1. Grand Unified Theories and Higgs Physics
Toshifumi Yamashita
(Aichi med. U.)
2013/2/15
@U. of Toyama, HPNP2013
based on :
PRD84, (2011) (arXiv: )
work in progress
w/ M.Kakizaki, S.Kanemura, H.Tanigucji (U. of Toyama)

2. We may get a hint of the GUT-breaking @LHC&LC.
outline
GUT-breaking via
Hosotani mechanism
= “grand gauge-Higgs unification”
K.Kojima, K.Takenaga & T.Y. (2011)
SUSY version (SGGHU)
natural Doublet-Triplet (DT) splitting
general & testable prediction
T.Y. (2011)
We may get a hint of the
M.Kakizaki, S.Kanemura, H.Taniguchi & T.Y. in progress

3. plan outline introduction SUSY grand GHU (SGGHU)
phenomenology of SGGHU
summary

4. 126GeV excitation consistent w/ Higgs introduction
The SM is now being confirmed,
as an effective theory valid below TeV.
What’s next?

5. introduction puzzles in SM charge quantization (anomaly cancellations)
hierarchal parameters
dark matter
gen. #, quantum gravity, etc.
GUT, string
(SO(10), E6)
flavor symm., XD
Yukawa couplings
Higgs mass
SUSY, XD
string ???

6. Grand Unified Theories
Unification of Gauge Groups
G : semi-simple
Charge Quantization
anomaly free
Unification of Matter
SU(5)
SO(10) E6 + + = + + =
wrong GUT relation
real repr.

7. Grand Unified Theories
Unification of Gauge Groups
G : semi-simple
Charge Quantization
How about Higgs ?
if SUSY
Proton decay
Doublet-Triplet (DT) Splitting Problem

8. SUSY-GUTs probable extension of SM Yukawa?
unifications of forces and of matter
charge quantization
stabilization of the weak scale
gauge coupling unification (GCU)
Higgs?
SUSY, (FCNC)?
Proton decay?

9. SUSY-GUTs model building theoretical issues doublet-triplet splitting
experimental issues
wrong GUT relation (Yd = YeT)
proton decay v.s. GCU
(SUSY flavor problem)
not easy to test
GCU
imposing that models reduce to (N)MSSM
just restrict param. region on (N)MSSM

10. plan outline introduction SUSY grand GHU (SGGHU)
phenomenology of SGGHU
summary

11. We may get a hint of the GUT-breaking @LHC&LC.
outline
GUT-breaking via
Hosotani mechanism
= “grand gauge-Higgs unification”
K.Kojima, K.Takenaga & T.Y. (2011)
SUSY version (SGGHU)
natural Doublet-Triplet (DT) splitting
general & testable prediction
T.Y. (2011)
We may get a hint of the
M.Kakizaki, S.Kanemura, H.Taniguchi & T.Y. in progress

12. Light adjoints, are predicted.
SUSY grand GHU
Hosotani mechanism
Y. Hosotani (1983)
symmetry breaking by a VEV of zero-mode of
a extra dim. component of the gauge field (A5).
gauge-Higgs
unification
low energy prediction
T.Y. (2011)
A5 (= adjoint Higgs) is level,
& acquires a mass of O(mSB) via loop.
Its superpartners can have masses of O(mSB).
Light adjoints, are predicted.

13. SUSY grand GHU gauge coupling unification The adjoint matters : - MSSM
T.Y. (2011)
gauge coupling unification
The adjoint matters :
- MSSM
- MSSM + adj

14. to remain perturbative
SUSY grand GHU
T.Y. (2011)
gauge coupling unification
to remain perturbative
The adjoint matters :
recovered w/
ex1) additional matters for :
- MSSM
- MSSM + adj
- MSSM + adj + add

15. SUSY grand GHU phenomenology of adjoints
SU(3) is no longer asymptotically free,
& remains energy
squarks & octet become very heavy.
(possible exception: the RH-stop)
sleptons are also rather heavy (about 1TeV).
adjoints may affect the higgs sector (in)directly.
e.g.
NMSSM-like contribution
heavier higgs
Higgs couplings are corrected at a few % level.
M.Kakizaki, S.Kanemura, H.Taniguchi & T.Y. in progress

16. plan outline introduction SUSY grand GHU (SGGHU)
phenomenology of SGGHU
summary

17. phenomenology of SGGHU
M.Kakizaki, S.Kanemura,
H.Taniguchi & T.Y.
in progress
Higgs sector extended
Hu, Hd + S &
2 more [CP even, CP odd, charged] modes.
superpotential
predictive!!
no self couplings for S &
& are related to the gauge couplings
control the effects

18. phenomenology of SGGHU
M.Kakizaki, S.Kanemura,
H.Taniguchi & T.Y.
in progress
RG running
fix a model gauge coupling unification
set
solve the RGE g3
ex1) g2 g1
@ weak scale

19. phenomenology of SGGHU
M.Kakizaki, S.Kanemura,
H.Taniguchi & T.Y.
in progress
higgs mass
NMSSM-like F-term
150
140
130
120
110
mSUSY=2TeV SG
easily obtained mh
[GeV]
tanβ

20. phenomenology of SGGHU
M.Kakizaki, S.Kanemura,
H.Taniguchi & T.Y.
in progress
charged Higgs mass
0.1
(bosons are heavy)
δH±
LHC may distinguish
mA[GeV]

21. phenomenology of SGGHU

22. phenomenology of SGGHU
The details
will be presented
by Taniguchi-kun.

23. summary predictive!! SUSY grand GHU phenomenological study
T.Y. (2011)
natural doublet-triplet splitting
predictive!!
theoretically well motivated
generally predicts light adjoint chiral matters
the Higgs sector is extended, S &
phenomenological study
M.Kakizaki, S.Kanemura,
H.Taniguchi & T.Y.
in progress
heavier Higgs mass
distinguishable charged Higgs mass
a few % deviations from the SM/MSSM
can be a reasonable target of the ILC

24. poster by Taniguchi-kun
summary
SUSY grand GHU
T.Y. (2011)
natural doublet-triplet splitting
predictive!!
theoretically well motivated
generally predicts light adjoint chiral matters
the Higgs sector is extended, S &
phenomenological study
M.Kakizaki, S.Kanemura,
H.Taniguchi & T.Y.
in progress
heavier Higgs mass
distinguishable charged Higgs mass
a few % deviations from the SM/MSSM
poster by Taniguchi-kun
can be a reasonable target of the ILC