Chargino Contributions in Cp Asymmetries

NEW PHYSICS PHASE FROM CHARGINO YILI WANG IOWA STATE UNIVERITY SUPER B FACTORY WORKSHOP IN HAWAII JANUARY 19-22,2004 CP Asymmetry in B system. New Phase From Chargino. Numerical Results. Summary and Conclusion. Y. Wang, hep-ph/0309290, to be published in PRD. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 2 CP Asymmetries in B System In Standard Model: VudVusVub / 2 V V V /2

cd cs cb V V V A (1 i ) A2 td ts tb A ( i ) 2 A A single phase in CKM matrix All of CP asymmetries in B system Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 3 CKM matrix is unitary VudVub* VcdVcb* VtdVtb* 0 Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 4 Definition: AK S t

B 0 t K S B 0 t K S B 0 t K S B 0 t K S CK S cos M Bd t SK S sin M Bd t sin 2 Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 5 2 CK S K S 1 2 K S 1 ,

SK S 2 Im qp K S 2 K S 1 K S A B 0 K S A B K S B p B 0 q B 0 p and q are mixing parameters. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 6 Two CP Violation Sources: (a)

q p 1 Mixing (b) A A 1 Decay amplitude Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 7 B J KS In Standard model Vcb J/ B0 KS

V*td J/ Vtb B0 B0 Vtb V* td KS [email protected] Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 8 CP comes from mixing in B J KS SM prediction: sin 2 0.731 0.056 Belle :

sin 2 ( B J BaBar : sin 2 B J K S ) 0.733 0.057 0.028 K S 0.741 0.67 0.033 Average 0.736 0.049 very good agreement with SM. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 9 CP Asymmetries in B K S In SM, No tree level diagrams. B K Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 10 Decay Amplitude:

K S A K S VtbVts* * 1 AK S VtbVts CP comes from mixing. sin 2 B K S sin 2 B Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 J KS 11 B K S Measurement: BaBar : sin 2 B K S 0.45 0.43 0.07 Belle : 09 sin 2 ( B K S ) 0.96 0.50 00..11 Average 0.15 0.33 ~2 deviation with SM prediction.

Need new physics. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 12 B J KS SM dominate tree level diagrams. New physics enter only at one loop level. B K S Both SM and New physics are at one loop. Possible new physics change only SK S SUSY is significant candidate. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 13 New Phase From Chargino SUSY in B K S CP Asymmetry 1. Gluino loop 2. Chargino loop 3. Neutralino loop. Neutralino loop can be ignored. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

14 H 6 C O i i C g Og i 1 O1 O2 Box O3 O4 O5 O6 Penguin Og s P c c P b s P c c P b s P b s P s s P b s P s s P b s P s s P b s P s

g m s T P b G L L ignored L L

L L L L L R

s 8 2 L b R a a R Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 15 Focus on chargino loop contributions Special Frame: Down-type squark mass matrix diagonalized. No down-type intergeneration mixing. no gluino loop contributions. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004

16 Chargino diagrams: Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 17 Up squark mass matrix: ~2 m U ~2 m Lu 0 0 0 0 0 0 2 ~ m 0 2

~ m 0 0 0 0 0 0 Lc Lct ~ *2 m ~2 m 0 0 mt cot Lct Lt ~2 0 0 0 m 0 Ru 2 2 ~ m

~ 0 0 0 m Rc Rct *2 2 ~ ~ 0 mt cot 0 mRct mRt Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 18 diagonalized mass matrix: Ru~ ~ 2 R~ diag m ~2 , m ~2 , m ~2 , m ~2 , m ~2 , m ~2 Ru~ m u u L1 L2 L3

R1 R2 R3 Define: qL ai Ru~ ai Mass eigenstates: qR ai Ru~ a i 3 a 1, ,6 Gauge eigenstates: i u, c, t Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 19

Chargino Mass Matrix: M2 2 M W sin ~ M 2 M cos W ~ T ~ , m ~ UM V diag m cos U sin U U sin U cos U 1 2 cos V sin V

V sin V cos V Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 20 Mixing angle: sin 2U ,V 2 2 2 2 2 2 1 cos 2U ,V 2M W M M cos 2 2 M 2 sin 2 ~2 m ~2

m 1 2 2 M 22 2 2M W2 cos 2 ~2 m ~2 m 1 2 Yili Wang - Super B Factory in Hawaii - 22 Jan. 2004 21 Wilson coefficients: C SUSY 3 w2

jkb ~ 2 Gu*Liks H u*Riks GuihsL H uihsR Gu*Ljhs H u*Rjhs Gujkb H u L R 4 m i ,h , j ,k j G xm~uk ,m~ j , xm~uh ,m~ j , xm~ i ,m~ j s w * jks * jks * jkb * jkb G H G H C1 xm~u ,m~

u u u u 2 ~ L R L R k j 6 m j 2 w1 * jks * jks * jkb * jkb G H G H uL uR uL uR ~2 9m j j ,k

j ,k C x 1 C4SUSY j ,k ~ ,m ~ m uk j C x 2 ~ ,m ~ m uk j

s w * jks * jks * jkb * jkb G H G H C1 xm~uk ,m~ j u u u u 2 ~ L R L R 2 m j Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 22

