Letter of Intent for KEK Super B Factory Part I: Physics

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Contents Executive Summary 4 1 Introduction 8 1.1 Motivation for the Higher Luminosity B Factory . . . . . . . . . . . . . . . . . . 8 1.2 Belle Status and Prospects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 1.2.1 Status of CP -Violation in b → ccs Processes . . . . . . . . . . . . . . . . 10 1.2.2 Status of CP -Violation in b → sqq Penguin Processes . . . . . . . . . . . 13 1.2.3 Radiative B decays . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 1.2.4 Electroweak Rare B Decays . . . . . . . . . . . . . . . . . . . . . . . . . . 19 1.2.5 Prospects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 2 Flavor Structure of the Standard Model 28 2.1 Flavor Structure of the Standard Model . . . . . . . . . . . . . . . . . . . . . . . 28 2.2 Low Energy Effective Hamiltonians . . . . . . . . . . . . . . . . . . . . . . . . . . 30 2.3 B − B Mixing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 2.4 Time-dependent Asymmetries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 2.4.1 Measurement of sin 2φ1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 2.4.2 Measurement of φ2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 2.5 Theoretical Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 2.5.1 Heavy Quark Symmetry . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 2.5.2 Heavy Quark Expansion . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 2.5.3 Perturbative Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 2.5.4 Lattice QCD . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 3 Flavor Structure of the Physics beyond the Standard Model 47 3.1 Motivation for New Physics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 3.2 New Physics Scenarios . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 3.3 Supersymmetric Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 3.4 SUSY Effect on b → s Transitions . . . . . . . . . . . . . . . . . . . . . . . . . . 50 3.5 Lepton Flavor Violation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 3.5.1 LFV in the Supersymmetric Models . . . . . . . . . . . . . . . . . . . . . 55 3.5.2 SUSY Seesaw Mechanism and SUSY GUTs . . . . . . . . . . . . . . . . . 58 3.5.3 Other Theoretical Models . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 1
4 Sensitivity at SuperKEKB 66 4.1 Overview . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66 4.1.1 Goals of sensitivity studies . . . . . . . . . . . . . . . . . . . . . . . . . . 66 4.1.2 Time-dependent CP asymmetries . . . . . . . . . . . . . . . . . . . . . . . 67 4.1.3 B tagging with full reconstruction . . . . . . . . . . . . . . . . . . . . . . 69 4.2 New CP -violating phase in b → sqq . . . . . . . . . . . . . . . . . . . . . . . . . 72 4.2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72 4.2.2 B 0 → φK 0 S , η′ K 0 S and K+ K − K 0 S . . . . . . . . . . . . . . . . . . . . . . . 72 4.2.3 B 0 → K 0 S K0 S K0 S and π0 K 0 S . . . . . . . . . . . . . . . . . . . . . . . . . . 76 4.2.4 B ± → φφX ± s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79 4.2.5 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 4.3 b → sγ and b → sℓ + ℓ − . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 4.3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 4.3.2 B → Xsγ branching fraction . . . . . . . . . . . . . . . . . . . . . . . . . 86 4.3.3 B → K ∗ ℓ + ℓ − forward-backward asymmetry . . . . . . . . . . . . . . . . . 87 4.3.4 B → Kµ + µ − versus B → Ke + e − . . . . . . . . . . . . . . . . . . . . . . . 89 4.3.5 Mixing induced CP asymmetry in B → K ∗ γ . . . . . . . . . . . . . . . . 90 4.3.6 B → Xsγ direct CP asymmetry . . . . . . . . . . . . . . . . . . . . . . . . 91 4.3.7 b → dγ and b → dℓ + ℓ − . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 4.3.8 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 4.4 More than one neutrino I: B → K (∗) ν¯ν and B → τν . . . . . . . . . . . . . . . . 93 4.4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 4.4.2 Estimation of signal and background . . . . . . . . . . . . . . . . . . . . . 94 4.4.3 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95 4.5 More than one neutrino II: B → ¯ Dτ + ντ . . . . . . . . . . . . . . . . . . . . . . . 99 4.5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 4.5.2 B → ¯ Dτ + ντ Reconstruction . . . . . . . . . . . . . . . . . . . . . . . . . . 99 4.5.3 Kinematic Event Selection . . . . . . . . . . . . . . . . . . . . . . . . . . . 101 4.5.4 Background Components . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 4.5.5 Statistical Significance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 4.5.6 Systematic Uncertainty . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 4.5.7 Constraints on the Charged Higgs Mass . . . . . . . . . . . . . . . . . . . 105 4.5.8 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106 4.6 sin 2φ1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 4.7 φ2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110 4.7.1 Status of the B 0 → π + π − analysis . . . . . . . . . . . . . . . . . . . . . . 110 4.7.2 Isospin analysis for B → ππ . . . . . . . . . . . . . . . . . . . . . . . . . . 110 4.7.3 Status of the B 0 → ρπ analysis . . . . . . . . . . . . . . . . . . . . . . . . 113 4.7.4 Dalitz plot analysis of B 0 → ρπ . . . . . . . . . . . . . . . . . . . . . . . . 113 4.8 φ3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117 4.8.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117 4.8.2 D (∗)− π + modes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 117 4.8.3 B ± → DK ∗± (ADS method) . . . . . . . . . . . . . . . . . . . . . . . . . 121 4.8.4 B ± → DK ± (Dalitz analysis) . . . . . . . . . . . . . . . . . . . . . . . . . 123 4.9 |Vub| . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 4.9.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 4.9.2 Theoretical formalisms for the semileptonic B decays . . . . . . . . . . . . 129 4.9.3 Measurement of inclusive b → u semileptonic decays . . . . . . . . . . . . 135 2
Page 1: Letter of Intent for KEK Super B Fa
Page 5 and 6: Executive Summary The grand challen
Page 7 and 8: Observable SuperKEKB LHCb (5 ab −
Page 9 and 10: Chapter 1 Introduction 1.1 Motivati
Page 11 and 12: e + e − B factory may be measured
Page 13 and 14: Entries/ps (N qξ=−1 −N qξ=+1
Page 15 and 16: Entries / 0.0025 GeV/c 2 30 20 10 0
Page 17 and 18: ) 2 Entries (/ MeV/c 80 70 60 50 40
Page 19 and 20: Events/(1MeV/c 2 ) 60 40 20 data to
