Finding New Dynamics following Gary Larson s `Far Side Cartoon

Transcription

1 JLab, Apr Finding New Dynamics following Gary Larson s `Far Side Cartoon Ikaros Bigi (Notre Dame du Lac) 1

2 JLab, Apr Finding New Dynamics following Gary Larson s `Far Side Cartoon Ikaros Bigi (Notre Dame du Lac) 2

3 JLab, Apr Finding New Dynamics following Gary Larson s `Far Side Cartoon Ikaros Bigi (Notre Dame du Lac) ND It reminds me of the defenders of the Standard Model tell us about signs of New Dynamics. It is possible but not probable. SM 3

4 SM: SU(3) C x SU(2) L x U(1) 4

5 SM: SU(3) C x SU(2) L x U(1) If indeed H 0 with M ~ 127 GeV is found -- everything done? 5

6 SM: SU(3) C x SU(2) L x U(1) If indeed H 0 with M ~ 127 GeV is found -- everything done? No!!! 6

7 SM: SU(3) C x SU(2) L x U(1) If indeed H 0 with M ~ 127 GeV is found -- everything done? No!!! Dark Energy? Dark Matter? Matter 73%?? 23%? 4 % 7

8 SM: SU(3) C x SU(2) L x U(1) If indeed H 0 with M ~ 127 GeV is found -- everything done? No!!! Dark Energy? Dark Matter? Matter 73%?? 23%? 4 % matter vs. anti-matter! Large CP okay, but SM cannot do it! 8

9 SM: SU(3) C x SU(2) L x U(1) If indeed H 0 with M ~ 127 GeV is found -- everything done? No!!! Dark Energy? Dark Matter? Matter 73%?? 23%? 4 % matter vs. anti-matter! Large CP okay, ν oscillations! but SM cannot do it! 9

10 SM: SU(3) C x SU(2) L x U(1) If indeed H 0 with M ~ 127 GeV is found -- everything done? No!!! Dark Energy? Dark Matter? Matter 73%?? 23%? 4 % matter vs. anti-matter! Large CP okay, ν oscillations! CP in leptonic dynamics? but SM cannot do it! 10

11 SM: SU(3) C x SU(2) L x U(1) If indeed H 0 with M ~ 127 GeV is found -- everything done? No!!! Dark Energy? Dark Matter? Matter 73%?? 23%? 4 % matter vs. anti-matter! Large CP okay, but SM cannot do it! ν oscillations! CP in leptonic dynamics? A CP (τ - π - K S ν)= (-0.36±0.23±0.11)% BaBar vs. (0.36±0.01)% SM 11

12 need search for existence of ND & its (or their) `shape(s) `existence : > 1 neutral Higgs, charged Higgs, Z, W, squarks 12

13 need search for existence of ND & its (or their) `shape(s) `existence : > 1 neutral Higgs, charged Higgs, Z, W, squarks `shape : most parameters of ND affect flavour dynamics i.e., indirect evidences for ND highest sensitivities in CP asymmetries! 13

14 New Paradigm in Fundamental Physics! 14

15 To higher & higher energy to probe basic dynamics? 15

16 To higher & higher energy to probe basic dynamics? ILC? PS -> SPS -> SPPS -> FNAL -> LHC -> SLHC? SSC µ+µ- Collider? 16

17 To higher & higher energy to probe basic dynamics? ILC? PS -> SPS -> SPPS -> FNAL -> LHC -> SLHC? SSC µ+µ- Collider? We need -- and should have change in paradigm: not Nuclear Physics -> HEP -> String Physics 17

18 To higher & higher energy to probe basic dynamics? ILC? PS -> SPS -> SPPS -> FNAL -> LHC -> SLHC? SSC µ+µ- Collider? We need -- and should have change in paradigm: not Nuclear Physics -> HEP -> String Physics higher energy but precision & correlations fundamental dynamics 18

19 To higher & higher energy to probe basic dynamics? ILC? PS -> SPS -> SPPS -> FNAL -> LHC -> SLHC? SSC µ+µ- Collider? We need -- and should have change in paradigm: not Nuclear Physics -> HEP -> String Physics higher energy but precision & correlations Collaboration of fundamental dynamics Hadronic Dynamics/MEP & HEP! 19

20 CP in heavy flavour transitions for K,B,D hadrons (& tops & τ) CP violations driving by weak dynamics for quarks measurable CP asymmetries involve hadrons in the final states 20

21 CP in heavy flavour transitions for K,B,D hadrons (& tops & τ) CP violations driving by weak dynamics for quarks measurable CP asymmetries involve hadrons in the final states need to control hadronization! 21

22 CP in heavy flavour transitions for K,B,D hadrons (& tops & τ) CP violations driving by weak dynamics for quarks measurable CP asymmetries involve hadrons in the final states need to control hadronization! `Before : HEP spectroscopy of hadrons: concept of quarks, QCD as theory for strong dynamics jets as `background for direct production of new `stuff ND -- like SUSY 22

