
Neutrino mass search isthe foremost front whereOscillation experiments,
0n2b decay experiments,
Cosmological observations,(and also collider signals),

Lightest nu mass
Standard 3nu parameter space

face to the Neutrino effective theory
in the Universe
If something unexpected will happen
on this plane...

In this talk we focus on the particle physics side. How about cosmological side?

Summary“Neutrino Frontier”
Neutrino mass search isthe foremost front whereOscillation experiments,
0n2b decay experiments,
Cosmological observations,(and also collider signals),

Lightest nu mass
Standard 3nu parameter space

face to the Neutrino effective theory
in the Universe
If something unexpected will happen
on this plane...

In this talk we focus on the particle physics side. How about cosmological side?
Cosmological side: Possible disturbance of neutrino mass bound?
Dark matter effective theory? and its high E completions?

Outline
New Physics (d=9) contributions in neutrinoless double beta decay (0n2b)
Motivation: Why 0n2b? Why dim=9 ops?
d=9 ops → half-life time of 0n2b processes“How sensitive 0n2b experiments to the d=9 ops?”
What do the d=9 ops suggest to TeV scale physics?
d=9 ops → decompose them to the fundamental ints.
sioss iscus
re r d
g
o
r nde
p
In U

n → list the TeV signatures of each completion→ The list helps us to discriminate the models

Seeking a relation to the models at the TeV scale
TeV scale models with LNV → Models for radiative neutrino masses

Seeking the relation to the models

ExamplesMaybe, we have already known the mediators appear in the big table...
They have masses of the TeV scale#L must be violated in somewhereSeeking the relation to the models

ExamplesMaybe, we have already known the mediators appear in the big table...
#L must be violated in somewhere
They have masses of the TeV scale
els
d
o

s
In

u

Radiative neutrino mass models
with TeV ingredientsmhcSize of two contributions to 0n2b can be comparable!

Standard one~ 0.1eV

dim=9~1 TeVSeeking the relation to the models

ExamplesMaybe, we have already known the mediators appear in the big table...
They have masses of the TeV scale#L must be violated in somewhere
els
d
o

s
In

u

Radiative neutrino mass models
with TeV ingredientsmhcSize of two contributions to 0n2b can be comparable!

If d=9 andStandard one~ 0.1eV

dim=9

are related
in a model...

~1 TeV

Discover!

Difference→ d=9 contribution
Indicated!

in reality
Suggested!

(just for sketching the idea)Seeking the relation to the models

ExamplesMaybe, we have already known the mediators appear in the big table...
#L must be violated in somewhere
They have masses of the TeV scale
els
d
o

s
In

u

Radiative neutrino mass models
with TeV ingredientsmhcSize of two contributions to 0n2b can be comparable!

If d=9 andStandard one~ 0.1eV

dim=9

are related
in a model...

~1 TeV

Discover!

Difference→ d=9 contribution
With the info on this plane,
we have a chance to know
the origin of neutrino mass!

Indicated!

in reality
Suggested!

(just for sketching the idea)Seeking the relation to the models

ExamplesMaybe, we have already known the mediators appear in the big table...
#L must be violated in somewhere
They have masses of the TeV scale
els
d
o

s
In

u

Radiative neutrino mass models
with TeV ingredientsmhcSize of two contributions to 0n2b can be comparable!

Standard one
dim=9~ 0.1eV~1 TeV
Examples introduced in recent papers, based on Decomposition of LLQQdRdR
Coloured Babu-Zee model with LQ(3, 1, -1/3), DQ(6, 1, -2/3)
Kohda Sugiyama Tsumura PLB718 (2013) 1436=

Dim=9 op is directly proportional toNP
d=9, and its contribution to 0n2b seems to be large.

Seeking the relation to the models

ExamplesMaybe, we have already known the mediators appear in the big table...
#L must be violated in somewhere
They have masses of the TeV scale
els
d
o

s
In

u

Radiative neutrino mass models
with TeV ingredientsmhcSize of two contributions to 0n2b can be comparable!

Standard one
dim=9~ 0.1eV~1 TeV
Examples introduced in recent papers, based on Decomposition of LLQQdRdR
Coloured Babu-Zee model with LQ(3, 1, -1/3), DQ(6, 1, -2/3)
Kohda Sugiyama Tsumura PLB718 (2013) 1436=
Topology #2
diagram

Dim=9 op is directly proportional to, and its contribution to 0n2b seems to be large.

Seeking the relation to the models

ExamplesMaybe, we have already known the mediators appear in the big table...
#L must be violated in somewhere
They have masses of the TeV scale
els
d
o

s
In

u

Radiative neutrino mass models
with TeV ingredientsmhcSize of two contributions to 0n2b can be comparable!

Standard one
dim=9~ 0.1eV~1 TeV
Examples introduced in recent papers, based on Decomposition of LLQQdRdR
Coloured Babu-Zee model with LQ(3, 1, -1/3), DQ(6, 1, -2/3)
Kohda Sugiyama Tsumura PLB718 (2013) 1436==
Topology #2
diagram

Dim=9 op is directly proportional to, and its contribution to 0n2b seems to be large.

