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Grand Unified Theories and Higgs Physics

Toshifumi Yamashita (Aichi med. U.). Grand Unified Theories and Higgs Physics. 2013/2/15 @U. of Toyama, HPNP2013. based on : PRD 84 , 115016 (2011) (arXiv:1106.3229) work in progress w/ M.Kakizaki, S.Kanemura, H.Tanigucji (U. of Toyama). outline. GUT-breaking via

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Grand Unified Theories and Higgs Physics

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  1. Toshifumi Yamashita (Aichi med. U.) Grand Unified Theories and Higgs Physics 2013/2/15 @U. of Toyama, HPNP2013 based on : • PRD84, 115016 (2011) (arXiv:1106.3229) • work in progress w/ M.Kakizaki, S.Kanemura, H.Tanigucji (U. of Toyama)

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

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

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

  5. introduction charge quantization hierarchy problem dark matter neutrino masses Baryon asymmetry gen. #, quantum gravity, etc. • problems/puzzles in SM GUT, string, SUSY,XD, composite, seesaw, leptogenesis, string ???

  6. Grand Unified Theories • Unification of forces G : semi-simple Charge Quantization • Unification of Matters SU(5) cf) SU(3)W unification not fit so beautifully wrong GUT relation

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

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

  9. SUSY-GUTs • model building theoretical issues • doublet-triplet splitting experimental issues • wrong GUT relation (Yd = YeT) • proton decay v.s. GCU no longer success, but a constraint 126GeV Higgs GCU requiringthat models reduce to (N)MSSM just restrict param. region on (N)MSSM not easy to test

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

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

  12. SUSY grand GHU Light adjoints, are predicted. • Hosotani mechanism Y. Hosotani (1983) • symmetry breaking bya extra dim. component of the gauge field(A5). gauge-Higgs unification • low energy prediction T.Y. (2011) • A5(= adjoint Higgs) is massless @tree level, & acquires a mass of O(mSB)via loop. Its superpartners can have masses of O(mSB). • Z2-symm. : SUSY inert triplet model

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

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

  15. SUSY grand GHU • low energy effective theory • SU(3)is no longer asymptotically free, & remains strong @high energy squarks & octet become rather heavy. • colorless fields : singlet & triplet extended higgs sector NMSSM-like contribution heavier higgs e.g. Higgs couplings are corrected at a few % level. M.Kakizaki, S.Kanemura, H.Taniguchi & T.Y. in progress ILC poster by Taniguchi-kun

  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

  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 contributions @tree 150 140 130 120 110 mSUSY=2TeV SG easily obtained mh [GeV] 2 4 6 8 10 12 tanβ

  20. phenomenology of SGGHU M.Kakizaki, S.Kanemura, H.Taniguchi & T.Y. in progress • charged Higgs mass 0.1 0 (bosons are heavy) δH± LHC may distinguish 200 300 400 500 mA[GeV]

  21. phenomenology of SGGHU

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

  23. 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 can be a reasonable target of the ILC

  24. 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

  25. back up

  26. Hosotani mechanism & DT Splitting VEV of zero-mode of A5 symmetry breaking by a continuous Wilson loop gauge-Higgs unification • The order parameter, , is valued on the group(instead of the algebra). special traceless (inversely) missing VEV DT Splitting [2] T.Y.

  27. Hosotani mechanism & DT Splitting 5 : • BCs around are modified: ex) “anti-periodic” 5 chiral massless doublet • basis transformation Kawamura’s talk (broken) gauge transformation w/ symmetry breaking by BCs, as in the orbifold breaking • DT splitting [2] T.Y.

  28. grand gauge-Higgs unification • difficulty [1] K.Kojima, K.Takenaga & T.Y. • orbifold action projects out adjoint scalars due to the opposite orbifold BCs. • this difficulty is shared w/ heterotic string • very well studied,classified w/ Kac-Moody level • ``diagonal embedding” method Kuwakino’s talk K.R.Dienes & J.March-Russel (1996) We borrow this in our pheno. models.

  29. grand gauge-Higgs unification • diagonal embedding (in field theory) [1] K.Kojima, K.Takenaga & T.Y. This provides a way to “introduce” chiral fermions in S1 models!! ex) has a zero-mode. chiral fermions • deconstruction similar to S1 model

  30. grand gauge-Higgs unification • matter content • bulk fields Hu& Hd • similar to S1 model : vector-like • couple to W.L. : SU(5)incomplete multiplets • boundary fields chiral matter • essentially 4D fields : chiral • not couple to W.L. : SU(5)full multiplets

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