23 CP in heavy flavour transitions for K,B,D hadrons (& tops & τ) CP violations driving by weak dynamics for quarks measurable CP asymmetries involve hadrons in the final states need to control hadronization! `Before : HEP spectroscopy of hadrons: concept of quarks, QCD as theory for strong dynamics jets as `background for direct production of new `stuff ND -- like SUSY the birth of hadrodynamics basis of spectroscopy playgrounds of `plumbers for jets 23

24 `Now : hadrodynamics as a technology with accuracy for establishing the `existence of New Dynamics (ND) & 24

25 `Now : hadrodynamics as a technology with accuracy for establishing the `existence of New Dynamics (ND) & probe its or their `shape in indirect ways! 25

26 `Now : hadrodynamics as a technology with accuracy for establishing the `existence of New Dynamics (ND) & probe its or their `shape in indirect ways! Remember quote of Marinus (~468 AD student of Proklos, known Neoplatonist Philosopher): 26

27 `Now : hadrodynamics as a technology with accuracy for establishing the `existence of New Dynamics (ND) & probe its or their `shape in indirect ways! Remember quote of Marinus (~468 AD student of Proklos, known Neoplatonist Philosopher): Only being good is one thing but good doing it is the other one! 27

28 `Now : hadrodynamics as a technology with accuracy for establishing the `existence of New Dynamics (ND) & probe its or their `shape in indirect ways! Remember quote of Marinus (~468 AD student of Proklos, known Neoplatonist Philosopher): Only being good is one thing but good doing it is the other one! remember SUSY! 28

29 Status of CP in B, D, K & τ transitions matter ~ anti-matter without CP we could not exist 29

30 Status of CP in B, D, K & τ transitions matter ~ anti-matter without CP we could not exist Theorist enthralled by Beauty & Charm minor asymmetry enhances their beauty & charm 30

31 Theorist enthralled by Beauty & Charm minor asymmetry enhances their beauty & charm 31

32 Theorist enthralled by Beauty & Charm CP asymmetry enhances Beauty & Charm decays! 32

33 Known from middle ages: Philosopher enthralled by beauty! 33

34 Since 1980: 2 Theorists enthralled by beauty hadrons! 34

35 Outline I: Status of CP Asymmetries in B, D, K & τ II: Parameterization of CKM Matrix through O(λ 6 ) III: Theoretical Tools for Treating Final States Interactions `Nabis Project IV: Summary of Indirect Searching for New Dynamics (ND) 35

36 I. Status of CP in B, D, K & τ transitions I.1 Data on CP Asymmetries in B, D & τ Decays 36

37 I. Status of CP in B, D, K & τ transitions I.1 Data on CP Asymmetries in B, D & τ Decays indirect CP [ΔΒ/C=2 dynamics]: sin 2φ 1 = S(B d -> ψk S ) HFAG = ± sinφ s =S(B s ->ψφ/ψf 0 (980) LHCb 12 =-0.002±0.083±0.027 D 0 -> K+K-/π+π-: q/p D = 0.91 ± 0.17, φ D =(-10.2±9.2 ) o 37

38 I. Status of CP in B, D, K & τ transitions I.1 Data on CP Asymmetries in B, D & τ Decays indirect CP [ΔB/C=2 dynamics]: sin 2φ 1 = S(B d -> ψk S ) HFAG = ± sinφ s =S(B s ->ψφ/ψf 0 (980) LHCb 12 =-0.002±0.083±0.027 D 0 -> K+K-/π+π-: q/p D = 0.91 ± 0.17, φ D =(-10.2±9.2 ) o direct CP [ΔB=1 dynamics]: A CP (B d -> K+π-) PDG 10 = ± A CP (B d -> K+π-) LHCb 11 = ± ± A CP (B s -> K+π-) CDF = 0.38 ± 0.15 ± 0.08 A CP (B s -> K+π-) LHCb 11 = 0.27 ± 0.08 ±

39 direct CP [ΔB = 1 dynamics]: A CP (B + -> D [CP+] K+) PDG 11 = 0.24 ± 0.06 A CP (B + -> D [CP+] K+) LHCb 12 = ± ±

40 direct CP [ΔB = 1 dynamics]: A CP (B + -> D [CP+] K+) PDG 11 = 0.24 ± 0.06 A CP (B + -> D [CP+] K+) LHCb 12 = ± ± 0.01 A CP (B + -> ρ 0 K+) = ± 0.10 A CP (B + -> η K+) = 0.37 ±

