[PPT] - Toshihiko Ota Saitama University based on Florian Bonnet, Martin PowerPoint Presentation

SLIDE 1

Toshihiko Ota

based on

Florian Bonnet, Martin Hirsch, TO, Walter Winter arXiv.1212.3045 Shinya Kanemura, TO

Phys. Lett. B694 (2010) 233

Florian Bonnet, Daniel Hernandez, TO, Walter Winter JHEP 0910 (2009) 076 JHEP 1207 (2012) 153 Daniel Hernandez, Belen Gavela, TO, Walter Winter

Phys. Rev. D79 (2009) 013007

Saitama University

SLIDE 2

If the SM is a low-E effective model of a fundamental theory...

Preface

SLIDE 3

Effective operators are a typical low-E remnant of New physics If the SM is a low-E effective model of a fundamental theory... : A typical scale of New physics

Preface

SLIDE 4

Effective operators are a typical low-E remnant of New physics If the SM is a low-E effective model of a fundamental theory... : A typical scale of New physics

Weinberg op.

Preface

SLIDE 5

Effective operators are a typical low-E remnant of New physics If the SM is a low-E effective model of a fundamental theory... : A typical scale of New physics

Weinberg op.

Preface

Seesaw mech. (@tree)

SLIDE 6

Effective operators are a typical low-E remnant of New physics If the SM is a low-E effective model of a fundamental theory... : A typical scale of New physics

Weinberg op. Four-Fermi

Preface

Seesaw mech. (@tree)

SLIDE 7

Effective operators are a typical low-E remnant of New physics If the SM is a low-E effective model of a fundamental theory... : A typical scale of New physics

Weinberg op. Four-Fermi

Preface

Seesaw mech. (@tree)

SLIDE 8

Effective operators are a typical low-E remnant of New physics If the SM is a low-E effective model of a fundamental theory... : A typical scale of New physics

Weinberg op. Four-Fermi

Preface

Seesaw mech. (@tree)

SLIDE 9

Effective operators are a typical low-E remnant of New physics If the SM is a low-E effective model of a fundamental theory... : A typical scale of New physics What do these eff. ops. suggest to physics at high E scales? Exhaustive bottom-up approach

Weinberg op. Four-Fermi

Preface

Seesaw mech. (@tree)

? ? ? ?

SLIDE 10

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

SLIDE 11

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

SLIDE 12

from d>5 Overview: Neutrino mass from higher dim. ops. Motivation

3-loop models

Aoki Kanemura Seto PRL102 (2009) 051805 Krauss Nasri Trodden PRD67 (2003) 085002 Cheung Seto PRD69 (2004) 113009

T r e e 1

l
p

2

l
p

SLIDE 13

from d>5

Next leading contribution to neutrino mass with the SM particle content

Overview: Neutrino mass from higher dim. ops.

Neutrino mass from an n-loop dim-d diagram

Additional suppression Lower NP scale

If forbidden

Motivation

3-loop models

Aoki Kanemura Seto PRL102 (2009) 051805 Krauss Nasri Trodden PRD67 (2003) 085002 Cheung Seto PRD69 (2004) 113009

SLIDE 14

d=7 op at low E from d>5 A complication to introduce Dim.7 op.

When we allow us to have

SLIDE 15

d=7 op at low E from d>5 A complication to introduce Dim.7 op.

When we allow us to have we also have

Singlet

SLIDE 16

d=7 op at low E from d>5 A complication to introduce Dim.7 op.

When we allow us to have we also have

SLIDE 17

d=7 op at low E from d>5 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)

SLIDE 18

d=7 op at low E from d>5 Setup at the EWSB scale

When we have SM particle content + an extra Higgs doublet matter parity with the following charge assignment

q(Dim.5) = 2 q(Dim.7) = 5

This Dim.7 op does not induce loop-Dim.5 op. then, we do not have and we have

SLIDE 19

from d>5 High energy completion of Dim.7 High E completion of d=7 op

SLIDE 20

from d>5 High energy completion of Dim.7

What kind of high energy modes can induce Dim.7 effective op. at the EW scale? → Examples...

