AMS-02 results and decaying gravitino DM

Sho IWAMOTO

20th Nov. 2013

PASCOS 2013 Conference @ Taipei, Taiwan

Reference)

M. Ibe, SI, S. Matsumoto, T. Moroi, and N. Yokozaki,

JHEP 1308 (2013) 029 [1304.1483].

Kavli IPMU, Japan

Motivation

Hierarchy problem

SUSY !? Hierarchy solved.

“LSP” = DM candidate.

Higgs!!

2 /25

… MSUSY = ???

Motivation

Hierarchy problem

SUSY !? Hierarchy solved.

“LSP” = DM candidate.

Higgs!!

3 /25

… MSUSY = ???

Motivation

Hierarchy problem

SUSY !? Hierarchy solved.

“LSP” = DM candidate.

Higgs!!

4 /25

… MSUSY = ???

Motivation

Hierarchy problem

SUSY !? Hierarchy solved.

“LSP” = DM candidate.

Higgs!!

Decaying DM scenario (Gravitino with bilinear RPV)

5 /25

Underlying model (provides “suitably-tiny” bilinear RPV)

Outline

Hierarchy problem

SUSY !? Hierarchy solved.

“LSP” = DM candidate.

Higgs!!

Decaying DM scenario (Gravitino with bilinear RPV)

1

2

3

6 /25

Underlying model (provides “suitably-tiny” bilinear RPV)

Outline

Hierarchy problem

SUSY !? Hierarchy solved.

“LSP” = DM candidate.

Higgs!!

Decaying DM scenario (Gravitino with bilinear RPV)

1

2

3

7 /25

Underlying model (provides “suitably-tiny” bilinear RPV)

Standard Model

MSSM

λ is fixed by SUSY.

Large loop-correction is required.

Mass and/or mixing of scalar-top must be large.

Higgs mass : SM v.s. MSSM

8

tree one-loop level

where α is the stop mixing parameter.

Okada, Yamaguchi, Yanagida (1991) etc.

two adjustable parameters mh is a free parameter.

/25

Standard Model

MSSM

λ is fixed by SUSY.

Large loop-correction is required.

Mass and/or mixing of scalar-top must be large.

Higgs mass : SM v.s. MSSM

9

tree one-loop level

where α is the stop mixing parameter.

two adjustable parameters mh is a free parameter.

/25

Ibe, Yanagida [1112.2462]

If the mixing is small…

MSUSY [TeV]

tanβ

Okada, Yamaguchi, Yanagida (1991) etc.

Outline

Hierarchy problem

SUSY !? Hierarchy solved.

“LSP” = DM candidate.

Higgs!!

Decaying DM scenario (Gravitino with bilinear RPV)

1

2

3

10 /25

Underlying model (provides “suitably-tiny” bilinear RPV)

Outline

Hierarchy problem

SUSY !? Hierarchy solved.

“LSP” = DM candidate.

Higgs!!

Decaying DM scenario (Gravitino with bilinear RPV)

1

3

2

11 /25

Underlying model (provides “suitably-tiny” bilinear RPV)

Cosmic-ray positron fraction

12

PAMELA & AMS-02 coll. (Figure from PRL 110 (2013) 141102)

/25

Cosmic-ray positron fraction

13

PAMELA & AMS-02 coll. (Figure from PRL 110 (2013) 141102)

/25

fraction increases

A scenario for decaying DM

14

A decaying DM scenario

“SUSY with gravitino LSP

with bilinear R-parity violation”

(LSP, i.e., DM)

/25

DM

Results

15

Sample point

•Positron fraction •Electron total flux

/25

Outline

Hierarchy problem

SUSY !? Hierarchy solved.

“LSP” = DM candidate.

Higgs!!

Decaying DM scenario (Gravitino with bilinear RPV)

1

3

2

16 /25

Underlying model (provides “suitably-tiny” bilinear RPV)

Outline

Hierarchy problem

SUSY !? Hierarchy solved.

“LSP” = DM candidate.

Higgs!!

Decaying DM scenario (Gravitino with bilinear RPV)

1

2

3

17 /25

Underlying model (provides “suitably-tiny” bilinear RPV)

Results (review)

18

Sample point

•Positron fraction •Electron total flux

/25

RPV = tiny!

A model that provides the tiny bilinear R-parity violation

19

extra singlets

/25

A model that provides the tiny bilinear R-parity violation

20

extra singlets

MSSM

/25

A model that provides the tiny bilinear R-parity violation

21

extra singlets

MSSM

(mediated by X)

/25

A model that provides the tiny bilinear R-parity violation

22

extra singlets

MSSM

(mediated by X)

Bilinear RpV ~ O(10-5)GeV (as desired)

/25

A model that provides the tiny bilinear R-parity violation

23

extra singlets

MSSM

(mediated by X)

Majorana mass ~ O(1011)GeV

Bilinear RpV ~ O(10-5)GeV (as desired)

/25

Outline

Hierarchy problem

SUSY !? Hierarchy solved.

“LSP” = DM candidate.

Higgs!!

Decaying DM scenario (Gravitino with bilinear RPV)

1

2

3

24 /25

Underlying model (provides “suitably-tiny” bilinear RPV)

1. Decaying Gravitino dark matter

is motivated by the Higgs mass

explains the AMS-02 results with

2. Model for the bilinear RpV

Summary

25

through bilinear R-parity violation

/25

Backup

26 /25

Antiproton constraint

27 /25

is on the edge of anti-proton constraint. DM

Garny, Ibarra, Tran [1205.6783] See also: Delahaye and Grefe [1305.7183] primary = from DM decay

secondary = spallation on interstellar gas

dependence on propagation-model