41 direct CP [ΔB = 1 dynamics]: A CP (B + -> D [CP+] K+) PDG 11 = 0.24 ± 0.06 A CP (B + -> D [CP+] K+) LHCb 12 = ± ± 0.01 A CP (B + -> ρ 0 K+) = ± 0.10 A CP (B + -> η K+) = 0.37 ± 0.09 direct CP [ΔC = 1 dynamics]: ΔA CP = A CP (D 0 -> K+K-) - A CP (D 0 ->π+π-) ΔA CP LHCb 12 = ± 0.21 ± 0.11 % ΔA CP CDF 12 = ± 0.21 ± 0.10 % 41

42 direct CP [ΔB = 1 dynamics]: A CP (B + -> D [CP+] K+) PDG 11 = 0.24 ± 0.06 A CP (B + -> D [CP+] K+) LHCb 12 = ± ± 0.01 A CP (B + -> ρ 0 K+) = ± 0.10 A CP (B + -> η K+) = 0.37 ± 0.09 direct CP [ΔC = 1 dynamics]: ΔA CP = A CP (D 0 -> K+K-) - A CP (D 0 ->π+π-) ΔA CP LHCb 12 = ± 0.21 ± 0.11 % ΔA CP CDF 12 = ± 0.21 ± 0.10 % direct CP in leptonic dynamics A CP (τ + -> ν K S π+) SM = (0.36 ± 0.01) % A CP (τ + -> ν K S π+) BaBar 12 = ( ± 0.23 ± 0.11)% 42

43 I.2 Present Lessons CP has been established in K & B transitions; 43

44 I.2 Present Lessons CP has been established in K & B transitions; evidence for CP in D & τ decays; 44

45 I.2 Present Lessons CP has been established in K & B transitions; evidence for CP in D & τ decays; CKM dynamics produce the leading source of CP in B d,u and K transitions - 45

46 I.2 Present Lessons CP has been established in K & B transitions; evidence for CP in D & τ decays; CKM dynamics produce the leading source of CP in B d,u and K transitions - yet are insignificant for the observed matter vs. antimatter asymmetry; 46

47 I.2 Present Lessons CP has been established in K & B transitions; evidence for CP in D & τ decays; CKM dynamics produce the leading source of CP in B d,u and K transitions - yet are insignificant for the observed matter vs. antimatter asymmetry; SM cannot produce the observed neutrino oscillations with θ 12, θ 23, θ

48 I.2 Present Lessons CP has been established in K & B transitions; evidence for CP in D & τ decays; CKM dynamics produce the leading source of CP in B d,u and K transitions - yet are insignificant for the observed matter vs. antimatter asymmetry; SM cannot produce the observed neutrino oscillations with θ 12, θ 23, θ 13 0 never mind other theoretical challenges of SM 48

49 II. Parameterization of CKM Matrix through O(λ 6 ) II.1 General Comments on Probing CP Asymmetries indirect CP: establish in 2 transitions & find in 3 rd back-up one direct CP: find & establish it in many channels as possible existence of ND & 49

50 II. Parameterization of CKM Matrix through O(λ 6 ) II.1 General Comments on Probing CP Asymmetries indirect CP: establish in 2 transitions & find in 3 rd back-up one direct CP: find & establish it in many channels as possible existence of ND & find out its shape or nature 50

51 indir. & direct CPV established in 2-body final states for B d ; need precision! 51

52 indir. & direct CPV established in 2-body final states for B d ; need precision! indir. & direct CPV unclear in 2-body final states for B s ; need precision 52

53 indir. & direct CPV established in 2-body final states for B d ; need precision! indir. & direct CPV unclear in 2-body final states for B s ; need precision! No evidence for indir. CPV in 2-body final states in D decays 53

54 indir. & direct CPV established in 2-body final states for B d ; need precision! indir. & direct CPV unclear in 2-body final states for B s ; need precision! No evidence for indir. CPV in 2-body final states in D decays however sizable CPV is possible in D 0 -> φk S, K+K-, π+π-, K S π+π-, K+π- 54

55 indir. & direct CPV established in 2-body final states for B d ; need precision! indir. & direct CPV unclear in 2-body final states for B s ; need precision! No evidence for indir. CPV in 2-body final states in D decays however sizable CPV is possible in D 0 -> φk S, K+K-, π+π-, K S π+π-, K+π- Evidence for dir. CPV in D 0 -> K+K-, π+π- need precision 55

56 indir. & direct CPV established in 2-body final states for B d ; need precision! indir. & direct CPV unclear in 2-body final states for B s ; need precision! No evidence for indir. CPV in 2-body final states in D decays however sizable CPV is possible in D 0 -> φk S, K+K-, π+π-, K S π+π-, K+π- Evidence for dir. CPV in D 0 -> K+K-, π+π- need precision! Evidence for dir. CPV in τ + -> ν K S π+ need precision 56

57 indir. & direct CPV established in 2-body final states for B d ; need precision & probe 3- & 4-body FS! indir. & direct CPV unclear in 2-body final states for B s ; need precision & probe 3- & 4-body FS! No evidence for indir. CPV in 2-body final states in D decays however sizable CPV is possible in D 0 -> φk S, K+K-, π+π-, K S π+π-, K+π- Evidence for dir. CPV in D 0 -> K+K-, π+π- need precision & probe 3- & 4-body FS! Evidence for dir. CPV in τ + -> ν K S π+ need precision & probe 3- & 4-body FS! 57

