1 Introduction - Caltech High Energy Physics - California Institute of ...

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10 Introduction Measuring γ Table 1-6 lists two expected statistical errors on the measurement of γ with 10 ab −1 . The more conservative error estimate of 2 ◦ − 3 ◦ is obtained employing only methods and decay modes that have already been observed and used in γ-related measurements. These are B ± → DK ± with D 0 → K − π + , D 0 → CP - eigenstates, and D 0 → KSπ + π − .The sensitivities are estimated from the quoted experimental references. The range in the estimates is due to current uncertainties in the ratio between the interfering b → u and b → c amplitudes, taken to be between 0.1 and 0.2. The mode D 0 → KSπ + π − is especially important in that it reduces the 8-fold asymmetry to a 2-fold asymmetry. The less conservative estimate of 1.2 ◦ − 2 ◦ is based on cautious assumptions about the sensitivities that could be obtained with modes that have yet to be fully explored experimentally. One category of such modes is additional multi-body D decays to final states such as π + π − π 0 , K + K − π 0 , KSK + K − , KSK + π − , KSπ + π − π 0 , K + π − π 0 ,andK + π − π + π − . The second category is B 0 → DK (∗)0 , with a time-dependentand time-independentanalysis. The third category is B → D + KSπ − decays [16], which also requires a timedependent analysis. It should be noted that there are additional modes and methods, not included in the γ sensitivity estimates of Table 1-6, that can be used to measure γ. These methods presently suffer from difficulties in obtaining a clean extraction of γ, which will likely be resolved in the future. Examples include sin(2β + γ) inB → D (∗)+ π − , B → D (∗)+ ρ − , where BABAR has already published measurements of CP asymmetries and constraints on γ. It is not clear, however, whether the ratio between the interfering b → u and b → c amplitudes can be measured with sufficient precision for these measurements to be competitive with the B → DK measurements at high luminosity. The estimates also exclude the possible contribution of B ± → DK ± π 0 , where experimental issues are yet to be resolved and the level of interference is not yet known. 1.2.3 Physics Performance Projections Various benchmark physics measurements, discussed in Sections 1.2.1 and 1.2.2, have been used to illustrate the physics reach of a Super B Factory on the basis of integrated samples. In some cases, comparisons with hadronic experiments are also possible. A set of assumptions has been made concerning the pace at which these projects reach their design luminosity goals, as summarized in Table 1-7. These assumptions then form the basis for time varying projections of effective tagged samples in a number of important channels (observed yield weighted by effective tagging efficiency). Finally, the effective tagged sample sizes, when combined with measured or simulated single event sensitivities can be used to project the errors on benchmark observables. In the case of the e + e − collider options the samples are assumed to be continuations of the event samples obtained at PEP-II through the end of the already planned program. In all cases, PEP-II is assumed to cease operations at the point when installation of the upgraded collider must begin. Integrated luminosities in these periods are taken from the published PEP-II plan. Figure 1-3 shows the time evolution of the error on the sine coefficient for time-dependent CP violation in various b → s Penguin modes. In this case the error reaches below 0.04 in most case within two years, which is the regime that is relevant for definitive demonstration of potential New Physics in such modes. Figure 1-7 shows the error evolution for the electromagnetic Penguin mode B 0 → K 0 Sπ 0 γ. Figure 1-4 shows the effective tagged sample accumulations and expected evolution of the error on the sine amplitude in time-dependent CP asymmetries for B 0 → π + π − . In this case both LHCb and BTEV are capable of measurements, as well as a Super B Factory. However, only a Super B Factory is capable of doing the complete isospin analysis of the two-body modes in order to obtain the correction from the determination of αeff in the CP asymmetry from the charged mode to the unitarity angle α. The evolution of this correction as a function of time is shown in Figure 1-5. The error on sin 2α falls below 0.05 within two years of startup for the Super B Factory. The Discovery Potential of a Super B Factory
1.2 Measurement Capabilites of a Super B Factory 11 Figure 1-6 shows a comparable measurement of sin 2α, which reaches below 0.04 within the same period. Error on sine amplitude 0.20 0.18 0.16 0.14 0.12 0.10 0.08 0.06 0.04 0.02 0.00 Jan-03 Jan-04 Jan-05 Jan-06 Jan-07 Jan-08 Jan-09 Jan-10 Jan-11 Years of data accumulation Figure 1-3. Projected time development for the error on the sine coefficient in a fit to the timedependent CP asymmetry for B decays in various b → sss Penguin channels: B 0 → f0K 0 S ( —--— ), B 0 → K 0 Sπ 0 ( −−−−− ), B 0 → ϕK 0 S ( ---), B 0 → η ′ K 0 S ( ——), and B 0 → K + K − K 0 S ( –––)atthe Super B Factory. Per event errors are based on current BABAR analysis. Table 1-7. Startup efficiencies and initial peak luminosities assumed for a Super B Factory at SLAC, and the hadron accelerator-based experiments LHCb and BTeV in making projections of integrated data samples and measurement precision. Jan-12 Jan-13 Facility Start Date Initial efficiency Duration (years) LHCb 1/2008 50% 2 BTeV 1/2010 50% 2 Super B Factory 10/2011 50% 1 10/2012 100% 1 10/2013 140% indefinite Jan-14 Jan-15 Jan-16 The Discovery Potential of a Super B Factory
Page 3 and 4: The Discovery Potential of a Super
Page 5 and 6: Contents 1 Introduction 1 1.1 Overv
Page 7 and 8: 2.17.2 Transversity amplitudes . .
