Higgs and Flavor Physics supplementary slides First Joint ICTP - T rieste/ICTP - SAIFR School on Particle Physics 2018 Benjamín Grinstein
Problem 1: Winter?? in São Paulo 2
Problem 2: Schedule of lectures? 3
Fat Skinny For many like these see http://ckmfitter.in2p3.fr/www/results/plots_ichep16/ckm_res_ichep16.html
Flavor Physics: an important constraint on all new BSM models [ Neubert, EPS2011 ] Generic bounds without a flavor symmetry 1 10 5 ( ¯ Q i Q j )( ¯ L SM + Q i Q j ) Λ 2 CP UV 10 4 Λ UV [TeV] 10 3 10 2 10 1 ( s → d ) ( b → d ) ( b → s ) ( c → u ) ∆ m s , A s ∆ m K , � K ∆ m d , sin 2 β D – ¯ D SL TASI Exercise: from these determine bounds with MFV assumption 5
No Angles Only angles ( CPV asymmetries )
Volume 52B, number 1 PHYSICS LETTERS 16 September 1974 Their charge asymmetry is evaluated as a function of T' and p' in bins of width At' = 0.5 × 10-10s and p' = f 2 GeV/c starting at rmi n = 2.25 × 10 -10 s and Pmin = 7 GeV/c. The mass difference Am is determined by a comparison of the time dependence of the measured charge asym- metry with the theoretical expectation fi(r', Am, y) for the set of parameters to be determined. The theoretical function ~ and its derivatives are calculated by Monte Carlo techniques from eq. (2). This treatment accounts for the following: - The K~3 matrix elements according to V-A theory with linear formfactors for the hadronic current [3] and radiative corrections [4]. - The observed beam profile, and the experimental resolution and acceptance. - Transformation from the true kaon momentum p and lifetime r to the measured quantities p' and r'. - The shape of the kaon momentum spectrum and the dilution factor A(p) as obtained in the K~2 analysis [1 ] The influence of the actual form of the matrix element on the charge asymmetry is weak. The shape of the momentum spectrum enters only indirectly in the transformation from r to r'. The K S lifetime and the K L charge asymmetries are taken from previous results of the same experiment [ 1,2]. The results of the best fits to the measured charge asymmetries are shown in figs. 1 and 2. The AS-AQ factory is left free in the fits. The uncor- rected values for the KL-K S mass difference are: Am(Ke3 ) = (0.5287 -+ 0.0040) × 1010 s -1 , Am(K3 ) = (0.526 + 0.0085) × 1010 s -1 . 008- CHARGE ASYMMETRY IN THE DECAYS K°----~Tc;e'*v 008 - 0.04 - 0.02 - Z +~,~- ++ 4. + i "I Z I • I l I • at dl I I I I I i o i L 20 i Z i K ° DECAY TIME x' (lO'l°sec) v -002 - -0.04 . -01)6 B -0.08 Fig. 1. The charge asymmetry as a function of the reconstructed decay time r' for the Ke3 decays. The experimental data are Volume 52B, number 1 PHYSICS LETTERS 16 September 1974 compared to the best fit as indicated by the solid line. 0.06 CHARGE ASYMMETRY IN THE DECAYS K ° ,. It; p-*v 116 0.04 S. Gjesdal, et al, Phys.Lett. B52 ( 1974 ) 113 0.02 -'~ +'+4-4-+ ,, . , : t ~- 1 I - I l 0 I [1 I 10 , i 20 7" T T z ÷ K ° DECAY TIME x' (lO'l°sec) -0.02 A z i -0.04 -0.06 -0.08 -0.10 7 Fig. 2. The charge asymmetry as a function of the reconstructed decay time r' for the K~ decays. The experimental data are com- pared to the best fit as indicated by the solid line. The quoted error includes the statistical error as well as the uncertainties in the dilution factor. × 2 values per degree of freedom