58 indir. & direct CPV established in 2-body final states for B d ; need precision & probe 3- & 4-body FS! indir. & direct CPV unclear in 2-body final states for B s ; need precision & probe 3- & 4-body FS! No evidence for indir. CPV in 2-body final states in D decays however sizable CPV is possible in D 0 -> φk S, K+K-, π+π-, K S π+π-, K+π- Evidence for dir. CPV in D 0 -> K+K-, π+π- need precision & probe 3- & 4-body FS! Evidence for dir. CPV in τ + -> ν K S π+ need precision & probe 3- & 4-body FS! accuracy! 58

59 indir. & direct CPV established in 2-body final states for B d ; need precision & probe 3- & 4-body FS! indir. & direct CPV unclear in 2-body final states for B s ; need precision & probe 3- & 4-body FS! No evidence for indir. CPV in 2-body final states in D decays however sizable CPV is possible in D 0 -> φk S, K+K-, π+π-, K S π+π-, K+π- Evidence for dir. CPV in D 0 -> K+K-, π+π- need precision & probe 3- & 4-body FS! Evidence for dir. CPV in τ + -> ν K S π+ need precision & probe 3- & 4-body FS! accuracy on different CKM levels & correlations! 59

60 indir. & direct CPV established in 2-body final states for B d ; need precision & probe 3- & 4-body FS! indir. & direct CPV unclear in 2-body final states for B s ; need precision & probe 3- & 4-body FS! No evidence for indir. CPV in 2-body final states in D decays however sizable CPV is possible in D 0 -> φk S, K+K-, π+π-, K S π+π-, K+π- Evidence for dir. CPV in D 0 -> K+K-, π+π- need precision & probe 3- & 4-body FS! Evidence for dir. CPV in τ + -> ν K S π+ need precision & probe 3- & 4-body FS! accuracy on different CKM levels & correlations! 60

61 direct CP asymmetries in 2- & 3-body final states: the driving dynamics have to come from weak forces 61

62 direct CP asymmetries in 2- & 3-body final states: the driving dynamics have to come from weak forces yet one needs different strong phases from FSI due to QCD as a necessary condition 62

63 direct CP asymmetries in 2- & 3-body final states: the driving dynamics have to come from weak forces yet one needs different strong phases from FSI due to QCD as a necessary condition direct CP asymmetries in 4-body final states: again the driving dynamics has to come from weak forces 63

64 direct CP asymmetries in 2- & 3-body final states: the driving dynamics have to come from weak forces yet one needs different strong phases from FSI due to QCD as a necessary condition direct CP asymmetries in 4-body final states: again the driving dynamics has to come from weak forces different strong phases from FSI are not necessary condition yet are likely to affect T odd correlations 64

65 II.2 CKM Matrix through O(λ 3,4 ) Commonly applied Wolfenstein parameterization of the CKM Matrix through O(λ 3,4 ): 1-λ 2 /2 λ Aλ 3 (ρ-iη) - λ 1-λ 2 /2-iηA 2 λ 4 Aλ 2 (1+iηλ 2 ) Aλ 3 (1-ρ-iη) -Aλ

66 II.2 CKM Matrix through O(λ 3,4 ) Commonly applied Wolfenstein parameterization of the CKM Matrix through O(λ 3,4 ): 1-λ 2 /2 λ Aλ 3 (ρ-iη) - λ 1-λ 2 /2-iηA 2 λ 4 Aλ 2 (1+iηλ 2 ) Aλ 3 (1-ρ-iη) -Aλ 2 1 large CPV in S(B d ->ψk S )=2(1-ρ)η/[(1-ρ) 2 +η 2 ] ~ 0.68 with A 0.81, η 0.34, ρ 0.13 `maximal 100% CP possible in principle 66

67 II.2 CKM Matrix through O(λ 3,4 ) Commonly applied Wolfenstein parameterization of the CKM Matrix through O(λ 3,4 ): 1-λ 2 /2 λ Aλ 3 (ρ-iη) - λ 1-λ 2 /2-iηA 2 λ 4 Aλ 2 (1+iηλ 2 ) Aλ 3 (1-ρ-iη) -Aλ 2 1 large CPV in S(B d ->ψk S )=2(1-ρ)η/[(1-ρ) 2 +η 2 ] ~ 0.68 with A 0.81, η 0.34, ρ 0.13 `maximal 100% CP possible in principle very small CP in K L transitions 67