Page 9 and 10: Combined Strategies for γ . . . .
Page 11 and 12: Semileptonic tags . . . . . . . . .
Page 13 and 14: Signals of New Physics . . . . . .
Page 15: 5.4.5 Warped Extra Dimensions Signa
Page 18 and 19: 2 Introduction Current plans call f
Page 20 and 21: 4 Introduction Several comments are
Page 22 and 23: 6 Introduction Table 1-1. Measureme
Page 24 and 25: 8 Introduction Table 1-4. Measureme
Page 28 and 29: 12 Introduction Effective tagged sa
Page 30 and 31: 14 Introduction 1.3 Conclusions As
Page 32 and 33: 16 REFERENCES The Discovery Potenti
Page 34 and 35: 18 Rare Decays 2.2 Present Status o
Page 36 and 37: 20 Rare Decays B → ℓνℓγ, th
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Page 40 and 41: 24 Rare Decays worked out. Updated
Page 42 and 43: 26 Rare Decays the dilepton invaria
Page 44 and 45: 28 Rare Decays 2.3 Theoretical tool
Page 46 and 47: 30 Rare Decays to say that the resu
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Page 50 and 51: 34 Rare Decays Table 2-3. Classific
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Page 58 and 59: 42 Rare Decays analyses [134, 51, 1
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Page 68 and 69: 52 Rare Decays Table 2-8. Theoretic
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Page 72 and 73: 56 Rare Decays 2.10 Prospects for m
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60 Rare Decays 2.12 Double Radiativ
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62 Rare Decays 2.13 Experimental As
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64 Rare Decays AFB AFB FBAsym Nent
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66 Rare Decays if one aims at a num
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68 Rare Decays Most of the comments
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70 Rare Decays A FB 1 0.5 0 −0.5
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72 Rare Decays Figure 2-14. The Dal
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74 Rare Decays mK ∗ EK ∗ A0(q 2
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76 Rare Decays 2.16.2 Sensitivity t
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78 Rare Decays 2.16.3 Electron vers
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80 Rare Decays 2.17 Angular distrib
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82 Rare Decays Ð �Ð Ð � �
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84 Rare Decays Both asymmetries A (
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86 Rare Decays on ℓ = µ and assu
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88 Rare Decays 2.19 Experimental Pr
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90 Rare Decays 0.035 0.03 0.025 0.0
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92 Rare Decays • relatively good
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94 Rare Decays B(B → Xsνν) =(3.
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96 Rare Decays parametrizations wer
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98 Rare Decays 2.21 Purely Leptonic
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100 Rare Decays the scalar and pseu
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102 Rare Decays 2.22 Theoretical Pr
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104 Rare Decays spectrum starts to
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106 Rare Decays 2.23 B 0 → invisi
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108 Rare Decays Figure 2-33. From R
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110 Rare Decays data. Both this “
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112 Rare Decays 2.24.2 B → µµX
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114 Rare Decays 2.24.4 B → µµ T
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116 Rare Decays flavor-conserving o
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118 Rare Decays 2.26 Experimental P
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120 Rare Decays 2.27 Experimental A
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122 Rare Decays 2.28 Theoretical Pr
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124 Rare Decays and ˆs ≡ s/m 2 c
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126 Rare Decays Figure 2-39. The sa
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128 Rare Decays 2.28.2 Rare charm d
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130 Rare Decays [331] and B exp (D
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132 Rare Decays but the effects are
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134 Rare Decays • Rare radiative
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136 REFERENCES References [1] S. L.