of 17/23 and 16/24 are obtained. The above result is obtained assuming an incoherent mixture of K ° and ~o produced at the centre of the primary target. The following corrections account for the accumulated effects due to secondary interactions of the kaons in the beam line. These effects can be described as a common initial phase change of 0.4 ° +-0.3 ° [1 ] and results in a correction of (+0.0018 -+ 0.0013) × 1010 s -1 in Am. Kaons produced in the beam dump lead to an independent correction of (+0.0012 + 0.005) X 1010 s -1. Furthermore, Ke3 radiative decays cause a (-0.45 -+ 0.1)% shift in the reconstructed kaon momentum implying a correction of (+0.0024 +- 0.0005) X 1010 s-1. The final corrected values of Am and the average from Ke3 and K~, 3 decays are: Am(Ke3 ) =(0.5341 +-0.0043) X 1010s -1 , Am(K3 ) = (0.529 + 0.010) × 1010 s -1 , Am(av) = (0.5334 +- 0.0040) × 1010 s -1 . The quoted error includes the estimated uncertainties of the corrections including the uncertainty in the back- ground subtraction of the K~3 data. In addition, a 0.3% systematic error has to be allotted to the uncertainty in the momentum calibration and the associated uncertainty in the K S lifetime [1 ]. The results compare well with an independent determination of Am by the two-regenerator method [5] 117
This is B 0 41 1 1 A mix A mix a) b) 0.5 0.5 0 0 -0.5 -0.5 -1 -1 -20 -10 0 10 20 0 5 10 15 20 Δ t (ps) | Δ t| (ps) FIG. 25: Time-dependent asymmetry A ( ∆ t ) between unmixed and mixed events for hadronic B candidates with m ES > /c 2 , a) as a function of ∆ t ; and b) folded as a function of | ∆ t | . The asymmetry in a) is due to the fitted bias in the 5 . 27 GeV ∆ t resolution function. Mistag Fraction Babar, arXiv.org > hep - ex > arXiv:hep - ex/0201020 8
This is Bs 9
Mixing: slow/fast? orm V Q q i W q Q 2 nd Po Po q q i i q Q W te almost zero? ICHEP, Melbourne, July 9, 2012 ! from Van Kooten 10
Gold plated examples: b → c ¯ cs → � V ∗ tb V td �� V cb V ∗ �� V cs V ∗ � = ∓ e − 2 i β , B 0 → ψ K 0 cs cd S,L = ∓ λ ψ K 0 L,S V tb V ∗ V ∗ cb V cs V ∗ cs V cd td − CP of S, L ¯ q/p p/q for K A f /A f 11
and B s → ψφ , ψπ + π − ✓ V ∗ ◆ ✓ V cb V ∗ ◆ tb V ts cs = − e − 2 i β s λ ψπ + π − = − small angle in squashed V tb V ∗ V ∗ cb V cs ts unitarity triangle ≈ 0 in SM * V ts V tb ( ! , " ) * * V us V ub V cs V cb % ( * V ts V V cs V cb SM " # 2 $ s = # 2arg # * ! s * = # 0.04 rad ' * (1, 0) (0, 0) tb ! s ' V cs V & ) * cb , good place for NP to 35 Δ ln( L ) LHCb Events / 15 MeV 800 LHCb 700 30 600 S-wave dominates 25 500 400 ↓ ↓ 20 300 / φ J ψππ = � 0 . 019 +0 . 173+0 . 004 − 0 . 174 − 0 . 003 rad 200 s 15 100 0 500 1000 1500 2000 10 m( π π + - ) (MeV) 5 0 0 1 2 3 -3 -2 -1 φ (rad) s B → ψφ ( K + K − ) requires angular analysis, separate partial waves. Combined analysis: → → φ s = − 0 . 002 ± 0 . 083 ± 0 . 027 rad [ G Cowan, ICHEP 2012 ] 12
→ b → ccd modes B 0 → D + D − B 0 → D ∗ + D ∗− B 0 → D ± D ∗∓ CP-eigenstate mix of CP-odd/even Not a CP-eigenstate S = sin 2 φ 1 , A = 0 S , A for each of 2 amplitudes × 2 modes if negligible penguin longitudinal / transverse ⇒ C , S , A , ∆ S , ∆ A b → s penguin modes • No sign of deviations from standard CKM • Many of these new: expect improvement in next generation 13
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