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Jihn E. Kim Kyung Hee University & Seoul National University

Concluding remark. Jihn E. Kim Kyung Hee University & Seoul National University. COMMENTS ON HIGGS, FLAVOR PHYSICS, AND DISCRETE SYMMETRY. Summer Institute 2013 (Gurye, 22. 08. 2013). 1. Nakada on flavor Baek, Cheng, Faisal, Kaneta, Kohda, Shimizu, Enomoto, Tatsuda

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Jihn E. Kim Kyung Hee University & Seoul National University

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  1. Concluding remark Jihn E. Kim Kyung Hee University & Seoul National University COMMENTS ON HIGGS, FLAVOR PHYSICS, AND DISCRETE SYMMETRY Summer Institute 2013 (Gurye, 22. 08. 2013)

  2. 1. Nakada on flavor Baek, Cheng, Faisal, Kaneta, Kohda, Shimizu, Enomoto, Tatsuda 2. Low on Higgs boson Taniguchi, Shindou, Yagyu, Yu, Kakuda, Lu, Shimotani, Kyae, Chang, Ohki, Hosotani, Moreau, Makino, Yamada 3. Chun on neutrinos Choi on dark matter Yang, Chen on LHC expts Eijima, Ishida, Araki, Matsumoto, Nomura, Toma, Wong, Machida, Matsui , Follin, Imai, Kashiwase, Ohta, Takano, Takeda, Terada, Nihei, Park 4. Rattazzi on EFT and CFT Yokozaki on gaugino med 2/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  3. K.-Y. Choi 3/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  4. V(φ) Im(φ) Re(φ) 4/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  5. A case in point is the Higgs-to-diphoton signal strength. On July 4th 2012 both ATLAS and CMS reported significantly enhanced signal strength in the diphoton channel: Ian Low 5/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  6. ATLAS accumulation of data: Butterworth, presented at Planck 2013 May 20

  7. The annoying thing about the mass: We can’t predict it! There are two free parameters in the Higgs potential: The Higgs mass is controlled by the quartic coupling: Ian Low 7/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  8. Ian Low The renormalization group evolution of the quartic coupling can be studied in the SM and is known to two-loop. Slides from Degrassi, talk at KITP, July 2013 8/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  9. Ian Low Ian Low Ian Low Whether we have a mexican hat or a dog bowl depends on the Higgs mass and other SM input parameters: Ellis et. al.: 0906.0954 9/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  10. Ian Low In the end, 125 GeV is in a sort of “no man’s land” for BSM theories: Pomarol, ICHEP ‘12 10/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  11. SM vacuum stability TeV SUSY 126 ±2 GeV is the one letting us think more hard 11/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  12. Outside this land: Mathematics IBS string Most successful particle phenomenology Ibanez fantasy island 12/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  13. Z’, ······ Mass 126 GeV 13/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  14. Flavor physics on maximal CP JEK-Seo, PRD84, 037303 (2011) [arXiv:1105.3304[hep-ph]] 14/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  15. Jarlskog determinant Maximal CP violation 15/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  16. Jarlskog Determinant Area the same Maximal CP violation 16/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  17. JEK+Seo proved it recently. J det consists of two lelements of V and two elements of V*. But det consists of three elements of V. It is not obvious at the outset. The Jarlskog det is J= V11 V33 V*13 V*31 17/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  18. The determinant is real. If it is not real, we can change the quark phases to make it real. This process changes the coefficint of the gluon anomaly term, i.e. the θ term. So, it is reasonable to work in this basis. Multiplying V*13 V*22 V*31, we have 18/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  19. In the same way, the 4th term can be written with two terms And one of them combine with the 3rd term to make (1- |V*11 |2) V12 V23 V*13 V*22. So we have The Jarlskog det J= V11 V33 V*13 V*31 ImV*31V*22V*13 = 19/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  20. So the essence of the weak CP violation can be looked upon by scrutinizing the CKM matrix. We can also say that the weak CP violation is maximal. PDG gives 20/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  21. Since the area of the J det is the same, we look for two long sides triangles. For example, The area is maximum when δ=π/2. So, we observed the maximal CP violation. The CP violation is modeled in JEK, PLB704 (2011) 360 [1109.0995]. 21/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  22. Rattazzi 22/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  23. DISCRETE SYMMETRY Giddings-Strominger, Krauss-Wilczek, Barr-Seckel, Kamionkowski-March-Russell, Holman et al. Problem with flavor models with global U(1)’s for Froggart-Nielsen; Problem on p-decay in SUSY models. JEK[PLB to appear. 1308.0344] 23/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  24. S2(L) x S2(R) symmetric fermion masses can arise from The fermion mass matrix will be The first step for the solution of the μ-problem. [JEK, PRL 111, 031801 [arXiv:1303.1822]]. 24/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  25. [JEK, PRL 111, 031801, arXiv:1303.1822]. 25/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  26. In string theory, matter fields are from E8 x E8 representations. Not from BMN . Kim-Nilles μ-term arises from Accidental PQ symmetry JEK, PRL 111, 031801 25/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  27. How can we break S2(L) x S2(R) symmetry ? Spontaneously by The massless (0) fields, and superheavy (G) fields 27/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  28. This defines the PQ charges of X and H. 28/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  29. The PQ breaking diagram is 29/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  30. The A-term This can be compared with the main axion potential For gravity mediation, |θ| may be oforder 30/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  31. 30/31 J E Kim “Summary “ Summer Institute 2013, Gurye 22 August 2013

  32. Thanks for coming this region. END settles down Gold Stone boson the truth 金 鎭 義 愛新覺羅

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