Download presentation

Presentation is loading. Please wait.

Published byDenzel Graver Modified over 3 years ago

1
B. Golob, Ljubljana Univ.Results from B factories 1HQP School, Dubna, Aug 2008 Boštjan Golob University of Ljubljana, Jožef Stefan Institute & Belle Collaboration Beauty and charm results from B factories University of Ljubljana Jožef Stefan Institute Helmholtz International Summer School Heavy Quark Physics Bogoliubov Laboratory of Theoretical Physics, Dubna, Russia, August 11-21, 2008 JINR

2
B. Golob, Ljubljana Univ.Results from B factories 2HQP School, Dubna, Aug 2008 Outline Part of B-factories lectures with A.J. Bevan; division by topics, not by experiments It is a curious fact that people are never so trivial as when they take themselves seriously. O. Wilde (1854 - 1900) exp. results with some comments on phenomenology

3
B. Golob, Ljubljana Univ.Results from B factories 3HQP School, Dubna, Aug 2008 Introduction Experiments (c c) 1.3 nb (~10 9 X c Y c pairs) continuum production * c c on resonance production e + e - (4S) B 0 B 0, B + B - (BB) 1.1 nb (~0.9x10 9 BB pairs) e + e - (3770) D 0 D 0, D + D - (coherent C=-1 state); ~800 pb -1 of data available at (3770); 2.8x10 6 D 0 D 0 3.5 fb -1 on tape (D 0 ; p t >5.5 GeV,|y|<1) 13 b 50x10 9 D 0 s very diverse exp. conditions We all live with the objective of being happy; our lives are all different and yet the same. Anne Frank (1929 -1945)

4
B. Golob, Ljubljana Univ.Results from B factories 4HQP School, Dubna, Aug 2008 B oscillations diagonal elem.: P 0 P 0 (including decays) non-diagonal elem.: P 0 P 0 P0P0 q1q1 q2q2 q1q1 P0P0 q2q2 P 0 = K 0, B d 0, B s 0 and D 0 Time evolution (also lectures by U. Nierste, A. Pivovarov) flavour states H eff eigenstates: (defined flavour) (defined m 1,2 and 1,2 ) eigenvalues: more

5
B. Golob, Ljubljana Univ.Results from B factories 5HQP School, Dubna, Aug 2008 B oscillations Time evolution for easier notation: t (4S) B 0 B 0 : B meson pair in quantum coherent state; before 1st B decay: B 0 B 0 1st B decay: tag B 0 /B 0 ; mixing clock start, t t decay rates: Decay time distribution of experimentally accessible states P 0, P 0 sensitive to mixing parameters x and y, depending on final state D. Kirkby, Y. Nir, CPV in Meson Decays, in RPP P 1,2 evolve in time according to m 1,2 and 1,2 : |P 0 (t)>, |P 0 (t)> more

6
B. Golob, Ljubljana Univ.Results from B factories 6HQP School, Dubna, Aug 2008 B oscillations Time evolution visually unobservable deviation from pure exponential ~ B s 0 more difficult to observe oscillations within probab. to observe an initially produced X 0 as X 0 after time t ~ D 0

7
B. Golob, Ljubljana Univ.Results from B factories 7HQP School, Dubna, Aug 2008 B oscillations Method similar to CPV, reconstruct flavor specific final states B sig B tag J/ K*0K*0 + - - K+K+ K-K- l-l- fully reconstruct decay to flavor specific final state tag flavor of other B from charges of typical decay products t= z/ c determine time between decays (4S) determined B 0 (B 0 ) B 0 or B 0 signal

8
B. Golob, Ljubljana Univ.Results from B factories 8HQP School, Dubna, Aug 2008 B oscillations Method reconstructed flavour specific decays Belle, PRD71, 072003 (2005), 140 fb -1 E signal region measure t distribution more Method t distribution A f =0, |y|<<1 w: wrong tag probability (reduces ampl. of oscillations) R( t): resolution function - intrinsic detector resolution on position of both B vertices - smearing due to non-primary tracks - smearing due to B meson CMS momentum aver ( t)=1.43 ps more

9
B. Golob, Ljubljana Univ.Results from B factories 9HQP School, Dubna, Aug 2008 B oscillations Results flavour asymmetry Belle, PRD71, 072003 (2005), 140 fb -1 m d =(0.511±0.005±0.006) ps -1 HFAG, http://www.slac.stanford.edu/xorg/hfag/ m d =(0.507±0.005) ps -1 x= m d Bd = 0.776±0.008 largest syst.: D** bkg.