68 II.2 CKM Matrix through O(λ 3,4 ) Commonly applied Wolfenstein parameterization of the CKM Matrix through O(λ 3,4 ): 1-λ 2 /2 λ Aλ 3 (ρ-iη) - λ 1-λ 2 /2-iηA 2 λ 4 Aλ 2 (1+iηλ 2 ) Aλ 3 (1-ρ-iη) -Aλ 2 1 large CPV in S(B d ->ψk S )=2(1-ρ)η/[(1-ρ) 2 +η 2 ] ~ 0.68 with A 0.81, η 0.34, ρ 0.13 `maximal 100% CP possible in principle very small CP in K L transitions direct CP of O(0.001) in SCS D 0 -> K+K-, π+π- 68

69 II.2 CKM Matrix through O(λ 3,4 ) Commonly applied Wolfenstein parameterization of the CKM Matrix through O(λ 3,4 ): 1-λ 2 /2 λ Aλ 3 (ρ-iη) - λ 1-λ 2 /2-iηA 2 λ 4 Aλ 2 (1+iηλ 2 ) Aλ 3 (1-ρ-iη) -Aλ 2 1 large CPV in S(B d ->ψk S )=2(1-ρ)η/[(1-ρ) 2 +η 2 ] ~ 0.68 with A 0.81, η 0.34, ρ 0.13 `maximal 100% CP possible in principle very small CP in K L transitions direct CP of O(0.001) in SCS D 0 -> K+K-, π+π- reduced CP in S(B s ->ψϕ) = O(λ 2 ) ~

70 II.2 CKM Matrix through O(λ 3,4 ) Commonly applied Wolfenstein parameterization of the CKM Matrix through O(λ 3,4 ): λ, A, ρ, η 1-λ 2 /2 λ Aλ 3 (ρ-iη) - λ 1-λ 2 /2-iηA 2 λ 4 Aλ 2 (1+iηλ 2 ) Aλ 3 (1-ρ-iη) -Aλ 2 1 large CPV in S(B d ->ψk S )=2(1-ρ)η/[(1-ρ) 2 +η 2 ] ~ 0.68 with A 0.81, η 0.34, ρ 0.13 `maximal 100% CP possible in principle very small CP in K L transitions direct CP of O(0.001) in SCS D 0 -> K+K-, π+π- reduced CP in S(B s -> ψφ) = O(λ 2 ) ~ based on V(ub)/V(cb) ~ O(λ) 70

71 II.2 CKM Matrix through O(λ 6 ) However η 0.34, ρ 0.13 << O(1) PDG: V(ub)/V(cb) ~ <

72 II.2 CKM Matrix through O(λ 6 ) However η 0.34, ρ 0.13 << O(1) PDG: V(ub)/V(cb) ~ < need parameterization through higher order! 72

73 II.2 CKM Matrix through O(λ 6 ) However η 0.34, ρ 0.13 << O(1) PDG: V(ub)/V(cb) ~ < need parameterization through higher order! Have been done 2011 with `global fit λ 0.225, f ~ 0.75, h ~ 1.35, δ QM ~ 90 o 73

74 II.2 CKM Matrix through O(λ 6 ) However η 0.34, ρ 0.13 << O(1) PDG: V(ub)/V(cb) ~ < need parameterization through higher order! Have been done 2011 with `global fit λ 0.225, f ~ 0.75, h ~ 1.35, δ QM ~ 90 o Pattern is not so obvious as before, but not very different in qualitative ways, 74

75 II.2 CKM Matrix through O(λ 6 ) However η 0.34, ρ 0.13 << O(1) PDG: V(ub)/V(cb) ~ < need parameterization through higher order! Have been done 2011 with `global fit λ 0.225, f ~ 0.75, h ~ 1.35, δ QM ~ 90 o Pattern is not so obvious as before, but not very different in qualitative ways, needs more accuracy & 75

76 II.2 CKM Matrix through O(λ 6 ) However η 0.34, ρ 0.13 << O(1) PDG: V(ub)/V(cb) ~ < need parameterization through higher order! Have been done 2011 with `global fit λ 0.225, f ~ 0.75, h ~ 1.35, δ QM ~ 90 o Pattern is not so obvious as before, but not very different in qualitative ways, needs more accuracy & deeper insights in flavour dynamics & QCD impacts! 76

77 S(B d ->ψk S ) ~ 0.69 for `maximal δ QM = 90 o maximal S(B d ->ψk S ) ~ 0.74 for δ QM = o S(B s -> ψφ) = O(λ 2 ) ~ lessons: CKM could produce CP in B d ->ψk S up to 0.74 at most S(Bd->ψKS) ~ 0.66 ± 0.03 does not establish that CKM truly generates that value of CP ND could `hide there. CP asymmetries are most sensitive for theoretical uncertainties do not treat them like statistical errors! 77

78 III. Theoretical Tools for Treating Final States Interactions -- `Nabis Project the goal is to find ND -- its existence & its (their?) nature(s) & shape(s)! When the presence of ND has established, you want to find its features CPV ~ S x P or V x A etc. etc. 78