High E completion of d=7 op

SLIDE 21

from d>5 :Example High energy completion of Dim.7

Particle content: 2 SM singlet (2-)spinors A SM singlet scalar under

High E completion of d=7 op

SLIDE 22

High E completion of d=7 op from d>5 :Example High energy completion of Dim.7

Particle content: 2 SM singlet (2-)spinors A SM singlet scalar Relevant part of Lagrangian under

SLIDE 23

High E completion of d=7 op from d>5 :Example High energy completion of Dim.7

Particle content: 2 SM singlet (2-)spinors A SM singlet scalar Relevant part of Lagrangian under

SLIDE 24

High E completion of d=7 op from d>5 :Example High energy completion of Dim.7

Particle content: 2 SM singlet (2-)spinors A SM singlet scalar Relevant part of Lagrangian under where

For inverse seesaw, e.g., Gonzalez-Garcia Valle PLB216 (1989) 360

SLIDE 25

High E completion of d=7 op from d>5 :Example High energy completion of Dim.7

Particle content: 2 SM singlet (2-)spinors A SM singlet scalar Relevant part of Lagrangian under where

For inverse seesaw, e.g., Gonzalez-Garcia Valle PLB216 (1989) 360

Neutrino mass (with )

SLIDE 26

High E completion of d=7 op from d>5 Systematic search for high energy completion: Decomposition

Dim.7 operator can be decomposed to

SLIDE 27

High E completion of d=7 op from d>5 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...

SLIDE 28

High E completion of d=7 op from d>5 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...

SLIDE 29

High E completion of d=7 op from d>5 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... 1 3

r
r

1 3 2 (4)

r

F F F One of the choices of SU(2) Necessary mediators are specified as

SLIDE 30

High E completion of d=7 op from d>5 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...

SLIDE 31

High E completion of d=7 op from d>5 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... 3 3 2 (4)

r

S S Only the SU(2) choice is Necessary mediators are specified as S

SLIDE 32

High E completion of d=7 op from d>5 List of the models

SLIDE 33

Neutrino mass from d>5 operators

Bottom-up approach: Collider testable neutrino mass generation mechanism Matter parity ( ) forbids d=5 Weinberg op. Possible extensions: d=9 tree, loop d=7 List the possible ways to derive the d=7 eff. op. through tree-diagrams Seesaw for d=7

from d>5 Summary

* Connection to the inverse (linear) seesaw mechanism

How does the high E completion look like? References

Eff. LNV ops → Nu mass: Babu Leung NPB 619 (2001) 667, de Gouvea Jenkins PRD77 (2008) 013008,

Angel Rodd Volkus 1212.6111 d=7 with SU(2) quartet (4): Babu Nardi Tavartkiladze PRD80 (2009) 071702 d=9 and a mediator as DM: Kumericki Picek Radovcic PRD86 (2012) 013006, PRD84 (2011)093002 Make loops: Farzan Pascoli Schmidt 1208.2732

SLIDE 34

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

SLIDE 35

d=9 op. in 0n2b Effective neutrino mass

0n2b experiments are sensitive to Normal hierarchy Inverted hierarchy

SLIDE 36

d=9 op. in 0n2b Effective neutrino mass

0n2b experiments are sensitive to Normal hierarchy Inverted hierarchy Oscillation exps told...

Unknown

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

SLIDE 37

d=9 op. in 0n2b Effective neutrino mass

0n2b experiments are sensitive to Normal hierarchy Inverted hierarchy Cosmological obs. constrain If they conflict with each other, ... Oscillation exps told...

WMAP-9yr Unknown Excluded

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

1212.5226

PRL 109 (2012) 042501

talks by Senjanovic Lisi and Rodejohann

SLIDE 38

d=9 op. in 0n2b 0n2b experiments measure...

Let us ask the origin of the conflict to 0n2b...

talks by Senjanovic Lisi and Rodejohann

SLIDE 39

d=9 op. in 0n2b

Mediated by with mass of something

0n2b experiments measure...

