Standard Model: Flavor mixing and CP violation

Transcription

1 Sanar Mol: Flavor mixing an violaion Flavor Mixing an iolaion. CM Marix. Mixing o nural mon 3. violaion 4. Priion Suy o mon a C. CM Marix wak igna u u CM marix u ma igna Uniariy CM CM u u J Charg urrn: µ u,, γ µ W u,, γ µ - γ 5 CM - γ 5 wak ma/ lavor J. Pawlowki / U. Uwr

2 Sanar Mol: Flavor mixing an violaion. Paramr o CM marix Numr o innn aramr: 8 aramr 9 omlx lmn -5 rlaiv uark ha unorval -9 uniariy oniion 4 innn aramr: 3 angl ha PDG aramrizaion 3 Eulr angl θ, θ Pha 3 θ3, δ ' ' ' i i 3 33 iδ 3 33 ij δ δ 3 ij 3 iδ whr oθ, inθ ij ij iδ iδ iδ 3 3 Magniu o lmn ' ' ' u C u u u komlx in O 3 Wolnin Paramrizaion,, ρ, η,. u u 3 ρ iη CM O 3 ρ iη iβ iγ 4 Rl hirarhy o lmn in O J. Pawlowki / U. Uwr

3 Sanar Mol: Flavor mixing an violaion. Mixing o nural mon Th uark mixing rul ino vral inring loo : Sanar Mol ri oillaion o nural mon u,,, W u,, W u,, u,, Nural mon: P : D u P : iovry o mixing 96 D u Mixing hnomnology Conir im nn Shröingr. or omonn wav union : i i Γ Γ i m m i M Γ i i m Γ Γ m Diriv & aoriv h marix i no iagonal an ar no ma igna in a a in whih o aril roaga in im. Ḋiagonalizing o in h ma igna wihm Γ, omlx oiin wihm Γ, Fr aril wav union,, im Γ,,, m m m Γ Γ Γ J. Pawlowki / U. Uwr 3

4 Sanar Mol: Flavor mixing an violaion 4 J. Pawlowki / U. Uwr Tim vlomn o an ψ [ ] / / im im Γ Γ ± ± ψ P P P P Tim vlomn o h lavor igna givn y h linar ominaion / wih Oillaion runy [ ] m P P Γ Γ Γ Γ o 4 / [ ] [ ] m P m P Γ Γ Γ Γ Γ Γ Γ Γ o 4 o 4 / / T - violaion in mixing: P P

5 Sanar Mol: Flavor mixing an violaion. Sanar Mol riion or mixing Mixing mhanim: Mixing hrough ay: long ian, on-hll a π π larg Γ For mon hr ar many oil haroni ay Γi larg in aiion ay lik ππ ar ur y Γ Γ or i mall O. or on' x mixing via ay Mixing hrough oillaion u,,, u,, larg m u,, u,, Sanar Mol rul Signiian onriuion only rom o loo m ~ m ~ m 6 O m ~ m ~ m 4 O arg m, : m ~/ m o. i aou 35 im ar han o. J. Pawlowki / U. Uwr 5

6 Sanar Mol: Flavor mixing an violaion.3 Diovry o mixing Fir - aory a DESY: a.58 G : Υ4S σ n RGUS 987 l Υ 4 ν l l ν l Unmix: l l Mix: l l D µ ν µ D π S l l Sam harg π D µ ν µ D π γγ π π Exrimnal Sau o mon mixing,,8,6,4, or Γ Γ P Γ o m Γ P Γ o m Γ Γ unmix mix unmix mix, P P P P,5 -,5 π m - -, τ m.56 ±.6 ± τ - J. Pawlowki / U. Uwr 6

7 Sanar Mol: Flavor mixing an violaion 5σ Mung Orvaion: Sring 6 [] m 7.77 ±.a. ±.7y. CDF Collaoraion, Smr 6-6 τ 35 im ar han 3. iolaion τ π ν τ π τ ν τ P ντ orin τ π C C π τ ν τ P τ ν τ π orin allow C an P viola in wak ay onrv in wak inraion? No! J. Pawlowki / U. Uwr 7

8 Sanar Mol: Flavor mixing an violaion 3. Diovry o iolaion in aon Day Orvaion o wo nural kaon long an S hor wih irn liim: τ 5.7 ±.4 n >> τ.89± 3π S S π. n Inrraion: ngling oil violaion S " " " " Pha onvnion: arg irn wn liim m.533±.9 h 3.49±.6 M Γ.8 9 h I no : Chrinon, Cronin, Fih, Turlay, 964 houl alway ay ino 3π: 3π> - an nvr ino π π> Exlanaion: ε ε π π R ~ 3 No a igna: violaion! J. Pawlowki / U. Uwr 8