79 III. Theoretical Tools for Treating Final States Interactions -- `Nabis Project the goal is to find ND -- its existence & its (their?) nature(s) & shape(s)! When the presence of ND has established, you want to find its features CPV ~ S x P or V x A etc. etc. it is QCD that controls FSI; 79

80 III. Theoretical Tools for Treating Final States Interactions -- `Nabis Project the goal is to find ND -- its existence & its (their?) nature(s) & shape(s)! When the presence of ND has established, you want to find its features CPV ~ S x P or V x A etc. etc. it is QCD that controls FSI; have to probe correlations of CP in K, D & B decays 80

81 III. Theoretical Tools for Treating Final States Interactions -- `Nabis Project the goal is to find ND -- its existence & its (their?) nature(s) & shape(s)! When the presence of ND has established, you want to find its features CPV ~ S x P or V x A etc. etc. it is QCD that controls FSI; have to probe correlations of CP in K, D & B decays there are lots of experiences from 81

82 III. Theoretical Tools for Treating Final States Interactions -- `Nabis Project the goal is to find ND -- its existence & its (their?) nature(s) & shape(s)! When the presence of ND has established, you want to find its features CPV ~ S x P or V x A etc. etc. it is QCD that controls FSI; have to probe correlations of CP in K, D & B decays there are lots of experiences from Hadronic Dynamics/MEP 82

83 III. Theoretical Tools for Treating Final States Interactions -- `Nabis Project the goal is to find ND -- its existence & its (their?) nature(s) & shape(s)! When the presence of ND has established, you want to find its features CPV ~ S x P or V x A etc. etc. it is QCD that controls FSI; have to probe correlations of CP in K, D & B decays there are lots of experiences from Hadronic Dynamics/MEP need collab. Hadronic Dynamics/MEP & HEP! 83

84 III. Theoretical Tools for Treating Final States Interactions -- `Nabis Project the goal is to find ND -- its existence & its (their?) nature(s) & shape(s)! When the presence of ND has established, you want to find its features CPV ~ S x P or V x A etc. etc. it is QCD that controls FSI; have to probe correlations of CP in K, D & B decays there are lots of experiences from Hadronic Dynamics/MEP need collab. Hadronic Dynamics/MEP & HEP! 84

85 the goal is to find ND 85

86 the goal is to find ND like a criminal case where you did not see two witnesses at the crime: 86

87 the goal is to find ND like a criminal case where you did not see two witnesses at the crime: No golden test of flavour dynamics -- you have to rely on a series of several arguments with correlations! 87

88 III.1 `Catholic Road to ND A Catholic Scenario for B/D PPP: single path to heaven - asymmetries in the Dalitz plot can rely on relative rather than absolute CP asym much less dependent on production asym. need lots of statistics robust pattern recognition `Miranda procedure pattern recognition learnt from astronomers Bediaga et al.:`significance [N(i) N(i)]/[N(i)+N(i)] 1/2 88

89 Formalism of Dalitz plots 89

90 Formalism of Dalitz plots DP depend on T(3P) 2 vs. T(3P) 2, weak & strong phases Analyze the topologies of Dalitz plots 90

91 Formalism of Dalitz plots DP depend on T(3P) 2 vs. T(3P) 2, weak & strong phases Analyze the topologies of Dalitz plots like an analysis without theoretical input for an immediate process: significance s(i) =[N(i) N(i)]/[N(i)+N(i)] 1/2 91

92 Formalism of Dalitz plots DP depend on T(3P) 2 vs. T(3P) 2, weak & strong phases Analyze the topologies of Dalitz plots like an analysis without theoretical input for an immediate process: significance s(i) =[N(i) N(i)]/[N(i)+N(i)] 1/2 most CP asymmetries in the DP are independent of production asymmetries! 92

93 Formalism of Dalitz plots DP depend on T(3P) 2 vs. T(3P) 2, weak & strong phases Analyze the topologies of Dalitz plots like an analysis without theoretical input for an immediate process: significance s(i) =[N(i) N(i)]/[N(i)+N(i)] 1/2 most CP asymmetries in the DP are independent of production asymmetries! need FSI with differences in strong phases challenges for theorists loss of job opportunity? 93

94 challenges for theorists loss of job opportunity? 94

95 challenges for theorists loss of job opportunity? Strengths of `Miranda Procedure to find CP asymmetries & to `localize in Dalitz plot loss of job opportunity for theorists in basic dynamics? 95

96 challenges for theorists loss of job opportunity? Strengths of `Miranda Procedure to find CP asymmetries & to `localize in Dalitz plot loss of job opportunity for theorists in basic dynamics? No! 96

97 challenges for theorists loss of job opportunity? Strengths of `Miranda Procedure to find CP asymmetries & to `localize in Dalitz plot loss of job opportunity for theorists in basic dynamics? No! to understand all the lessons from data on CPV one needs to use sophisticated theoretical tools job opportunity for theorists! 97