10
B. Golob, Ljubljana Univ.Results from B factories 10HQP School, Dubna, Aug 2008 B oscillations if m i = m j due to CKM unitarity: no mixing d b b d u, c, t W+W+ W-W- B0B0 B0B0 d b b d W+W+ W-W- B0B0 B0B0 V id V jd V jb * V ib * Phenomenology (see also lectures by U. Nierste) P 0 -P 0 transition box diagram at quark level P 0 : any pseudo-scalar meson; specific example of B d 0 considering CKM values and q masses: largest contribution from t quark loop int., CKM unitarity more

11
B. Golob, Ljubljana Univ.Results from B factories 11HQP School, Dubna, Aug 2008 B oscillations calculate M 12, 12 from box diagram; from that calculate m, must be calculated to determine V ij ; theor. uncertainty (LQCD) q: d (B d ) or s (B s ); and m s also measured... Phenomenology A.J. Buras et al., Nucl.Phys.B245, 369 (1984) B Bq : bag parameter, f Bq : decay constant B ( ) : QCD corr. O (1) S 0 (x t ): known kinematic function reduced theor. uncertainty in ratio M. Okamoto, hep-lat/0510113 2

12
B. Golob, Ljubljana Univ.Results from B factories 12HQP School, Dubna, Aug 2008 B oscillations B s amplitude method: instead of m s fit A at different values of m s ; A =1 oscillations at this m s value CDF, PRL97, 242003 (2006) A m s =(17.77±0.10±0.07) ps -1 x= m s Bs = 25.5±0.6 m s / m d uncertainties on ( 2 + 2 ): m d constraint ±13% m d ±1% f Bd B Bd ±12% m s / m d constraint ±6% m s / m d ±1.5% ±5%

13
B. Golob, Ljubljana Univ.Results from B factories 13HQP School, Dubna, Aug 2008 Leptonic B decays B Q q P+P+ l+l+ fPfP V Qq (B + ): (B + ): (B + e + )= 1:4x10 -3 :10 -7 f P meas. V Qq ; H ± ; W+W+ Method fully reconstruct B tag in hadronic decays (K + - + - + ); search for 1/3 tracks from B sig (e - ); no additional energy in EM calorim. (from 0,,...); signal at E ECL ~0 B candidate event EM calorim. (H + )

14
B. Golob, Ljubljana Univ.Results from B factories 14HQP School, Dubna, Aug 2008 BaBar, PRD77, 011107 (2008), 346 fb -1 Leptonic B decays Results Belle, PRL97, 251802 (2006), 414 fb -1 signal bkg. N sig =17 ± 5 3.5 signif. (-2ln L 0 / L max ) largest syst. from signal and bkg. shape semileptonic tag added BaBar: hadronic decays for B tag ; combined with semil. decays: more BaBar, PRD76, 052002 (2007), 346 fb -1 expected signal Br=3x10 -3 HFAG, http://www.slac.stanford.edu/xorg/hfag/ Belle, ICHEP08, 600 fb -1

15
B. Golob, Ljubljana Univ.Results from B factories 15HQP School, Dubna, Aug 2008 Leptonic B decays Phenomenology using f B =(216 ± 22) MeV, |V ub |=(3.9 ± 0.5)x10 -3, B Br SM (B + ) = (1.25 ± 0.41)x10 -4 new physics: to make predictions/measure |V ub | f B (from LQCD) needed; validate LQCD in charm sector (better exp. precision) to be addressed later; established method for decays with large E miss ; to be exploited at SuperB (BK, dark matter) HPQCD, PRL95, 212001 (2005) SuperB 50 ab -1 b u B-B- H+H+ more

