D 0 -D 0 mixing and CP violation in charm
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1 - ixig a P violaio i char lexe Perov ae Sae Uiveri Table of oe: Iroucio Experieal corai Theoreical expecaio ocluio a oulook Bae o work wih. woo S. Berga.. alk Y. Groa Z. Ligei Y. Nir lexe Perov (ae Sae Uiv. TEP Uica- Jue 6
2 Iroucio: wh o we care? B-ixig: Q: ol a oe loop i he Saar Moel GIM echai: rae eiive o ulra-heav paricle i he loop Expecaio: rae i large i B e lexe Perov (ae Sae Uiv. TEP Uica- Jue 6
3 lexe Perov (ae Sae Uiv. TEP Uica- Jue 6 Iroucio: wh o we care? -ixig: Q: ol a oe loop i he Saar Moel GIM echai: eiive o ulra-heav paricle i he loop rae ( ( ( ( b a a ( b Tie-epeece: couple Schroiger equaio ( ( ( q p i M i q p ± iagoalize: a eigeae flavor eigeae M M x
4 Iroucio: wh o we care? B-ixig: probe aic of he iereiae up-pe quark GIM echai: rae eiive o ulra-heav paricle i he loop -ixig: he ol probe of ow-pe quark aic GIM echai: o ulra-heav quark i he loop b-quark coribuio V ub b ca be eglece rae f ( f ( (SU(3 lii ver eiive o log-iace Q a c ~ GeV lea probe of New Phic? lexe Perov (ae Sae Uiv. TEP Uica- Jue 6
5 ow woul ew phic affec ixig? - a arix: Local operaor poible New Phic! M i ij ( δ ij i j i I I iε I I j eal iereiae ae affec boh x a Saar Moel x >> x. : igal for New Phic? : Saar Moel?. P violaio i ixig/eca ih b-quark coribuio eglece: ol geeraio coribue real x abibbo arix lexe Perov (ae Sae Uiv. TEP Uica- Jue 6
6 lexe Perov (ae Sae Uiv. TEP Uica- Jue 6 Experieal corai [ ] ( ( ( 4 'i 'co ( x x e φ φ ( ( i co P x φ φ τ τ. Tie-epee aali ( p q e i φ. Lifeie ifferece aali 3. Seilepoic aali x rae ' ' : x x if Picure coure of S. McGee Quaraic i x: o o eiive
7 New experieal corai (τ-char facor. Tie-epee aale are har: ie-inepee aali? Seilepoic: quaraic i x: o o eiive wae: liear i x or. τchar facor: (quau-echaicall eagle iiial ae L L ( k ( k ( ( k ( k agular oeu P quau uber o oe ca eaure he rae for P-agge eca L σ Br ( Xl ν which iplie for [ ψ [ ψ L L ( [ P ] σ ( Xl ν ] ( [ P ] ( X ] σ coφ ( L σ L σ L σ. woo..p. lexe Perov (ae Sae Uiv. TEP Uica- Jue 6
8 Experieal corai Several group have eaure P Experie OUS ( E79( LEO ( Belle ( BaBar ( Value (3.4±.39±.74% (.8±.9±.% (-.±.5±.4%.7.8 (-.5±. %.6.7 (.4±. % orl average: (.±.7% G. az ha are he expecaio for x a? lexe Perov (ae Sae Uiv. TEP Uica- Jue 6
9 Theoreical eiae Theoreical preicio are all over he boar a ~ % be covicigl accooae? I i poible o have >> x? oe i ill ea ha ~ x? lexe Perov (ae Sae Uiv. TEP Uica- Jue 6
10 lexe Perov (ae Sae Uiv. TEP Uica- Jue 6 Theoreical eiae I c i quie large!!!. Shor iace give a i coribuio coier a a exaple Τ a ca be ee for he raighforwar copuaio ( [ ( ( ' u c c c N N N M B B N N N X N N. 4 ec B N N c u c u µ µ 4 ukow arix elee wih iilar for x (ru e!
