CP-violation from Non-Unitary Leptonic Mixing

HTML
DOWNLOAD

Μέγεθος: px

Εμφάνιση ξεκινά από τη σελίδα:

Download "CP-violation from Non-Unitary Leptonic Mixing"

Ευσέβιος Λιάπης
6 χρόνια πριν
Προβολές:

1 CP-volaton from Non-Untary Lptonc Mxng Jacobo Lópz Pavón IFT UAM/CSIC XLIIIrd Rncontrs d MORIOND Elctrowak Ssson La Thul, March 1-8, 008 S. Antusch, C. Bggo, E. Frnándz-Martínz and M.B. Gavla JHEP 0610:084,006 E. Fdz-Martnz, M.B. Gavla and O. Yasuda Phys.Ltt.B 649:47-435,007

2 Motvatons Nutrno masss and mxng vdnc of Physcs Byond th SM Typcal xplanatons nvolv Nw Physcs at hghr nrgs Ths NP oftn nducs dvatons from untarty of th PMNS at low nrgy W wll analyz th prsnt constrants on th mxng matrx wthout assumng untarty Study of CP volaton n th contxt of non-untarty

3 Usual Analyss 1 g g L = ( α / α αmαββ hc..) ( Wlαγ PLα hc..) ( Zαγ PLα hc..)... cosθ W l α CC W - α NC Z Dagonalzng α α L 1 g ( ) g ( = ) / m Wlαγ PU L α Zγ PL hc..... cosθ W U α = U Th mxng matrx s untary n th usual analyss wth 3 lght α

4 Th gnral da W - gγ PU L α l α cc sc s U= s c s s c c c s s s s c ss csc sc css cc δ δ δ δ δ α β 1 W - l α gγ PN L α N N N N N N N N N N 1 3 =

5 Effctv Lagrangan allowng non-untarty L 3 lght Assum NP at Λ >> Λ EW. In th flavor bass, 1 c g g = ( α / Kαββ αmαββ hc..) ( W lαγ PLα hc..) ( Zαγ PLα hc..)... cosθ W α = N α L 1 g g = ( / m) ( Wlαγ PLNα) ( Zγ PL( N N) j j) hc..... cosθ W unchangd N non-untary = δ j j

6 Th ffcts of non-untarty appar n th ntractons W - Z l α N α j ( NN) j W can bound untarty wth wak dcays α 1 = N α N α δ β α α β P = L= 0= = αβ β α ( L) ) N N β N α N * α β E N N α m N L * α β N β Zro Dstanc Effct

7 Constrants on Untarty from wak dcays W l α Z nvsbl unvrsalty tsts rar lpton dcays NN 0.994± < < < ± < < < ± % C.L. N s untary at % lvl

8 In th futur γ γ TESTS OF UNITARITY RARE LEPTON DECAYS NN < 10 6 NN < (MEG) (BABAR) γ NN < (Bll)

9 In th futur TESTS OF UNITARITY γ γ γ RARE LEPTON DECAYS NN < 10 NN < NN < (MEG) (BABAR) (Bll) ZERO-DISTANCE NF 4 ( NN ) < ( NN ) < NN <.6 10

10 In th futur TESTS OF UNITARITY γ γ γ RARE LEPTON DECAYS NN < 10 NN < NN < (MEG) (BABAR) (Bll) ZERO-DISTANCE NF 4 ( NN ) < ( NN ) < NN <.6 10

11 In th futur TESTS OF UNITARITY γ γ γ RARE LEPTON DECAYS NN < 10 NN < NN < (MEG) (BABAR) (Bll) ZERO-DISTANCE NF 4 ( NN ) < ( NN ) < NN <.6 10 PHASES phass apparanc xprmnts: NUFACTs, b-bams

12 If w paramtrz Can w masur th phass of N? E. Fdz-Martnz, M.B. Gavla, J. Lópz-Pavón and O.Yasuda hp-ph/ ph/ N = (1 η) U whr U U PMNS η η η * η = η η η * * η η η and η = η If Δ E ml Δ<< 1 SM * ( L = A O ) η η α β αβ αβ P αβ only dpnds on ηαβ

13 Can w masur th phass of N? E. Fdz-Martnz, M.B. Gavla, J. Lópz-Pavón and O.Yasuda hp-ph/ ph/ For nstanc, for two famls: Δ P αβ = sn ( θ)sn 4 η αβ sn( δ αβ )sn( θ)sn Δ 4 η αβ SM CP volatng ntrfrnc Zro dstanc ffct η αβ δ η αβ αβ Nw CP-volaton sgnals Δ =ΔmL E 1 j j

14 Whch s th bst channl???? < η 5 < η 3 < η 3 Δ sn θ sn 4 η snδ sn θ sn 4 η 31 P 3 3 Δ 31 P Ths s th bst channl to masur nw CP phass: P 8 η snδ sn( θ )sn Δ 3 13

15 Th CP phas δ can b probd N N 8 η snδ sn( θ )sn Δ Confuson btwn sgn sgn. Dgnracy δ δ 180º δ Δ 3σ a Nutrno Factory wth L = 130 Km