16
B. Golob, Ljubljana Univ.Results from B factories 16HQP School, Dubna, Aug 2008 Semileptonic B decays P P l q1q1 q3q3 l+l+ M1M1 q2q2 M2M2 q2q2 in suppressed by m l 2 /m M1 2 negligible for e, ; not for P V l 3 form f. for e, ; 4 for HQS: relations among f.f.s; can be tested; for suppressed f.f.s only by W±,W±, H±H± H ± exchange modified SM Brs for ; in P V only helicity=0 V possible more measurement challenging due to multiple s; skip

17
B. Golob, Ljubljana Univ.Results from B factories 17HQP School, Dubna, Aug 2008 Semileptonic B decays B 0 D* - + method: D* reconstruction; e, B sig : D* and e/ B tag : rest of event control sample: B sig D*, check B tag reconstruction signal sample: requirements on X mis, E vis method: excl. B tag reconstruction e, B sig : D/D* and e/ m mis 2 =p mis 2 MC data B sig D* related to missing mass (>0 for several ); E vis < m( (4S)) D* B sig e/ B tag Belle, PRL99, 191807 (2007), 480 fb -1 BaBar, PRL100, 021801 (2008), 209 fb -1 missing mass (>0 for several );

18
B. Golob, Ljubljana Univ.Results from B factories 18HQP School, Dubna, Aug 2008 Semileptonic B decays B 0 D* - + results bkg. from B 0 D*e (peaking) N sig =60 ±12 6.7 signif. (-2ln L 0 / L max ) main systematics: from signal and bkg shape (MC) B tag reconstr. eff. (control sample) Belle, PRL99, 191807 (2007), 480 fb -1 BaBar, PRL100, 021801 (2008), 209 fb -1 D* - + D - + D - l + D* - l + last uncertainty: normaliz. modes (D l, D* l ) main systematics: from signal and bkg shape (MC) D** contrib.

19
B. Golob, Ljubljana Univ.Results from B factories 19HQP School, Dubna, Aug 2008 Semileptonic B decays B D ( * ) phenomenology limits on H ± ; inclusive B X c predicted Br: (2.30 ±0.25)% sum of D*, D : (2.59 ±0.39)% M. Tanaka, Z.Phys.C67, 321 (1995) Ba/lle average (assuming no correl. and 100% long. polariz.) BaBar A.F.Falk et al., PLB326, 145 (1994) (B D* long. ) (B D* )| SM more

20
B. Golob, Ljubljana Univ.Results from B factories 20HQP School, Dubna, Aug 2008 b s Motivation FCNC process; sensitive to NP in loop; parton level: E m b /2; determ. of m b, Fermi motion needed for V ub determ. from inclusive semil. B decays; Difficulties theory: parameter extraction from partial Br(E >E cut ) extrapolation needed; experiment: measure low E huge bkg. b s W±W± u, c, t V qb V qs b s u, c, t XY H±H± ± b s XY more signal continuum 0 Your background and environment is with you for life. No question about that. S. Connery (1930)

21
B. Golob, Ljubljana Univ.Results from B factories 21HQP School, Dubna, Aug 2008 b s Inclusive measurement (see also lectures by U. Heisch) only reconstructed; bkg. treatment subtract lumin. scaled off-data from on-data (continuum bkg.); veto 0, rest bkg. from MC (control samples); timing info for EM calorim. clusters (overlapping evts.: hadronic + Bhabha) inclusive B 0 X, X samples reconstructed in data (off- data subtraction) and MC; 5%-10% correction to MC bkg. normaliz. on off on scaled off subtracted 80% of remaining bkg. from 0, after vetoing 0, Belle, arXiv:0804.1580, 605 fb -1 more