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138 REFERENCES [59] Belle Collabora
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140 REFERENCES [117] G. P. Korchems
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142 REFERENCES [177] D. Melikhov an
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144 REFERENCES [234] See, for examp
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146 REFERENCES [288] A. Dedes, Mod.
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148 REFERENCES [346] BABAR Collabor
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150 REFERENCES The Discovery Potent
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152 Angles of the Unitarity Triangl
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244 REFERENCES [27] M. Grothe, Mod.
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246 REFERENCES [84] A. F. Falk et a
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248 REFERENCES [139] Belle Collabor
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250 REFERENCES [188] W. Bernreuther
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252 Semileptonic Decays and Sides o
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314 REFERENCES [25] N. Isgur, M. Wi
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316 REFERENCES [66] A. K. Leibovich
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318 REFERENCES [122] P. Ball and V.
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320 REFERENCES [182] A. I. Sanda an
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322 New Physics Physics and measure
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324 New Physics 5.2 Model-independe
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326 New Physics Rather promising, h
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328 New Physics For the Standard Mo
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330 New Physics Figure 5-2. Results
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332 New Physics These new parameter
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338 New Physics Figure 5-10. Result
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340 New Physics O9 = e2 g 2 s sαγ
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342 New Physics the Standard Model
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344 New Physics For muons we identi
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346 New Physics � 10 5 0 -5 -10 -
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348 New Physics In all cases, the w
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350 New Physics The key point is th
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352 New Physics which allows us to
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354 New Physics Extremizing this ex
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356 New Physics 0.8 0.7 0.6 0.5 0.4
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358 New Physics 12 10 8 6 4 2 0 -2
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360 New Physics 1 0.8 0.6 0.4 0.2 0
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362 New Physics g bR (L) δ m sL (R
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364 New Physics • maximal-parity:
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366 New Physics SΦKs 1 0.75 0.5 0.
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368 New Physics b s s (s b) V-A (s
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370 New Physics could increase f⊥
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372 New Physics The ratio of transv
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374 New Physics where ψ is the cc
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376 New Physics Since, a(s)eiδa(s)
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378 New Physics b B 0 ~ b A d �
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380 New Physics Table 5-5. Measured
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382 New Physics One of the strategi
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384 New Physics Table 5-10. 99% CL
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386 New Physics This is simply the
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388 New Physics scale, the insertio
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390 New Physics In the first model,
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392 New Physics ∆m( B s ) / ∆m(
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394 New Physics Table 5-12. Pattern
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396 New Physics such cases. We shou
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398 New Physics where (m2 dL(R) ˜
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400 New Physics ×Ä �×Ä �
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402 New Physics Table 5-14. Bounds
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404 New Physics Figure 5-35. Allowe
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406 New Physics Conclusions We have
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408 New Physics CP violation from
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410 New Physics are basically affec
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412 New Physics remain close to the
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414 New Physics + 4 s2 C2 7(1 − s
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416 New Physics Quarks Leptons thic
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418 New Physics Yukawa matrices (ea
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420 New Physics The effects of the
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422 New Physics functions of 1/R fo
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424 New Physics normalized AFB 0.15
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426 New Physics In addition, the lo
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428 New Physics From Eq. (5.9) we c
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430 New Physics There will also be
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432 New Physics gauge KK modes to z
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434 New Physics 5.5 Lepton Flavor V
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436 New Physics observation of τ
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438 New Physics LFV τ decays in th
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440 New Physics over these processe
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442 New Physics � � Ï Applicat
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444 New Physics Table 5-22. Experim
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446 New Physics Table 5-23. Pattern
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448 REFERENCES [26] Belle Collabora
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450 REFERENCES [78] A. J. Buras et
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452 REFERENCES [131] M. Beneke et a
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454 REFERENCES [175] R. Harnik et a
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456 REFERENCES [227] J. L. Hewett,
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458 REFERENCES [272] H. Davoudiasl,
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460 REFERENCES [316] K. Tobe, J. D.
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462 REFERENCES The Discovery Potent
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464 Workshop Participants Stefan Ch
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466 Workshop Participants David Lei
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468 Workshop Participants Abner Sof
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