16 Th CP phas δ can b probd 3σ Prsnt bound from γ Snstvty to η Snstvty to δ For non-trval δ, on ordr of magntud mprovmnt for η

17 Conclusons Analyz nutrno data wthout assumng untarty. W startd th frst analyss and conclud that, at prsnt: -EW dcays confrms untarty at % lvl -Prsnt bounds on untarty ar strong nough to match th untarty analyss CP-asymmtry s a clan prob of th nw phass. Non-untary ffcts n typcal modls ar too small to b dtctd at prsnt xprmnts. Thy could b szabl n xtnsons/othrs modls wth M~ TV, ). -> kp trackng thm n th futur. Thy ar xcllnt sgnals of nw physcs.

18 Back-up slds

19 Constrants on untarty < 3 η < η < η < < 3 < 3 < 3 η < < η η η η η η

20 Lptonc Mxng Matrx Elmnts From Oscllatons N N N N N N N 1 3 = 1 3 N N N 1 3

21 CHOOZ: KamLAND: Δ 13 from KK SNO: P 0.1 N 0.9 N N lmnts from oscllatons: -row ( ) 4 ( ) cos( Δ ) ( ) cos( Δ ) P N N N N N P N N N N N N KamLANDCHOOZKK Δ j = Δm j L E SNO all N dtrmnd

22 Pˆ N lmnts from oscllatons: -row Atmosphrc KK: Δ 1 0 Δ j = Δm j L E 4 N N N N N N ( Δ ) cos 3 1. Dgnracy N N 1 3 N UNITARITY. 1, N N cannot b dsntangld

23 N lmnts from oscllatons only = OSCILLATIONS [ N N 1 N wthout untarty ? 1/ = ? ] < ? 3σ wth untarty OSCILLATIONS U < 0.0 = Gonzálz-García, Malton 07

24 Dcays W - l α ( W l ) Γ α ( NN ) αα ( NN ) ( NN ) l α W - γ Br l l β ( α lβγ ) ( NN ) βα ( NN ) ( NN ) m O MW αα ββ ( NN) j, j Z nvsbl unvrsalty tsts NN NN ( NN ) ( NN ) αα ββ

25 If w paramtrz Can w masur th phass of N? E. Fdz-Martnz, M.B. Gavla, J. Lópz-Pavón and O.Yasuda hp-ph/ ph/ N Normalzaton factors = (1 η) U whr U U PMNS η η η * η = η η η * * η η η and η = η O( η ) Standard ampltud If Δ E ml Δ<< 1 SM Aαα 1 η SM Aαβ αβ << 1 SM * ( L = A O ) η η α β αβ αβ P αβ only dpnds on ηαβ

26 Whch s th bst channl???? Constrants on untarty: η η η < η < η η η < η < η < η < < < < 90% C.L. η << η, η

27 Whch s th bst channl???? P P SM s c η c sn δ δ sn θ Δ η sn θ snδ Δ 4 η Δ =Δ mle<< 1 j j sn θ Δ s supprssd by th small paramtrs Δ 1 and 13 31

28 Our analyss wll also apply to non-standard or xotc nutrno ntractons. (Grossman, Gonzalz-Garca t al., Hubr t al., Ktazawa t al., Davdson t al. Blnnow t al...) Thy add 4-frmon xotc oprators whch affct producton or dtcton or propagaton n mattr Ψ Ψ Ψ Ψ

29 NSI nutrno ntractons vs NonUntarty SM NF: d l u α α d u convntonal-bams supr-bams NF: Mattr ffcts: α=β=

30 NSI nutrno ntractons vs NonUntarty Exotc Intractons Add nw ffctv 4-frmon oprators whch affcts to: Producton Dtcton d αd lα u u Mattr ffcts f f

31 NSI nutrno ntractons vs NonUntarty SM Exotc Intractons Exotc Intractons Non-Untarty

32 NSI nutrno ntractons vs NonUntarty Exotc Intractons Non-Untarty ε p αβ No rlatonshp btwn and ε d βα η αβ = η * βα If ε = ε p d* αβ βα P EXOTIC = P NON UNITARITY Our constrants apply to Exotc Intractons! If not Idm, barrng xtrm fn tund canclatons

33 Oscllaton Probablty n Mattr 1 L = Gnγ P Gn γ P nt 0 0 ff F L F n α L α α V CC V NC d dt = N E 0 0 ( N ) 1 * 1 * E ( NN ) ( NN ) ( VCC VNC )( NN ) VNC ( NN ) ( NN ) ( Vcc VNC ) ( NN ) VNC ( NN ) ( NN ) Effctv Evoluton 1. non-dagonal lmnts. NC ffcts do not dsappar

34 Mattr ffcts n Δ, Δ, AL Kpng only trms to scond ordr n 1 31 and and frst n η (sttng η = 0): αβ sn θ 13 sn θ 10 Δ AL 10 Δ 10 η < ~ αβ

