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Toshifumi Yamashita Aichi Medical U. E 6 orbifold GUT with gauge-Higgs unification. 2012/8/19 @SI2012. based on a work in preparation w/ K. Kojima (Kyushu University) & K. Takenaga ( Kumamoto Health Science University ). Overview. Hosotani mech. in GUTs.
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Toshifumi Yamashita Aichi Medical U. E6orbifold GUT with gauge-Higgs unification 2012/8/19@SI2012 based on a work in preparation w/ K. Kojima (Kyushu University) & K. Takenaga (Kumamoto Health Science University)
Overview Hosotani mech. in GUTs • Hosotani breaking of the SU(5)GG “grand gauge-Higgs unification” K.Kojima, K.Takenaga & T.Y. (2011) adjoint SUSY • naturalDoublet-Triplet (DT) splitting • general & testable prediction T.Y. (2011) my talk @SI2011 We may get a hint of the GUT-breaking @LHC. Taniguchi’s poster
Overview Hosotani mech. in GUTs • rank reduction by the Hosotani mechanism K.Kojima, K.Takenaga & T.Y. in preparation • a more straightforward application of the gauge-Higgs unification • a kind of the orbifold GUTs (the SU(5)GG is broken by the BCs) • extra U(1)s often remain in the orbifold GUTs
Plan Overview reviews Hosotani mech., flipped SU(5) E6 model SUSY version summary
Hosotani mechanism Y.Hosotani (1983-) • overview 5D theory gauge field compactification 4D theory gauge field scalar field with KK modes Higgs • flat pot. @tree • eff. pot. via loop
flipped SU(5) • Higgs fields: 10H, 5H • fermions: 10i, 5i, 1i(i=1,2,3) S.M.Barr (1982) <10H> GSM • matter content SM Higgs field missing partner (MP) mechanism embedded, w/ the SU(2)Rflipped • DT splitting: 10H 10H 5H the triplet mass
Plan Overview reviews Hosotani mech., flipped SU(5) E6 model SUSY version summary
E6 model K.Kojima, K.Takenaga & T.Y. • candidate unified group • rank G > 4 • G/GSM*U(1)n contains SU(3)*SU(2) singlets. • rank 5 SU(6): no singlets SO(10): a singlet but in 10 from 45 the U(1)charge doesnot fit to be further “flipped” E6is an interesting candidate. Maekawa’s talk
E6 model K.Kojima, K.Takenaga & T.Y. • setup on S1/Z2compactification • By these BCs, . • The A5 has zero modes in . <A5> breaks • The U(1)V’ is made anomalous to be broken.
E6 model K.Kojima, K.Takenaga & T.Y. • vacuum • w/o loss of generality, <10> = <Nc> + <Dc> i.e. these are color-breaking vacua. • E6 is tough to treat, but it is possible to calculate the eff. pot. a la JHEP0402(200)059. N.Haba & T.Y. • 2 pairs of adj. fermions w/ opposite periodicities Preliminary desired vacuum
Plan Overview reviews Hosotani mech., flipped SU(5) E6 model SUSY version summary
SUSY version K.Kojima, K.Takenaga & T.Y. • DT splitting Preliminary • 10H 10H 5H is not allowed The mech. in 4D flipped SU(5) not applied • another realization of the MP mech. • light particles & proton decay • A light color triplet from A5 is predicted. • not mix w/ the usual color triplet Higgs field • can contribute to the PD via higher dim. op. that is related tothe seesaw op.
summary Hosotani mech. for rank reduction in GUT • no candidate in the groups w/ rank 5 • E6 model via the flipped SU(5) • 1-loop eff. pot. is calculated. desired vacuum w/ appropriate bulk matter • SUSY version • DT splitting by another realization of MP mech.. • low energy prediction: light color triplet PD related to the neutrino masses