Seeking the relation to the models

ExamplesMaybe, we have already known the mediators appear in the big table...
#L must be violated in somewhere
They have masses of the TeV scale
els
d
o

s
In

u

Radiative neutrino mass models
with TeV ingredientsmhcSize of two contributions to 0n2b can be comparable!

Standard one
dim=9~ 0.1eV~1 TeV
Examples introduced in recent papers, based on Decomposition of LLQQdRdR
Two-loop mNu model with LQ(3, 1, -1/3), Majorana fermion (8, 1, 0)Angel Cai Rodd Schmidt Volkas 1308.0463=
Topology #1
diagram

Dim=9 op is directly proportional to, and its contribution to 0n2b seems to be large.

Examples

Seeking the relation to the models

Maybe, we have already known the mediators appear in the big table...
They have masses of the TeV scale#L must be violated in somewhere
els
d
o

s
In

u

Radiative neutrino mass models
with TeV ingredientsmhcSize of two contributions to 0n2b can be comparable!

Standard one
dim=9~ 0.1eV~1 TeV
Examples introduced in recent papers, based on Decomposition of LLQQdRdR
Two-loop mNu model with LQ(3, 1, -1/3), Majorana fermion (8, 1, 0)Angel Cai Rodd Schmidt Volkas 1308.0463==
Topology #1
diagram

Dim=9 op is directly proportional to, and its contribution to 0n2b seems to be large.

Examples

Seeking the relation to the models

Maybe, we have already known the mediators appear in the big table...
They have masses of the TeV scale#L must be violated in somewhere
els
d
o

s
In

u

Radiative neutrino mass models
with TeV ingredientsmhcSize of two contributions to 0n2b can be comparable!

Standard one
dim=9~ 0.1eV~1 TeV
Examples introduced in recent papers, based on Decomposition of LLQQdRdR
Colour-8 mNu model with Scalar (8, 2, 1/2), Majorana fermion (8, 1, 0)
Choubey Duerr Mitra Rodejohann JHEP 1205 (2012) 017=
Topology #1
diagram

In this case, dim=9 op is not directly proportional toExamples

Seeking the relation to the models

Maybe, we have already known the mediators appear in the big table...
They have masses of the TeV scale#L must be violated in somewhere
els
d
o

s
In

u

Radiative neutrino mass models
with TeV ingredientsmhcSize of two contributions to 0n2b can be comparable!

Standard one
dim=9~ 0.1eV~1 TeV
Examples introduced in recent papers, based on Decomposition of LLQQdRdR
Colour-8 mNu model with Scalar (8, 2, 1/2), Majorana fermion (8, 1, 0)
Choubey Duerr Mitra Rodejohann JHEP 1205 (2012) 017==
Topology #1
diagram

In this case, dim=9 op is not directly proportional toSeeking the relation to the models

ExamplesMaybe, we have already known the mediators appear in the big table...
#L must be violated in somewhere
They have masses of the TeV scale
els
d
o

s
In

u

Radiative neutrino mass models
with TeV ingredientsmhcSize of two contributions to 0n2b can be comparable!

Standard one~ 0.1eV

dim=9~1 TeV

Neutrino mass models based on the effective operator approach
Schechter Valle Phys. Rev. D25 (1982) 2951
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

and more...

Back up slides
Neutrino mass bound from cosmological observations

LR symmetric model as a Decomposition of dim=9 op

Why 0n2b? Why d=9 op.?
0n2b exp are sensitive to
Effective nu mass

Effective neutrino mass

Cosmological obs constrain
Sum of nu massessnoti ...
alu i thclca ed wlca par
i
t
re om
o
e
c
Th areLSS

Massless Nu

Massive Nu
suppresses
the small scale parts

CMB
smallerscales
Theoretical calcs are taken from
Phys.Rep 429 (2006) 307
Lesgourgues and Pastor→ Talk by Hasegawa (Aug)Why 0n2b? Why d=9 op.?
0n2b exp are sensitive to
Effective nu mass

Obs: Planck, WMAP-9year, and balloons

Effective neutrino mass

Cosmological obs constrain
Sum of nu masses

Obs: SDSS, 2dFGRS
LSS

Massless Nu

Massive Nu
suppresses
the small scale parts
CMB
smallerscales
Theoretical calcs are taken from
Phys.Rep 429 (2006) 307
Lesgourgues and Pastor→ Talk by Hasegawa (Aug)Decomposition
An example,
Taking Topology #I
let us decompose d=9 op as

R

R

R

Effective ops → High E completions

Necessary mediators

R

where (U(1)em , SU(3)c )Left-right symmetric modelAll the outer fermions are right-handed

Bound from 0n2b

Riazuddin Marshak Mohapatra PRD24 (1981) 1310

R

R

Decomposition

Effective ops → High E completions

An example,
Taking Topology #I
let us decompose d=9 op as

Necessary mediators

where (U(1)em , SU(3)c )Left-right symmetric modelAll the outer fermions are right-handed

Bound from 0n2b

Riazuddin Marshak Mohapatra PRD24 (1981) 1310

jets

and

collider search

Rizzo, Phys. Lett. B116 (1982) 23
Keung Senjanovic, Phys. Rev. Lett 50 (1983) 1427
ATLAS search for 2 leptons+jets: arXiv.1203.5420