A typical momentum

f neutrino in nuclei

~100 MeV

+

Let us ask the origin of the conflict to 0n2b...

talks by Senjanovic Lisi and Rodejohann

SLIDE 40

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

0n2b experiments measure...

A typical momentum

f neutrino in nuclei

~100 MeV

+

Let us ask the origin of the conflict to 0n2b...

talks by Senjanovic Lisi and Rodejohann

SLIDE 41

d=9 op. in 0n2b 0n2b half-life → Effective ops

…can be parametrized as d=9 Formula to calculate the half-life time:

Nuclear matrix elements Phase space factors

Pas Hirsch Klapdor-Kleingrothaus Kovalenko, PLB498 (2001) 35

SLIDE 42

d=9 op. in 0n2b 0n2b half-life → Effective ops

Q: What is the high E origin of the effective ops? High E completions, 0n2b-LHC complementarity …can be parametrized as

bottom-up

Eff. ops.

d=9 Formula to calculate the half-life time:

Nuclear matrix elements Phase space factors

Pas Hirsch Klapdor-Kleingrothaus Kovalenko, PLB498 (2001) 35

SLIDE 43

d=9 op. in 0n2b Effective ops → High E completions

There are only two possible topologies of tree six-Fermi diagrams, which are @Tree @1-loop Already a hint in LHC data?

r
r
r
r
r

High E completion, Tree or Loop?

r

L H C t e s t a b l e ! We focus on

SLIDE 44

Effective ops → High E completions d=9 op. in 0n2b

For example, Decomposition

SLIDE 45

Effective ops → High E completions d=9 op. in 0n2b

For example, Necessary mediators Decomposition where (U(1) , SU(3) )

em c

SLIDE 46

Effective ops → High E completions d=9 op. in 0n2b

For example,

Rediscovery of the standard neutrino mass contribution

Necessary mediators Decomposition where (U(1) , SU(3) )

em c All the outer fermions are left-handed

SLIDE 47

Effective ops → High E completions d=9 op. in 0n2b

For example,

Left-right symmetric model

Decomposition Necessary mediators where (U(1) , SU(3) )

em c All the outer fermions are right-handed

Riazuddin Marshak Mohapatra PRD24 (1981) 1310

Bound from 0n2b

SLIDE 48

Effective ops → High E completions d=9 op. in 0n2b

For example,

Left-right symmetric model

Decomposition Necessary mediators where (U(1) , SU(3) )

em c All the outer fermions are right-handed

Riazuddin Marshak Mohapatra PRD24 (1981) 1310 Rizzo, Phys. Lett. B116 (1982) 23 Keung Senjanovic, Phys. Rev. Lett 50 (1983) 1427

Bound from 0n2b

ATLAS search for 2 lepton+jets: arXiv.1203.5420

collider search and

SLIDE 49

Effective ops → High E completions d=9 op. in 0n2b

For example, Decomposition Necessary mediators where (U(1) , SU(3) )

em c

SLIDE 50

Effective ops → High E completions d=9 op. in 0n2b

For example,

R-parity violating SUSY models

Decomposition Necessary mediators where (U(1) , SU(3) )

em c

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

SUSY (Rp-conserving) search at LHC

1st generation squarks should be heavier than 1TeV

SLIDE 51

Effective ops → High E completions d=9 op. in 0n2b

For example, Decomposition Necessary mediators where (U(1) , SU(3) )

em c

SLIDE 52

Effective ops → High E completions d=9 op. in 0n2b

For example, Decomposition

R-parity violating SUSY models

Necessary mediators where (U(1) , SU(3) )

em c

SUSY (Rp-conserved) search at LHC

1st generation squarks should be heavier than 1TeV

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

Another diagram in

SLIDE 53

d=9 op. in 0n2b List of high E completions

Possible decompositions and Necessary mediators (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 1212.3045

SLIDE 54

d=9 op. in 0n2b List of high E completions

Possible decompositions and Necessary mediators (Topology I)

Let us check this example