22
B. Golob, Ljubljana Univ.Results from B factories 22HQP School, Dubna, Aug 2008 b s Inclusive measurement E spectrum Br(B X s ) deconvolution of E (E meas E true ; using radiative di-muon evts); boost to B rest frame; b d contrib. (4%); consistent with 0 above B decay threshold m b 1S /2~2.3 GeV last uncertainty due to boost; largest system.: corr. factors in off-data subtraction; bkg. s from B (other than 0, ) Belle, arXiv:0804.1580,605 fb -1

23
B. Golob, Ljubljana Univ.Results from B factories 23HQP School, Dubna, Aug 2008 b s Seminclusive measurement B reconstructed; (see also lectures by B. Pecjak) sum of exclusive decay modes X s : no S-wave states in BX s 22 final states K -(0) +(1-4) 10 K -(0) + +(0-2) 6 3K -(0) +(0-1) + X s B (better resol.) bgk.: 0, veto, NN from topological variables for continuum; not all final states reconstructed corr. for missing fraction (from MC, checked with data in various final state categories) BaBar, PRD72, 052004, 82 fb -1 peaking bkg.: missing final states reconstructed as one of signal decays; signal decays with some particles exchanged with other B 25% at low M(X s ) from K L at high M(X s ) from K+ 5

24
B. Golob, Ljubljana Univ.Results from B factories 24HQP School, Dubna, Aug 2008 b s Seminclusive measurement fit in bins of M(X s ) Br(M(X s )); E spectrum (E >1.9 GeV); moments of d /dE also determined; m b (and other QCD parameters) determined for use in b u l ; e.g. BaBar, PRD72, 052004, 82 fb -1 K*(892) main systematics: from missing final states more details at HFAG, http://www.slac.stanford.edu/xorg/hfag/ more

25
B. Golob, Ljubljana Univ.Results from B factories 25HQP School, Dubna, Aug 2008 b s Phenomenology average of results: comparison with limits from B : 95% C.L. lower limit on m(H ± ), all tan M. Misiak et al., PRL98, 022002 (2007) HFAG, winter 08, http://www.slac.stanford.edu/xorg/hfag/ first error: stat.+syst. second error: E spectrum (extrapol.) Belle, PRL97, 251802 (2006), 414 fb -1 m(H ± )=300 GeV For my part I know nothing with any certainty, but the sight of the stars makes me dream. V. van Gogh (1853 - 1890)

26
B. Golob, Ljubljana Univ.Results from B factories 26HQP School, Dubna, Aug 2008 b s ll Motivation (see also lectures by E. Lunghi) FCNC process; M expressed in terms C 7,9,10 ; Wilson coeff.s NP modifies C 7,9,10 or/and adds new operators Wilson coeff.s independent of final state (C 7 same for b s and b s ll ); |C 7 | 2 constrained by Br(B X s ); sign not known; b s ll : interference of amplitudes additional information (also sign) on C 7,9,10 b s W±W± u, c, t V qb V qs b s =V qb V* qs C 7 x = perturbative (dependence on M W, m t, M NP ) non-perturbative more

27
B. Golob, Ljubljana Univ.Results from B factories 27HQP School, Dubna, Aug 2008 b s ll exclusive B K* ll K distrib. fraction of long. polarized K* (F L ); l distrib. lepton forward-backward asymmetry (A FB ); prediction for A FB : q 2 =m 2 ( l + l - ) B l+l-l+l- K* K K B l-l- l l+l+ q2q2 SM C 7 = -C 7 SM C 9 C 10 = -C 9 SM C 10 SM C 7 = -C 7 SM C 9 C 10 = -C 9 SM C 10 SM low q 2 high q 2 veto

28
B. Golob, Ljubljana Univ.Results from B factories 28HQP School, Dubna, Aug 2008 b s ll reconstruction e + e -, + - ; K* K, K 0, K s ; M bc fit combinatorial bkg.: e + - ; misid. hadrons: h + - ; peaking bkg.: D(K* ) ( sample only, veto on m(K* )); signal fraction K fit F L free parameter; l fit A FB free parameter; BaBar, arXiv:0804.4412, 350 fb -1 low q 2 high q 2 N s =27.2 ±6.3 N s =36.6 ±9.6

