Yann Mambrini Laboratoire de Physique Théorique Orsay

Yann Mambrini Laboratoire de Physique Théorique Orsay

Yann Mambrini
Laboratoire de Physique Théorique
XI
Orsay, Université Paris
arXiv:0904.1745 [hep-ph]
arXiv:0907.???? [hep-ph]
TAUP09, Roma, July 3d 2009
SM fermions
µ!
Positron
Heavy fermions
µ!
Heavy fermions ?
DM candidate
Lmix = " FYµ# FXµ#
"!
SM
µ!
Heavy
= 10-2
(
)
2 lines
or $$ line
If mH0 < MW
No visible line
B
3 visible lines
B
B
#!
#!
µ!
µ!
&!
Heavy Fermions (%h)
(!µ#&!
U’(1)
L
U’(1)
µ#&)!
L +'*
Xµ!
Xµ! + d µ! ' !
a
a
Xµ! +M d a !
Z’ µ!
Y
Y
Fµ#! F &)!
- M Z’ ' !
Xµ! +M Z’d µ!a !
(Stuckelberg Langrangian)
&!
+ L3
Linv = FYµ# FYµ#– (dµa – MX Xµ)2 – i %h $µ Dµ %h
Lvar = B a *µ#&) FYµ# FY&)
+ C *µ#&) Xµ Y# FY&)!
Peccei-Quinn terms
" Lvar = - "
(
Chern-Simons terms
)
#!
µ!
&!
Heavy Fermions (%h)
k1
k3
k2
(+µ#& = t+ { A1 *µ#&) k2) - A2 *µ#&) k1)
+ B1 k2# *µ&), k2) k1, + B2 k1# *µ&), k2) k1, + B3 k2& *µ#), k2) k1, + B4 *µ#), k2) k1,
+ C k3µ/k32 *#&), k2) k1, + D *µ#&)(k2) – k1))}
Peccei-Quinn
Chern-Simons
" Leff = 0 3 Ward identities + (k1;k2) symmetries
-> the vertex can be express as function of |B2 – B1| = 1/-2X
With B1, B2 = computable loops integrals
Cc : only 3 parameters : -X [<S>] ; MZ’ [gX] ; M. [Yheavy]
MX > M. (natural)
MX < M. (unatural)
!X (GeV)
2000
1000
Mdm=500 GeV
500
Mdm=200 GeV
Mdm=100 GeV
100
100
Mx (GeV)
500
1000
-2X = |B2-B1| = gh*g2/(8/2)* Tr[X’ X2/M2heavy]*Integral
<<
Lmix = "mix Fµ# F’µ#
Millicharged DM,
XENON
"mix < 0.01
#
&**01231&
415*6*#78*,-.
49:*677;*,-.*
!!"!#$#%%
!#"
!"
!##
!"
!#$
!"
!"
!""
#""
%""
&'()*+,-./
E$ = M. [1 – (MZ/2M.)2]
35°
+
GC 20°
Signal to noise ratio
12 time greater than GC
Independant of the Galactic profile
Galactic Centered Annulus
(Stoehr et al 2003, GLAST col. 2008)
J 01 ~ 10
Galprop conventional model
for the background
5 years of data, signals at 5) and 95%
CL
[FERMI
estimates, Morselli et al. 08]!
#
0789)*:;<:=(#:;.
&**01231&
415*6*#78*,-.
49:*677;*,-.*
!!"!#$#%%
!#"
!"
!$
012&3)5!!##
!"
!"
!#$
012&3)456
!"
!!"
!"
!""
#""
!"
!!#
"!!"!#$%
>,%
!"
!""
#""
%""
&'()*+,-./
/""
&'()*+,-.
No excess with courent constraints (EGRET, HESS.. [Jacques, Bell 08] )
Mx (GeV)
! x (TeV)
600
95%2FERMI
Mdm=200 GeV
1.5
400
Mdm=300 GeV
Mdm=100 GeV
&" FERMI
1
!!!!"!#$%
TeV
X
200
100
200
300
Mdm (GeV)
HESS/COMPTON Excluded
0.5
200
400
600
800
Mx (GeV)
1000