toshifumi yamashita misc, kyoto sangyo u. aichi medical u. 愛知医科大学

based on : based on : [1] [1] PRDPRD8484, 051701 (2011), 051701 (2011) (arXiv:1103.1234) (arXiv:1103.1234) w/ K. Kojima w/ K. Kojima (Kyushu) (Kyushu) & K. Takenaga & K. Takenaga (Kumamoto Health Science)(Kumamoto Health Science) [2] [2] PRDPRD8484, 115016 (2011), 115016 (2011) (arXiv:1106.3229) (arXiv:1106.3229)

Toshifumi Yamashita MISC, Kyoto Sangyo U.

Aichi Medical U. 愛知医科大学2012/3/172012/3/17 @GUT2012@GUT2012

grand gauge-Higgs grand gauge-Higgs unificationunification

& doublet-triplet splitting & doublet-triplet splitting

GUT-breaking via Hosotani mechanism

Outline

= “grand gauge-Higgs unification”

natural Doublet-Triplet (DT) splitting by a “missing VEV” even in SU(5) models general & testable prediction

We may get a hint of the GUT-breaking @LHC.

[1] K.Kojima, K.Takenaga & T.Y.

[2] T.Y.

adjoint

Plan• OutlineOutline• Hosotani mech. & DT splittingHosotani mech. & DT splitting• grand GHUgrand GHU• low energy predictions low energy predictions • summarysummary

Hosotani mechanism & DT Splittingsymmetry breaking by

a continuous Wilson loop

zero-mode of A5

Y. Hosotani (1983)gauge-Higgs unification

talks by Maru & Hosotani

The order parameter, ,

is valued on the group (instead of the algebra).

tracelesstracelessspecialspecial

(inversely)missing VEV

[2] T.Y.DT Splitting

ex)

Hosotani mechanism & DT Splitting

Kawamura’s talk

5 :

basis transformation(broken) gauge transformation w/

• BCs around are modified:

symmetry breaking by BCs, as in the orbifold breaking

DT splitting“anti-periodic” 5 chiral massless doublet

[2] T.Y.

difficulty

grand gauge-Higgs unificationgrand gauge-Higgs unification

• orbifold action projects out adjoint scalars


• this difficulty is shared w/ heterotic string

- very well studied, classified w/ Kac-Moody level

- ``diagonal embedding” method

We borrow this in our pheno. models.

due to the opposite orbifold BCs.

Kuwakino’s talk

K.R.Dienes & J.March-Russel (1996)


diagonal embedding (in field theory) [1] K.Kojima, K.Takenaga & T.Y.

ex)

• deconstruction

similar to S1 model

chiral fermions

has a zero-mode.

This provides a way to “introduce” chiral fermions in S1 models!!


SU(5) example

SU(5) GSM on a local minimum where

[2] T.Y.

w/ appropriate bulk fermions

DT Splitting



matter content bulk fields

• similar to S1 model : vector-like• couple to W.L. : SU(5) incomplete multiplets

boundary fields• essentially 4D fields : chiral• not couple to W.L. : SU(5) full multiplets

Hu & Hd

chiral matter

low energy predictionslow energy predictions

light adjoint chiral multiplets

• A5 is massless @tree level, & acquires a mass of O(mSB) via loop.

Its superpartners can have masses of O(mSB).We may observe .

gauge coupling unification

• The adjoint matters :

recovered w/

to remain perturbative

[2] T.Y.


recovery of GCU

ex) additional matters for :

5 10 (in the bulk)

- MSSM

- MSSM + adj

- MSSM + adj + add

[2] T.Y.

phenomenology of adjoints


• SU(3) is no longer asymptotically free, & remains strong @high energy squarks & octet become rather heavy.

• colorless fields may be produced @LHC.

• these may increase the higgs mass.

(SUSY) triplet/(doublet)/singlet Higgs model.e.g.

NMSSM-like and/or through loop

M.Kakizaki, S.Kanemura, H.Tanigucji & T.Y.

: now working

Preliminary

heavier higgs

• a (local) vacuum : SU(5) GSM

summary

Hosotani-breaking of GUT symmetry

PRD84, 051701 (2011) w/ K.Kojima & K.Takenaga

• proposed this possibility, grand gauge-Higgs unification.

PRD84, 115016 (2011)

• SUSY version : DT splitting realized naturally

• general prediction : light adjoint chiral w/

may be tested @LHCe.g. direct production of a weak triplet, heavy squarks & higgs

toshifumi yamashita misc, kyoto sangyo u. aichi medical u. 愛知医科大学

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