29
B. Golob, Ljubljana Univ.Results from B factories 29HQP School, Dubna, Aug 2008 b s ll results F L ; consistent with SM and -C 7 SM ; A FB ; -C 9 SM C 10 SM disfavored (>3 ); stronger constraints; BaBar, arXiv:0804.4412, 350 fb -1 SM q2q2 average over interval SM C 7 = -C 7 SM C 9 C 10 = -C 9 SM C 10 SM C 7 = -C 7 SM C 9 C 10 = -C 9 SM C 10 SM Belle, PRL96, 251801 (2006), 357 fb -1 C 7 = -C 7 SM more Belle, ICHEP08, 600 fb -1

30
B. Golob, Ljubljana Univ.Results from B factories 30HQP School, Dubna, Aug 2008 b s ll semi-inclusive similar as b s ; e + e -, + - ; K - /K s +(0-4) ~30% missing modes; charmonium sample provides cross-check of bkg.; constraints on NP in C i Br(B X s ), Br(B X s ll ), Br(K ) Br(B s ), no Br(B K* ll ) (large th. uncertainty) Belle PRD72, 092005 (2005), 140 fb -1 N sig =68 ±14 5.4 signif. (-2ln L 0 / L max ) Belle PRD72, 092005 (2005), 140 fb -1 BaBar PRL93, 081802 (2004), 82 fb -1 C 9 C 7 C 9 C 10 J. Kamenik, arXiv:0805.2363

31
B. Golob, Ljubljana Univ.Results from B factories 31HQP School, Dubna, Aug 2008 B oscillations more Time evolution state initially produced as superposition (n.b.: a(0)/b(0) can be 0) will evolve in time as if interested in a(t), b(t): effective Hamiltonian and t-dependent Schrödinger eq.: eigenstates: (well defined m 1,2 and 1,2 ) D. Kirkby, Y. Nir, CPV in Meson Decays, in RPP back

32
B. Golob, Ljubljana Univ.Results from B factories 32HQP School, Dubna, Aug 2008 B oscillations more Time evolution eigenvalues: diagonal elem.: P 0 P 0 (including decays) non-diagonal elem.: P 0 P 0 P 1,2 evolve in time according to m 1,2 and 1,2 :

33
B. Golob, Ljubljana Univ.Results from B factories 33HQP School, Dubna, Aug 2008 B oscillations more Time evolution eigenvalues:

34
B. Golob, Ljubljana Univ.Results from B factories 34HQP School, Dubna, Aug 2008 B oscillations more Time evolution eigenvalues: back

35
B. Golob, Ljubljana Univ.Results from B factories 35HQP School, Dubna, Aug 2008 B oscillations more Time evolution taking into account we arrive at time evolution of P 0, P 0 : back

36
B. Golob, Ljubljana Univ.Results from B factories 36HQP School, Dubna, Aug 2008 B oscillations more Time evolution decay rates: for CP conjugated states: A f A f, A f A f

37
B. Golob, Ljubljana Univ.Results from B factories 37HQP School, Dubna, Aug 2008 B oscillations more CPV |p/q|=1, y<<1 (well fulfilled for B d ) | f |1 |A f /A f |1 CPV in decay |q/p| 1 CPV in mixing I ( f ) 0 CPV in interf. back

38
B. Golob, Ljubljana Univ.Results from B factories 38HQP School, Dubna, Aug 2008 B oscillations more Method reconstructed flavour specific decays; D* l =0 known meas. known meas. known meas. meas. total bkg D** bkg. Belle, PRD71, 072003 (2005), 140 fb -1 back

39
B. Golob, Ljubljana Univ.Results from B factories 39HQP School, Dubna, Aug 2008 B oscillations more Method tagging q=+(-)1 B 0 (B 0 ) r: tag quality H. Kakuno et al., NIM A533, 516 (2004)

40
B. Golob, Ljubljana Univ.Results from B factories 40HQP School, Dubna, Aug 2008 B oscillations more Method tagging single r bin: two r bins: H. Kakuno et al., NIM A533, 516 (2004) back

