Belle II の物理 (high-ish scale) SUSY Yukihiro Mimura (National Taiwan University) Talk at Flavor Physics Workshop 2017 (10.31)

Today’s Menu Introduction LHC results Implications to Flavor Physics Belle II physics Heavier Higgs, New FCNC source, GUT Exotics Baryon/lepton number violation? Conclusion

LHC results

Gluino mass bound Unified gaugino mass at GUT scale If gaugino masses are unified,

Good News & Bad News for “highish scale” SUSY Everything is consistent. (125 GeV Higgs mass, FCNC suppression, Cosmology) Bad News: May not be observed at LHC (run-II) Little hierarchy Problem (Cancellation in the minimization condition)

Good News & Bad News from 125 GeV Higgs mass Stop mass and/or mixing (A-term) are large. They are sensitive to radiative EWSB. Good News: Consistent with no sign in direct SUSY search Implication to flavor physics

RGE-induced off-diagonal elements in sfermion mass matrices

125GeV Higgs mass in MSSM Sfermions are heavy (10 TeV ?). Sfermions are 2-3 TeV, but A0 is large (A0 ~ 5 TeV) It can still affect to “accurate” flavor physics via the RGE-induced FCNCs. (So long ! ) or

Belle II Physics

1. , 2. , CP violation , Lepton flavor violation 6. .

Quark-lepton unification? 1. , 2. , CPV , LFV . New FCNC/CP source Left- or right-handed? Quark-lepton unification? Lepto-quark?

CMSSM NUHM1 NUHM2 Very roughly, for For large , is possible. (at M_GUT) NUHM2

LUX, XENON1T, PandaX Heavy?? b u Neutralino LSP-Nucleon scattering s s Non-holomorphic corrections (see later) Neutralino LSP-Nucleon scattering Dutta-YM-Santoso, PRD80(2009)095005 s LUX, XENON1T, PandaX Heavy?? s

PandaX-II 2017, Aug.

Brief review of Higgs Penguin FCNC in SUSY It comes from finite correction due to SUSY br. b s (Choudhury-Gaur, Babu-Kolda, …)

Double Higgs-Penguin for B meson mixings (Hamzaoui-Pospelov-Toharia, Buras et.al., Bobeth et.al., …) s b h,H,A s b Right-handed squark FCNC source is important.

Under SO(10) GUT boundary condition Dutta-YM, PRD78(2008)071702 Before the measurement of Bs phase

CKMfitter Unitarity Triangle

Box contribution is dominant if there is only left-handed FCNC source.

SM All the other data are satisfied at the green points. Dutta-YM, PRD91(2015)095011 All the other data are satisfied at the green points.

CMS/LHCb combined results (Nature 522 (2015) 68) SM predictions :

Popular FCNC source (folklore)

from neutrino FCNC source Dutta-YM, PRD75(2007) 015006

? b-d FCNC > b-s FCNC It is possible if they are induced by anti-symmetric coupling. Dutta-YM, PRD91(2015)095011

In SU(5) GUT Anti-symmetric FCNC source Br depends on slepton masses. arXiv:1002.5012

Note on in SM due to CKM unitarity Clean test Belle II Goal : Belle, PRL 114(2015)151601 Belle II Goal : Model independent analysis by Hurth-Lunghi-Porod

Quark-lepton unification? 1. 2. , CPV , LFV New FCNC/CP source Left- or right-handed? Quark-lepton unification?

Exotics Baryon/lepton number violation

Lepton number violating B meson decays

Baryon number violating processes (Kuzmin, Glashow) (Forbidden?) Wait for HyperKamiokande Proton decay Neutron-anti-neutron oscillations Baryon-antibaryon oscillations Double-proton decay Hydrogen-antihydrogen oscillations

How about Heavy flavor baryons? TeV scale diquark mediation (with a flavor suppression) gives an achievable order of magnitude. (Chacko-Mohapatra) SM singlet (Ajaib-Gogoladze-YM-Shafi) (Dutta-YM-Mohapatra) How about Heavy flavor baryons?

LHCb, arXiv:1708.05808

Summary LHC results : All heavy? But, it can still affect to “accurate” flavor measurements. Precise measurements are the key to new FCNC sources, and heavier Higgs masses. The b-d transition can be larger than the b-s transition. Then, is larger than in unified models. Accurate (CPV) measurement is helpful to check the scenarios of new FCNC sources. Exotics : Lepton/baryon number violating processes

Thank you very much!

Five candidates of the anti-symmetric bi-fermion couplings Neutron and electron EDMs can be as large as the current bounds. 38 38

K meson mixing data are satisfied at the green points. Phys. Rev. D91 (2015) 095011 SM K meson mixing data are satisfied at the green points.

Feature 1 : For a naive hierarchy , we obtain

If is small, one of is small. Feature 2 : If is small, one of is small.

Implication the couplings induce FCNC in the right-handed sleptons (in addition to the left-handed ones from Dirac neutrino couplings) The electron electric dipole moment is generated even if Higgsino mass and scalar trilinear coupling are real. Experimental bound:

Flavor Changing Neutral Current (FCNC) in SUSY GUTs Too much FCNCs in general SUSY breaking masses. Flavor universality of SUSY breaking is assumed. Even if so, off-diagonal elements are induced by RGEs via heavy particle loops (right-handed neutrino, colored Higgs). (Borzumati-Majiero, Moroi, Chang-Majiero-Murayama, …) Investigating FCNCs in quarks and leptons is important to find a footprint of GUT scale physics.

Neutron-antineutron oscillations (Current bound) Cold neutron beam from reactor (Grenoble, France (1994)) (J. Phys. G36, 104006, Mohapatra)

Global fits by GAMBIT collaboration (Global And Modular Beyond-the-Standard-mode Inference Tool) CMSSM

NUHM1 NUHM2

MSSM7:

Best fits by GAMBIT collaboration, 1705.07935