Page 21 and 22: events / 2.5 MeV/c 2 10 5 0 10 5 0
Page 23 and 24: Table 1.6: B → Xsℓ + ℓ − br
Page 25 and 26: [2] M. Kobayashi and T. Maskawa,
Page 27 and 28: [37] A. L. Kagan and M. Neubert,
Page 29 and 30: Chapter 2 Flavor Structure of the S
Page 31 and 32: (a) (b) VudV ∗ ub φ3 VudV ∗ ub
Page 33 and 34: ¢ Figure 2.4: Tree-type W boson ex
Page 35 and 36: together with the normalization con
Page 37 and 38: weak phase of the penguin contribut
Page 39 and 40: 2.5.2 Heavy Quark Expansion The inc
Page 41 and 42: FNAL ’98 JLQCD ’98 MILC ’98 C
Page 43 and 44: [8] T. Inami and C. S. Lim, “Effe
Page 45 and 46: [41] A. S. Kronfeld and J. N. Simon
Page 47 and 48: [76] S. Aoki et al. [JLQCD Collabor
Page 49 and 50: quantitatively insufficient (for a
Page 51 and 52: • Decoupling. The squarks and sle
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PSfrag replacements θSUSY S φK 0
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g replacements θ SUSY S φK 0 S ,
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most sensitive to the flavor struct
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When sleptons are much heavier than
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constant. Furthermore, when the rig
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[23] Y. Nir and N. Seiberg, “Shou
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[56] S. Fukuda et al. [Super-Kamiok
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Chapter 4 Sensitivity at SuperKEKB
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l r interval ɛl wl ∆wl ɛ l eff
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decay mode yield eff. (%) purity(%)
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4.2 New CP -violating phase in b
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yields 1.03 ± 0.15(stat) ± 0.05(s
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Mode 5 ab −1 50 ab −1 ∆S ∆A
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A 0.75 0.5 0.25 0 -0.25 -0.5 -0.75
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Events/(10 MeV) 7 6 5 4 3 2 1 (d) B
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significance at 5 ab -1 15 10 5 0
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The above studies aim at providing
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effects which are encoded in the st
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Entries per 33 MeV 10 6 10 5 10 4 1
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) 2 Entries (/ MeV/c 6 5 4 3 2 1 0
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Events/(1MeV/c 2 ) 700 600 500 400
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H 2.5 2 1.5 1 0.5 0 ˜ɛ0 m H ± 10
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Events/(100MeV/c 2 ) 10 4 10 3 10 2
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mode. 98
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¦§¥ ¦§¥£ ¦§¢ ¦§£ Figu
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Table 4.9: Summary of the reconstru
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Figure 4.21: The |MM| 2 distributio
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¡ ¥ £ ¤¥¡ ¡¥ ¢ ¡ ¡
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Entries/ps (N qξ=−1 −N qξ=+1
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4.7 φ2 central value error at erro
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C.L. 1 0.8 0.6 0.4 0.2 0 0 20 40 60
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Using the notation of [69] the deca
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φ 2 error(degree) 10 1 10 -1 10 -1
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B 0 B 0 _ _ b d b _ d _ c d u _ d _
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Entries/ps 14 12 10 8 6 4 2 (a) 0 -
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process (T: color-favored tree, C:
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Figure 4.33: Search for B − → D
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M 2 Ksπ- , GeV 2 3 2.5 2 1.5 1 0.5
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δ, deg 350 300 250 200 150 100 50
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q 2 (GeV 2 ) 30 25 20 15 10 5 reson
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Cuts on (q2 , m2 X ) G(q2 cut, mcut
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f 0,+ (q 2 ) 2.0 1.0 UKQCD APE Ferm
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120 100 80 60 40 20 ID Entries Mean
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Relative Error (%) 20 18 16 14 12 1
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Relative Error (%) 20 18 16 14 12 1
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LFV processes discussed here are ex
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For τ − → µ − (e − )η,
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cluding trigger performance. Howeve
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tanβ 100 80 60 40 20 0 current upp
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4.11 Diversity of physics at Super-
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complicated nature for sin 2 ΘW [1
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where s is the square of the center
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• The properties of these states
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N/20 MeV/c 2 30 20 10 a) 0 2.2 2.6
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Observable Belle 2003 SuperKEKB LHC
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[21] M. Ciuchini et al., Phys. Rev.
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[62] K. Abe et al. [Belle Collabora
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[95] A. K. Leibovich, I. Low and I.
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[132] M. Gronau, Y. Grossman and J.
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Chapter 5 Study of New Physics Scen
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(a) (c) S(K *0 γ) S(K *0 γ) 0.2 0
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0.2 0.6 1 1 S(K *0 γ) S(φKs) 0 -1
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0.2 0.6 1 1 S(K *0 γ) S(φKs) 0 -1
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parameters central values errors 0.
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(a) (b) (c) Figure 5.8: (a) Constra
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Figure 5.9 also show the SUSY model
show all

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