41
B. Golob, Ljubljana Univ.Results from B factories 41HQP School, Dubna, Aug 2008 B oscillations more Method resolution function H. Tajima et al., NIM A533, 370 (2004) back R ful : vtx of fully reconstructed B meson R asc : vtx of tagging B meson R np : non-primary tracks R k : kinematic smearing

42
B. Golob, Ljubljana Univ.Results from B factories 42HQP School, Dubna, Aug 2008 B oscillations more if m i = m j due to CKM unitarity: no mixing d b b d u, c, t W+W+ W-W- B0B0 B0B0 d b b d W+W+ W-W- B0B0 B0B0 V id V jd V jb * V ib * Phenomenology P 0 -P 0 transition box diagram at quark level simplified treatment based on dimension: O. Nachtmann, Elem. Part. Phys., Springer-Verlag A.J. Buras et al., Nucl.Phys.B245, 369 (1984) for serious treatment see e.g.: P 0 : any pseudo-scalar meson; specific example of B d 0 back

43
B. Golob, Ljubljana Univ.Results from B factories 43HQP School, Dubna, Aug 2008 Leptonic B decays more Systematic checks B sig decay modes check of E ECL, double tagged decays, B sig - D* 0 l -, D* 0 D 0 0 back Belle, PRL97, 251802 (2006), 414 fb -1

44
B. Golob, Ljubljana Univ.Results from B factories 44HQP School, Dubna, Aug 2008 Leptonic B decays more Phenomenology additional Higgs doublet; tan =v 1 /v 2, ratio of vacuum expectation values; H ± coupling m l same factor as helicity SM suppression ratio independent of H ± contribution: back Type II Two Higgs Doublets Models ( 1 gives masses to d-type and charged l ; 2 gives masses to u-type; in Type I models 1 is decoupled and 2 generates all masses) W.S.Hou, PRD48, 2342 (1993) if meas > SM H ± contribution dominant

45
B. Golob, Ljubljana Univ.Results from B factories 45HQP School, Dubna, Aug 2008 Semileptonic B decays more Form factors PP: B(v) B(v): for m b amplitude can only depend on = v·v; for v = v nothing happens, (1)=1; B(v) D(v): for m b, m c same (HQS) back (v·v): Isgur-Wise function relates two in principle independent form factors for P P transition

46
B. Golob, Ljubljana Univ.Results from B factories 46HQP School, Dubna, Aug 2008 Semileptonic B decays more Form factors PV: back q2q2 one more f.f. if m l not small; HQS: relations among f.f.s for P P and P V

47
B. Golob, Ljubljana Univ.Results from B factories 47HQP School, Dubna, Aug 2008 Semileptonic B decays more B D* phenomenology amplitude for W exchange: M =±,0; =±; W =±,0; D*,, W helicity amplitude for H ± exchange: relation among H ±, W exchange amplitudes: H ± : no contribution of transversely polarized D* (H R,L ± =0) back M. Tanaka, Z.Phys.C67, 321 (1995)

48
B. Golob, Ljubljana Univ.Results from B factories 48HQP School, Dubna, Aug 2008 Semileptonic B decays more B D phenomenology update of predictions: U. Nierste et al., PRD78, 015006 (2008) m B 2 /m H 2 tan 2 (in 2HDM-II) back measurement BaBar, PRL100, 021801 (2008), 209 fb -1

49
B. Golob, Ljubljana Univ.Results from B factories 49HQP School, Dubna, Aug 2008 b s more inclusive semil. B decays semil. width: Operator Product Expansion to O (1/m b 2 ): two parameters, 1, 2 : back average p 2 of b in B hyperfine interaction

50
B. Golob, Ljubljana Univ.Results from B factories 50HQP School, Dubna, Aug 2008 b s more inclusive semil. B decays Fermi motion: new parameter same parameters governing moments of various distributions, e.g. mass of hadronic system in semil. decays: or E moments in b s : back A.F.Falk, M.E.Luke, PRD57, 424 (1998) A.Kapustin, Z. Ligeti PLB355, 318 (1995)