35 Aproxmat xprsson for P Δ31 Δ1 3 sn θ13 3 sn θ1 P c s Δ1 Δ31 c13 sn θ1 sn θ3 sn θ13 cosδ η c sn θ sn δ δ Δ η sn θ snδ Δ 4 η s c ( ; ; η η ) P = P s c c s

36 Analyss of 3σ 3σ Th zro dstanc ffct domnats ovr CP volatng ntrfrnc trm - No nformaton on δ 3 η 10 - Snstvts to around

37 Som dtals about th NF W study a NF bam rsultng from th dcay of 50 GV muons: 10 - Assumng usful dcays/yar - 5 yars runnng wth ach polarty - 5 Kt Opra-lk dtctor -L=130 km snstvts and backgrounds = ( snstvts and backgrounds) hp-ph/

38 (NN ) and (N N) from dcays NN 1.00 ± < < < ± < < < ± % C.L. N = HV NN = H = 1 ε wth ε = ε N N = 1 V ε V = 1 ε ' ε ' j ε αβ αβ N N 1.00 ± 0.03 < 0.03 < 0.03 < ± 0.03 < 0.03 < 0.03 < ± 0.03 N s untary at % lvl

39 Low-nrgy thory..... cos / = h c P Z g h c P l W g h c M K L L W L c α α α α β αβ α β αβ α γ θ γ Aftr EWSB:..... ) ( cos 1 / = h c N N P Z g N P l W g m L j j L W L c γ θ γ α α M αβ dagonalzd untary transformaton K αβ dagonalzd and normalzd untary transf. rscalng N non-untary

40 CHOOZ: systmatc rror hp-x\ SNO: n n CC NC Som numbrs 1 N 0.9 N 0.1 Normalzaton flux ~.7% Enrgy ~ 1.1% w lt t vary % OPERA (NF): background: c-dcays / chargd currnt dcays ~ systmatc rror ~ 5% ffcncy ~ 0% hp-ph\ KK: Statstcs hp-x\ ZERO-DISTANCE EFFECT 40Kt Iron calormtr nar NUFACT 4 ( NN ) < Kt OPERA-lk nar NUFACT 3 ( NN ) <.9 10 NN <

41 (NN ) from dcays: G F W W dcays Z Invsbl Z Unvrsalty tsts ( NN ) αα l α ( NN ) ( NN ) ( N N ) j j j ( NN ) ( NN ) ( NN ) αα ( NN ) ββ Info on (NN ) aa G F s masurd n -dcay W N j 5 Fm Γ = N N 3 19π j N* j G j G F,xp GF = N N j j

42 Oscllaton Probablty n Vacuum d H dt = ^ = E δ = I fr j j j Effctv Evoluton E 0 0 E d * * t = U 0 E α α dt 0( * U) 1 N 0 E 0 N α 0 0 E 0 0 E 3 3 = I P = L= 0= = αβ β α ( L) ) N N β N α N * α β E N N α m N L * α β N β Zro Dstanc Effct

43 Non-untarty from s-saw L = LSM NRdNR -Y L H NR -M NR NR Intgrat out N R L ff = L SM 1 d = 5 1 d = 6 L L MΛ MΛ... T YY/M (L LH H) _ YY/M (L H) d(h L) d=5 oprator t gvs mass to d=6 oprator t rnormalss kntc nrgy Broncano, Gavla, Jnkns 0

44 masss byond th SM Tr-lvl ralzatons N R N R Havy frmon snglt N R dvatons from untarty (Ssaw I) Havy scalar trplt Δ t R t R Y t Y t M t no dvatons from untarty Havy frmon trplt t R dvatons from untarty Abada, Antusch, Bggo, Bonnt, Hamby, M.B.G.

45 addng nar dtctors E, 0 = NN Tst of zro-dstanc ffct: αβ αβ P αβ δ MINOS: (NN ) =1±0.05 BUGEY: (NN ) =1±0.04 NOMAD: (NN ) <0.09 (NN ) <0.013 KARMEN: (NN ) <0.05 N = ? ? < ? also all N dtrmnd

46 Numbr of vnts n v Φ α d ( E) ~ de P αβ ( E, L) σ β ( E) ε ( E) de producd and dtctd n CC dφ dφ ~ de de SM σ β ~ σ β NN ( NN ) αα SM α α ββ n v SM ( NN ) P ( E, L) ( NN ) ( E) ε SM dφα ( E) ~ de αα αβ ββ σ β E de Excptons: masurd flux lptonc producton mchansm dtcton va NC Pˆ αβ ( E, L) = N * α P L N β

47 In th futur γ γ TESTS OF UNITARITY RARE LEPTON DECAYS NN < NN < (MEGA) (BABAR) γ NN < (Bll)

Σχετικά έγγραφα

Homework #6. A circular cylinder of radius R rotates about the long axis with angular velocity

Homework #6. A circular cylinder of radius R rotates about the long axis with angular velocity Homwork #6 1. (Kittl 5.1) Cntrifug. A circular cylindr of radius R rotats about th long axis with angular vlocity ω. Th cylindr contains an idal gas of atoms of mass m at tmpratur. Find an xprssion for