Mass-splitting between haves and have-nots — symmetry vs. Grand Unified Theory

Harigaya, Keisuke; Ibe, Masahiro; Suzuki, Motoo

doi:10.1007/JHEP09(2015)155

Mass-splitting between haves and have-nots — symmetry vs. Grand Unified Theory

Keisuke Harigaya
(
- Tokyo U., ICRR
)
,
Masahiro Ibe
(
- Tokyo U., ICRR and
- Tokyo U., IPMU
)
,
Motoo Suzuki
(
- Tokyo U., ICRR and
- Tokyo U., IPMU
)

May 19, 2015

25 pages

Published in:

JHEP 09 (2015) 155

Published: Sep 23, 2015

e-Print:

1505.05024 [hep-ph]

DOI:

10.1007/JHEP09(2015)155

Report number:

IPMU-0072

View in:

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Abstract: (Springer)

We revisit the long-standing problem of supersymmetric grand unified theory (GUT), the doublet-triplet splitting problem. We discuss whether symmetry which controls the μ term in the minimal supersymmetric standard model is compatible with GUT. We find that the symmetry must be broken at the GUT scale. A similar argument also shows that the R symmetry, which is important for low energy supersymmetry, must be broken down to a Z

_{2R}

symmetry at the GUT scale. We propose a new prescription to achieve the doublet-triplet splitting by symmetry. There, the symmetry which controls the μ term is spontaneously broken at the GUT scale by order parameters which are charged under other symmetries. Bilinear terms of triplet Higgses are charged under the other symmetries, while those of doublet Higgses are not. Then triplet Higgses directly couple to the order parameters and hence obtain GUT scale masses, while doublet Higgses obtain suppressed masses. The broken R symmetry can be also effectively preserved by a similar prescription. As a demonstration, we construct an SU(5) × SU(5) GUT model. We also comment on unification of yukawa couplings.

Note:

25 pages, 4 figures

Beyond Standard Model
Supersymmetric Standard Model
GUT
Discrete and Finite Symmetries
new physics
grand unified theory: SU(5) x SU(5)
grand unified theory: Yukawa
supersymmetry
minimal supersymmetric standard model
Higgs particle: mass difference

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