51
B. Golob, Ljubljana Univ.Results from B factories 51HQP School, Dubna, Aug 2008 b s more off-data subtraction : lumin. ratio; hadronic,BXs ON,OFF : efficiency of hadronic, signal selection; F N,E : corr. factor due to lower mean E and multiplicity in off-data back

52
B. Golob, Ljubljana Univ.Results from B factories 52HQP School, Dubna, Aug 2008 b s more E resolution inclusive meas.: E measured in EM calorim.; (E ;E =2 GeV) ~ 20 MeV; semi-inclusive meas.: E from (E ) ~ 1-5 MeV; back

53
B. Golob, Ljubljana Univ.Results from B factories 53HQP School, Dubna, Aug 2008 b s ll more OPE, Wilson coeff. example of b cdu almost point-like inter.: series: product of currents expressed as series of local operators (OPE); such expansion valid if q 2 /M W 2 <<1; in this range an effective theory can be constructed, valid up to a cut-off, in the above case up to M W ; back b c d u W BaBar Physics Book, SLAC-R-504

54
B. Golob, Ljubljana Univ.Results from B factories 54HQP School, Dubna, Aug 2008 b s ll more OPE, Wilson coeff. example of b cdu rad. corr. to lowest order: operators receive radiation corr. and must be renormalized; they become dependent on renormalization scale ; physics must be independent of operators receive dependent coefficients in order for H eff to satisfy: back b c d u W g (i,j: color indices) BaBar Physics Book, SLAC-R-504

55
B. Golob, Ljubljana Univ.Results from B factories 55HQP School, Dubna, Aug 2008 b s ll more OPE, Wilson coeff. example of b cdu under renormaliz. set of operators can be enlarged, for the example under consideration there is also H eff is thus C i ( ) are Wilson coeff., containing information on short distance physics down to (arbitrary) scale ; all heavy masses (M>> ) dependence (m t, M W, M NP ) is contained in C i ( ) back b c d u W g (changed color indices) BaBar Physics Book, SLAC-R-504

56
B. Golob, Ljubljana Univ.Results from B factories 56HQP School, Dubna, Aug 2008 b s ll more OPE, Wilson coeff. once O i ( ) dependence is calculated, C i ( ) follow from for b cdu division of energy scales between C i ( ) and local operators can be schematically viewed as Wilson coeff. C i ( ) are independent of external states (f) back C i ( )

57
B. Golob, Ljubljana Univ.Results from B factories 57HQP School, Dubna, Aug 2008 b s ll more OPE, Wilson coeff. Br(b s ll ): A FB, RPV SUSY contrib.: back | 1i3 1i2 *|<4.7x10 -5 Y.-G. Xu et al., PRD74, 114019 (2006) P. Gambino et al., PRL94, 061803 (2005)

58
B. Golob, Ljubljana Univ.Results from B factories 58HQP School, Dubna, Aug 2008 b s ll more back SM C 7 = -C 7 SM C 9 C 10 = -C 9 SM C 10 SM C 7 = -C 7 SM C 9 C 10 = -C 9 SM C 10 SM Belle, PRL96, 251801 (2006), 357 fb -1

Similar presentations

OK

Semileptonic and EW Penguin Decay Results from BaBar John J. Walsh INFN-Pisa BaBar Collaboration XXXXth Rencontres de Moriond QCD and Hadronic Interactions.

Semileptonic and EW Penguin Decay Results from BaBar John J. Walsh INFN-Pisa BaBar Collaboration XXXXth Rencontres de Moriond QCD and Hadronic Interactions.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on diodes Ppt on statistics in maths lesson Ppt on branches of mathematics Ppt on target marketing Ppt on pin diode Ppt on special types of chromosomes in the karyotype Ppt on solar energy class 9 A ppt on loch ness monster found Download ppt on coordinate geometry for class 9th model Ppt on types of parallelograms worksheets