98 challenges for theorists loss of job opportunity? Strengths of `Miranda Procedure to find CP asymmetries & to `localize in Dalitz plot loss of job opportunity for theorists in basic dynamics? No! to understand all the lessons from data on CPV one needs to use sophisticated theoretical tools job opportunity for theorists! Experience exists in HD/MEP, but one needs to work -- for theorists work = enjoyment 98

99 about recent history: Strengths of `Miranda Procedure to find CP asymmetries & to `localize in Dalitz plot due to interferences 99

100 about recent history: Strengths of `Miranda Procedure to find CP asymmetries & to `localize in Dalitz plot due to interferences pattern recognition learnt from astronomers `significance s(i) = [N(i) N(i)]/[N(i) + N(i)] 1/2 100

101 about recent history: Strengths of `Miranda Procedure to find CP asymmetries & to `localize in Dalitz plot due to interferences pattern recognition learnt from astronomers `significance s(i) = [N(i) N(i)]/[N(i) + N(i)] 1/2 S[canning]T[unneling]M[icroscope] based on quantum tunneling to create resolution previously thought impossible o to probe surfaces due to interferences & o generate new materials 101

102 about recent history: Strengths of `Miranda Procedure to find CP asymmetries & to `localize in Dalitz plot due to interferences pattern recognition learnt from astronomers `significance s(i) = [N(i) N(i)]/[N(i) + N(i)] 1/2 S[canning]T[unneling]M[icroscope] based on quantum tunneling to create resolution previously thought impossible o to probe surfaces due to interferences & o generate new materials Miranda Procedure o to probe CPV in 2-dim. topology & o produce new theories 102

103 III.2 `Protestant Road to ND B, D -> h 1 h 2 h 3 h 4 : T odd moments like <p 1 (p 2 x p 3 )> 103

104 III.2 `Protestant Road to ND B, D -> h 1 h 2 h 3 h 4 : T odd moments like <p 1 (p 2 x p 3 )> with CP symmetry FSI can generate non-zero T odd moments that are of equal magnitudes, yet of opposite signs for B [D] & B [D] CP violation generates different magnitudes! 104

105 III.2 `Protestant Road to ND B, D -> h 1 h 2 h 3 h 4 : T odd moments like <p 1 (p 2 x p 3 )> with CP symmetry FSI can generate non-zero T odd moments that are of equal magnitudes, yet of opposite signs for B [D] & B [D] CP violation generates different magnitudes! i.e., more works more correlations! 105

106 III.2 `Protestant Road to ND B, D -> h 1 h 2 h 3 h 4 : T odd moments like <p 1 (p 2 x p 3 )> with CP symmetry FSI can generate non-zero T odd moments that are of equal magnitudes, yet of opposite signs for B [D] & B [D] CP violation generates different magnitudes! i.e., more works more correlations but also more premiums for the successful ones for existence & features of ND! 106

107 III.3 Theoretical Tools for Treating Final States Interactions `Nabis Project theoretical guidance: B/D PPP chiral dynamics & FSI are not strengths of LQCD use great experience from Hadron Physics/MEP about chiral dynam. & FSI use for profit! working group of theorists & experimentalists needed to deal with CPV in Dalitz studies & probe features of ND 107

108 `Nabis = North American Brain Injury Society? 108

109 `Nabis = North American Brain Injury Society? No! 109

110 `Nabis = North American Brain Injury Society? No! `Les Nabis = `The Prophets! `topology of CPV in Dalitz plots: 3 sources with quasi-2-body final states (resonances) with interference between quasi-2-body final states contributions from true 3-body FS or broad resonances like σ. 110

111 One example: D/B d π + π - π 0 D/B d ρ 0 π 0, ρ +/- π -/+, f 0 (980)π 0, σπ 0 V+P, V+P, S+P, S+P BW, BW, ~ BW, not BW! BW = Breit-Wigner experience of HP/MEP most useful! i.e.: understand quantitatively impact of FSI on CP asymm. with dispersion relations in three-body final states a lot of work for theorists in HP/MEP use also symmetry constraints (isospin, SU(3) flav, CPT etc.) remember the prize (not price ) 111

112 One example: B. Kubis, arxiv: applied to η, ω, ϕ -> 3 π 112

113 One example: B. Kubis, arxiv: applied to η, ω, ϕ -> 3 π data driving with subtraction constants 113

114 One example: B. Kubis, arxiv: data driving with subtraction constants with input from theoretical constraints like Kπ & ππ scattering in Kππ final states in DP applied to η, ω, ϕ -> 3 π 114

115 Start of `Nabis collaboration 115

116 Start of `Nabis collaboration members (so far): Hanhart, Kubis, Meissner, Mannel, ibi 116

117 Start of `Nabis collaboration members (so far): Hanhart, Kubis, Meissner, Mannel, ibi HD/MEP HEP 117

118 Start of `Nabis collaboration members (so far): Hanhart, Kubis, Meissner, Mannel, ibi HD/MEP HEP Hanhart, Mannel had organized Summer School in 2010 near Bonn 118

