Anomaly mediation
deformed by axion
Kazunori Nakayama (University of Tokyo)
KN, T.T.Yanagida, Phys.Lett.B 722,107(2013) [arXiv:1302.3332]
2014/2/14 BURI2014 @ Toyama University
14年2月14日金曜日
Contents
• Pure gravity mediation and Supersymmetric
axion model
• Gaugino mass in SUSY axion model in
pure gravity mediation
14年2月14日金曜日
Pure gravity mediation
Ibe, Moroi,Yanagida (2006), Ibe,Yanagida (2011)
Sfermion mass : Coupling with SUSY breaking field
|Q|2 |Z|2
K=c
MP2
mQ˜
m3/2
O(100)TeV
Z : SUSY breaking field
Gaugino mass : Anomaly-mediation (AMSB) effect
mg˜
g2
m
3/2
2
16
O(100)GeV
Randall, Sundrum (1998), Giudice, Luty, Murayama, Rattazzi (1998)
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130GeV
135GeV
140GeV
125GeV
tan⇥
10
120GeV
mh 114.4GeV
1
10
102
103
MSUSY TeV
14年2月14日金曜日
104
Ibe,Yanagida, 1112.2462
Gaugino masses in
pure gravity mediation
33
MB˜ =
5 16
2
g1
Bino :
Wino :
Gluino :
MW
˜ =
2
g2
3
m
2 3/2
1
m
2 3/2
16
3g32
Mg˜ =
m
3/2
2
16
Wino LSP > 270GeV @ LHC
8
Gluino > 2.3TeV
Is this relation robust ?
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SUSY axion model
Let us consider a SUSY axion model
to solve the strong CP problem
d2
L
8 fa
W aW a
Correction to gaugino mass
Naive expectation :
mg˜
8
m
F
: PQ scalar
fa : PQ scale
mg˜
F
8 fa
m fa
Same order of AMSB contribution !
In sequestered AMSB case: Abe, Moroi,Yamaguchi (2001)
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Example
One of the simplest SUSY axion models
W = X(
1
2
¯ + W0
v ) + k QQ
2
PQ charge
R charge
1
2
+1
0
-1
0
X
0
+2
Q
¯
Q
-1/2 -1/2
0
0
After including SUSY breaking effect,
v(= fa )
PQ scalar is stabilized at 1
2
Need to check : F
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1
m3/2 v ?
VSUSY =
2
|
1
2
v | +
2 2
2
|X| (|
2
VSB = 2 m3/2 (X + X † ) + c1 m2 |
2
1|
+|
2
2|
2
2
|
+
c
m
|
1
2
)
2
|
2
2
heavy mode mass
v
flat direction = Saxion mass
1
2
=v
1
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2
m3/2
F-term of PQ scalar
1
F
K 1W
W 1+
MP2
= vX v2 + v1 m3/2
2
m3/2 (v1
v2 )
( vX =
m3/2 )
In pure gravity mediation,
m
v2
(
v1
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K
=m
2
2
|Z|
2
2
(c1 | 1 | + c2 | 2 | ) 2
MP
F
1
1
1
O(m3/2 v)
)
V
Without
SUSY breaking
flat direction (Saxion)
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V
SUSY breaking
(sequester)
Without
SUSY breaking
flat direction (Saxion)
SUSY minimum: F = 0 (v1 = v2 )
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V
+Soft mass
SUSY breaking
(sequester)
F
=0
Without
SUSY breaking
flat direction (Saxion)
SUSY minimum: F = 0 (v1 = v2 )
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Detailed calculation
2m3/2 v 2
(v12 + v22 )
X =
vX
1/4
=v
c2 m +
c1 m2 +
2 2
vX
2 v2
X
1/4
=v
c1 m +
c2 m2 +
2 2
vX
2 v2
X
2
v1
|
1|
2
v2
F
1
=
|
2|
2
K/MP
e
K
1
1
W
1
+O
c1 m2
v
+O
c2 m2
v
K 1W
+
MP2
†
=
c2 c1
=
.
2
2
2
c2 + c1 + 2 vX /m
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m3/2 v1
O(1)
Effective interaction
3
L=
i=1
Ci
8
i
d2 ln(
a
a
)W
W
1
i
i + h.c.
Wi : gaugino superfield
Ci : numerical coefficient depending on PQ quarks
Correction to gaugino mass
M i (MPQ ) =
1
F
i
i
Ci
= Ci m3/2
4 v1
4
¯ with 5, ¯5 of SU(5)
C1 = C2 = C3 = N5 for N5 pairs of Q, Q
Contribution from PQ scalar ~ AMSB !
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Gaugino mass spectrum
m3/2 = 100 TeV
3000
8000
bino
wino
gluino
2500
bino
wino
gluino
7000
6000
2000
|Mλ| [GeV]
|Mλ| [GeV]
m3/2 = 300 TeV
1500
1000
5000
4000
3000
2000
500
1000
0
0
0
0.5
1
1.5
N5 ε
2
2.5
3
0
0.5
1
1.5
N5 ε
2
2.5
3
Figure 1: Gaugino masses as a function of N5 ! for m3/2 = 100 TeV (left) and m3/2 =
300 TeV (right). We have taken all scalar masses, as well as the higgsino masses, to be
Gaugino masses are significantly modified
equal to m3/2 .
Even the gluino LSP is possible !
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We
assume c m2 < 0. The minimum of the potential is found to be#5
Comments
In sequestered AMSB, gaugino
(c
=
c
=
0)
1
2
masses are not modified
[Abe, Moroi,Yamaguchi (2001)]
Deflected anomaly-mediation [Pomarol, Rattazzi (1999)]
AMSB + GMSB (vector-like matter)
Little motivation to introduce GMSB sector ?
Higgsino threshold correction can modify the relation
More phenomenological study : Harigaya’s talk
[Harigaya, Ibe,Yanagida, 1310.0643]
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Summary
In SUSY axion model, PQ scalar may give
gaugino mass comparable to AMSB
In pure gravity mediation, gaugino masses are
significantly modified
Mass difference between Wino and
Gluino may become small
Enhanced detection possibility
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Another SUSY axion model
[Murayama, Suzuki,Yanagida (1992), KN,Yokozaki (2012)]
W =
n
1 2
Mn 2
+k
¯ + W0
1 QQ
PQ charge
2n 2
v1
minimization
v2
F
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1
=
|
1|
2n 2
1
: +1,
2
m M
2
:
2n 4
m3/2 v1
m
2
m3/2 v1
n
Modification on
gaugino masses
n