9 Sanar Mol: Flavor mixing an violaion r 35 yar o kaon hyi: ε ε ε ππ Dir ππ mixing 999 π ππ ε.84 ±.4 3 R ε ε.67 ±.6 3 τ / Th maur violaion in h kaon ym i mall horial inrraion i ui iiul! In h mon ym ar muh largr, air o unran an hy an alula in h Sanar Mol. in h ym wa orv in. 3. iolaion in Sanar Mol: omlx CM lmn i ji u j R i ji R u j u j ji i T violaion ji ji T i.. Comlx lmn Rmark: For uark gnraion h mixing i ri y h ral x Caio marix no violaion!!. To xlain in h SM oayahi an Makawa hav ri a hir uark gnraion. Morovr, a an hown, ruir ha all u-y an all - y uark hav irn ma. J. Pawlowki / U. Uwr 9

10 Sanar Mol: Flavor mixing an violaion Uniariy Triangl Uniary CM marix: 6 riangl rlaion in omlx lan: u u u u u u u u γ α ara J/ u u u u β Imoran or an ay Srngh o harariz y Jarlkog invarian araj In SM: 6 Im ij kl il 5 O ~ J Im[ ] η u u Im R Ral riangl only in a o violaion: Ti / riangl ara in amoun/rngh o! kj Ral uniariy oniion u u η Im γ α u u ρ β u iβ u R u iγ α arg u u β arg γ arg u u J. Pawlowki / U. Uwr

11 Sanar Mol: Flavor mixing an violaion 3.3 Orvaion o iolaion Pha maurmn Inrrn xrimn iφ iδ o φ δ Wak an invarian ha irn iφ iδ o φ δ N wo ha irn wn an : Wak irn whih hang ign unr an anohr ha irn rong whih i unhang. 3 Way o violaion in mon ay a Dir violaion wak rong ϕ δ iϕ iδ P P violaion in mixing / P / P J. Pawlowki / U. Uwr

12 Sanar Mol: Flavor mixing an violaion violaion hrough inrrn o mix an unmix amliu Γ Γ ymmri moula y ~ in m Cominaion o h 3 way ar oil! a a Dir violaion ym π g iφ iδ Srong ha irn ymmri 4 inϕ inδ J. Pawlowki / U. Uwr

13 Sanar Mol: Flavor mixing an violaion 7 Mio N / ± m π 66 ± 5 π π N N π N π N π π.33 ±.3 ±.9 4.σ m π [G/ ] PR T violaion in mixing T violaion P P Ski. J. Pawlowki / U. Uwr 3

14 Sanar Mol: Flavor mixing an violaion violaion in inrrn wn mixing an ay J / ψ J / ψ J / ψ η - J / ψ iπ ~ i β iπ iπ ~ i β iπ J / ψ J / ψ SM riion o or J/ψ η mixing / iβ ~ ay W iβ mixing / Sam or all hannl i all ohr CM lmn ar ral iβ Im inβ no ir, no in mixing J. Pawlowki / U. Uwr 4

15 Sanar Mol: Flavor mixing an violaion Calulaion o h im-nn aymmry Γ Γ / τ / τ Im Im in m o m in m o m Tim rolv Γ Γ o Γ Γ Im S C [ S in m C m ] Inrrn inβ or J/ψ S inia ir violaion i / ngligil To maur violaion in ym: N many vral 9 N o know h lavor o h a N o ronru h ay lngh o maur J. Pawlowki / U. Uwr 5

16 Sanar Mol: Flavor mixing an violaion 3.4 Maurmn o inβ: ymmri - aory E CMS.58 G 5% / 5% Symmri: Y4S ronan ay nirly o air 5.3 G 5.3 G mon ay a r ay lngh z ymmri: 9G oo β.56 3.G z βγ ay lngh z 5µm Maurmn o inβ: Goln ay hannl ψ ag D π - a D π o - π ψs µ µ - π π - J. Pawlowki / U. Uwr 6

17 Sanar Mol: Flavor mixing an violaion Maurmn o inβ: Goln ay hannl ψ PR 94, Mio ag D π - a D π o - π ψs µ µ - π π - inβ in m in β.7 ±.4 ± Exrimnal au o h Uniariy Triangl Sanar Mol CM mhanim onirm. arg iolaion in ay. arg ir violaion orv 3. aramr rla o magniu o non- orval J. Pawlowki / U. Uwr 7

18 Sanar Mol: Flavor mixing an violaion 4. Priion uy o mon a C C hr ar aou air rou r yar uy o vry rar ay ranhing raio ~ -9 oil. u W W D µ µ µ µ iolaion in J/ψφ Mixing ha φ -β iolaion in D CM angl γ r FCNC nguin µ µ µ µ angular iriuion FCNC µ µ ranhing raio Nw aril an aar a virual aril in h loo orrion an an la o aiional uanum orrion whih moiy h orval. J. Pawlowki / U. Uwr 8