119 Start of `Nabis collaboration members (so far): Hanhart, Kubis, Meissner, Mannel, ibi HD/MEP HEP Hanhart, Mannel had organized Summer School in 2010 near Bonn Jefferson Lab? 119

120 IV. Summary of Indirect Searching for ND Existence of ND established neutrino oscillations with θ 12, θ 23, θ 13 0! huge antimatter/matter <<<< 1 never mind theoretical reasoning 120

121 IV. Summary of Indirect Searching for ND Existence of ND established neutrino oscillations with θ 12, θ 23, θ 13 0! huge antimatter/matter <<<< 1 never mind theoretical reasoning hardly any information about ND s features dark matter?? dark energy????? most features of ND affect flavour dynamics! 121

122 IV. Summary of Indirect Searching for ND Existence of ND established neutrino oscillations with θ 12, θ 23, θ 13 0! huge antimatter/matter <<<< 1 never mind theoretical reasoning hardly any information about ND s features dark matter?? dark energy????? most features of ND affect flavour dynamics! Remember ~ 468 AD, i.e. ~ 1500 years ago: Only being good is one thing but good doing it is the other one! 122

123 Need detailed analyses of 3- & 4-body final states, including CPV despite the large start-up work! We need real collaboration between theorists from HD/MEP & HEP 123

124 Need detailed analyses of 3- & 4-body final states, including CPV despite the large start-up work! We need real collaboration between theorists from HD/MEP & HEP Remember finding the Devil on a fresco in the Basilica San Francesco in Assisi in Italy painted in the 14 th century took till now! 124

125 125

126 126

127 127

128 Achilles Aias 128

129 Achilles = ATLAS Aias 129

130 Achilles = ATLAS Aias = CMS 130

131 Odysseus = need force & lots of cunning of exp. & th. Achilles = ATLAS Aias = CMS 131

132 Odysseus = need force & lots of cunning of exp. & th. LHCb! Achilles = ATLAS Aias = CMS 132

133 Afterthought: In WW I Great Britain lost many ships due to German submarines. 133

134 Afterthought: In WW I Great Britain lost many ships due to German submarines. Then an artist came up with amazing idea: paint fighting & transporting ship with the dazzle pattern for `hiding camouflage 134

135 Afterthought: In WW I Great Britain lost many ships due to German submarines. Then an artist came up with amazing idea: paint fighting & transporting ship with the dazzle pattern for `hiding camouflage the German skipper could not see through periscope how large the ship is, where it goes & which direction 135

136 Afterthought: In WW I Great Britain lost many ships due to German submarines. Then an artist came up with amazing idea: paint fighting & transporting ship with the dazzle pattern for `hiding camouflage the German skipper could not see through periscope how large the ship is, where it goes & which direction 136

137 137

138 Great Britain has produced many crazy, but wonderful ideas/objects/traditions (like crickets with 5 days test games) 138

139 Great Britain has produced many crazy, but wonderful ideas/objects/traditions (like crickets with 5 days test games) but the leaders of the Royal Navy has (sometimes) shown judgment: In the 1920 s they produced a report about the losses with ships with & without dazzle camouflage : it said the data show little difference, 139

140 Great Britain has produced many crazy, but wonderful ideas/objects/traditions (like crickets with 5 days test games) but the leaders of the Royal Navy has (sometimes) shown judgment: In the 1920 s they produced a report about the losses with ships with & without dazzle camouflage : it said the data show little difference, yet concluded that Royal Navy should continue, since it costs little money & raises the moral of the sailors. 140

141 Great Britain has produced many crazy, but wonderful ideas/objects/traditions (like crickets with 5 days test games) but the leaders of the Royal Navy has (sometimes) shown judgment: In the 1920 s they produced a report about the losses with ships with & without dazzle camouflage : it said the data show little difference, yet concluded that Royal Navy should continue, since it costs little money & raises the moral of the sailors. The analogy: Analyzing Dalitz plots costs little hardware efforts, 141

142 Great Britain has produced many crazy, but wonderful ideas/objects/traditions (like crickets with 5 days test games) but the leaders of the Royal Navy has (sometimes) shown judgment: In the 1920 s they produced a report about the losses with ships with & without dazzle camouflage : it said the data show little difference, yet concluded that Royal Navy should continue, since it costs little money & raises the moral of the sailors. 142

143 The analogy: New Dynamics is hidden in the large ships of SM Analyzing Dalitz plots costs little hardware efforts, raises the moral of theorists in basic physics 143

144 The analogy: New Dynamics is hidden in the large ships of SM Analyzing Dalitz plots costs little hardware efforts, raises the moral of theorists in basic physics we will find New Dynamics behind dazzle camouflage! 144