11 Theoreical eiae I. Shor iace ubleaig correcio (i / c expaio: x ( 6 ( 6 ( c ( 4 4 c ubleaig effec? µ ha c µ ha Λ 6 Λ 6 4 ukow arix elee x ( ( x ( 9 ( 9 β α α S 3 3 Λ Λ 3 3 ( µ Λ S ( µ Λ 5 ukow arix elee Georgi Bigi Uralev Twe-oehig ukow arix elee Leaig coribuio!!! Gueiae: x ~ ~ -3? lexe Perov (ae Sae Uiv. TEP Uica- Jue 6
12 eue: oel-iepee copuaio wih oel-epee reul lexe Perov (ae Sae Uiv. TEP Uica- Jue 6
13 Theoreical eiae II B. Log iace igh give a large reul? Le ee c i NOT large!!! ρ [ ] wih beig all ae o which a ca eca. oier iereiae ae a a exaple Br co ( Br ( δ Br ( Br ( cacellaio expece! If ever Br i kow up o O(% he reul i expece o be O(%! The reul here i a erie of large uber wih aleraig ig SU(3 force x? Exreel har ee o rerucure he calculaio lexe Perov (ae Sae Uiv. TEP Uica- Jue 6
14 eue: oel-epee copuaio wih oel-epee reul lexe Perov (ae Sae Uiv. TEP Uica- Jue 6
15 Queio:. a a oel-iepee aee be ae for x or? ha i he orer of SU(3 breakig? i.e. if x wha i?. a oe clai ha ~ % i aural? lexe Perov (ae Sae Uiv. TEP Uica- Jue 6
16 Theoreical expecaio which orer i SU(3 breakig oe he effec occur? Group heor? i a igle wih i ha belog o 3 of SU(3 (oe ligh quark The par of i ij ( q c ( q q i. e i j k k O 5 ( ( u ( u c ( ( c ( u ( u c ( ( c ( u ( u c ( ( c ( u ( u c ( O 6 ( ( u ( u c ( ( c ( u ( u c ( ( c ( u ( u c ( ( c ( u ( u c ( i Irouce SU(3 breakig via he quark a operaor M iag ( u ij i ll ozero arix elee buil of M u be SU(3 igle lexe Perov (ae Sae Uiv. TEP Uica- Jue 6 i k j j
17 Theoreical expecaio oe ha i j i eric belog o 6 of SU(3 Explicil 6 O O 6 4. No 6 i he ecopoiio of o SU(3 igle ca be fore O 5 ' ixig i prohibie b SU(3 er. oier a igle ierio of M i j 6M rafor a ill o SU(3 igle ca be fore NO ixig a fir orer i SU(3 breakig 3. oier ouble ierio of M MM : 6 (8 8 (6 4 (4 5 ixig occur ol a he eco orer i SU(3 breakig S Y.G. Z.L. a..p. lexe Perov (ae Sae Uiv. TEP Uica- Jue 6
18 Theoreical expecaio oe i alwa work? SU(3 breakig u eer perurbaivel i SU ( 3 δ i ow couer-exaple:. Ver arrow ligh quark reoace wih ~ x ~ g ~ g δ Mo probabl o exi ee E.Golowich a..p.. Par of he uliple i kieaicall forbie Exaple: boh 4 a 4 are fro he ae uliple bu he laer i kieaicall forbie ee.. Y.G. Z.L. a..p. lexe Perov (ae Sae Uiv. TEP Uica- Jue 6
19 Theoreical expecaio Two ajor ource of SU(3 breakig. phae pace η... a. arix elee (abolue value f f... b. arix elee (phae aka SI I ( ( Take io accou ol he fir ource lexe Perov (ae Sae Uiv. TEP Uica- Jue 6
20 lexe Perov (ae Sae Uiv. TEP Uica- Jue 6 SU(3 a phae pace epackage he aali: look a he coplee uliple coribuio ( ( Br ~ Each i i SU(3 for each SU(3 uliple oe i help? If ol phae pace i ake io accou: o (il oel epeece ( ρ ρ ρ a coiel copue if P i coerve
21 lexe Perov (ae Sae Uiv. TEP Uica- Jue 6 Exaple: PP iereiae ae PP rafor a ake 8 a a exaple: ( S ( ( ( ( ( ( ( ( ( ( ] η η η η η N Nueraor: eoiaor: ( ( ( ( 6 8 O η phae pace fucio Thi give a calculable effec!. epea for oher ae. Mulipl b Br r o ge N
22 eul Prouc i aurall O(% No (er-eforce cacellaio oe NOT occur for x aurall iplie ha ~% a x <! lexe Perov (ae Sae Uiv. TEP Uica- Jue 6
23 ocluio x i he SU(3 lii (a V ub i ver all i i a eco orer effec i i quie poible ha ~ % wih x< if rue earch for New Phic i coplicae expec ew aa fro BaBar/Belle/LEO/LEOc/(? currel: x ( ±.8 ±.5% ( ±.9 ± 3.6% (allowig NP P-violaio i ixig i a okig gu igal for New Phic lexe Perov (ae Sae Uiv. TEP Uica- Jue 6
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