C SUSY 5 w2 jkb ~ 2 Gu*Liks H u*Riks H uihsL H u*Ljhs Gujkb H u L R i , h , j , k 2m j xm~ i ,m~ j G1 xm~uk ,m~ j , xm~uh ,m~ j , xm~ i ,m~ j s~ 2w Gu*Ljks H u*Rjks Gu*Ljkb H u*Rjkb C1 xm~u ,m~ k j

j , k 6 m j C x 1 C6SUSY j ,k 2 w1 * jks * jks * jkb * jkb G H G H u u u u ~2 L R L R 9m j

j ,k ~ ,m ~ m uk j C x 2 ~ ,m ~ m uk j s w * jks * jks * jkb * jkb G

H G H ~ ,m ~ uL uR uL u R C1 xm 2 ~ uk j 2m j Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 23 C gSUSY w * jks * jks * jkb * jkb G H

G H ~ ,m ~ uL uR uL u R D1 xm 2 ~ uk j j , k 2 m j ~ m 1 * jks j ~ 2 Gu L H u*Rjks H u*Rjkb D2 xm~u ,m~ k j mb j , k 2 m j with difinition : xm~uk ,m~ j

~2 m u ~ 2k m j GujkiL V j*1 u L VCKM ki , H ujkiR V j*2 u R VCKM Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 ki Mu 2 M W sin 24 Hadronic matrix:

K S O3, 4 Bd0 1 1 H 1 4 NC K S O5 Bd0 1 H 4 K S O6 Bd0 1 1 H 4 NC 0 d K S Og B

s N C2 1 H 2 2 N C2 Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 25 Numerical Results: Three Scenario: 1. Left-Left Mixing Dominant. 2. Right-Right Mixing Dominant. 3. Left-Left plus Right-Right Mixing. hep-ph/0309290, to be published in PRD Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 26 1. Left-Left Mixing: Left-Right and Right-Right mixings are ignored . Ru~ sin 23e iL cos 23 sin 23

cos 23e iL New Phase One phase and one mixing angles Parameter space: ~ , m ~ , m ~ , m ~ , tan , , m L L 23 L 2 3 2 1 Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 27 Constraints: Bd Bd mixing Bd J K S asymmetry B X S Severe bound on mixing

Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 28 0.7 SK S 0.7 ~ (GeV ) m L3 ~ (GeV ) m 1 ~ 10 m ~ , (a ) m 2 1 tan ~ 5, m L2 5TeV ~ (GeV ) m 1 ~ 100 m

~ (b) m 2 1 23 4 Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 , L 0.01 29 Large deviation from SM prediction. large chargino influences. special property on ~ ~ and m ~ ~ m m m L3 1 L2 2

Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 30 ~ m L3 ~ (GeV ) m 1 L 0.005 23 4 ~ (GeV ) m 1 L 23 0.01 6 Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 ~ (GeV ) m 1

L 23 0.01 4 31 3. Left-Left + Right-Right Mixing Too many parameters. Assumption : m ~ ~ m L R 2 2 ~ ~ m m L3 R3 ~

m 2 ~ m 3 23 56 L R Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 32 Parameter space: ~ , m ~, m ~ , m ~ , tan , , m 2 3 2 1 Constraints: ~ m 3 ~ m 1

~ m 2 ~ m 2 10 2 Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 33 0.7 SK S 0.7 ~ (GeV ) m L3 ~ (GeV ) m 1 (a) m~ 2 10 m~ 1 , tan ~ 5, m L2 ~ (GeV ) m

1 (b) m~ 2 50 m~ 1 5TeV 23 Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 , L 0.01 4 34 Scan Region: ~ 300GeV m 2500GeV R2 ~ 250GeV m 1000GeV R3 ~ 150GeV m 1000GeV 2 ~ 100GeV m 500GeV 1 ~ m R2

0 2 0 2 ~ and m ~ m R3 2 ~ m 1 Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 35 SK ~ (GeV ) m 2 tan 15 Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 ~ (GeV ) m 2 tan 50

36 Conclusion Chargino loop did give large contribution to B K S CP asymmetry. It can compensate the 2.7 deviation in some region. Results depend on parameter choice. In general, gluino loop provide large contribution. SUSY contributions include chargino and gluino loop. Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 37 Left-Left mixing : Within constraints, large SUSY chargino contribution to CP asymmetry in B K S SK S var ies with 23 , L and tan Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 38 39 2. Right-Right Mixing Mixing matrix: Ru~ cos 56 sin

56 sin 56e iR cos 56e iR Parameter space: ~ , m ~ , m ~ , m ~ , tan , , m L2 L3 2 1 56 R 2 10 Constraints: R 40 tan 5 ~ m 300GeV

R3 23 , L 0.01 4 ~ 10m ~ (a ) 1.1, m 2 1 ~ 100m ~ (b) 1.1, m 2 1 41 ~ (GeV ) m 2 tan 15 Yili Wang - Super B Factory in Hawaii - 21 Jan. 2004 ~ (GeV ) m 2 tan 50 42 43 Parameters:

tan 5 ~ 5TeV m 2 , 4 1.1, 0.01 44 45 Loop function: G A, B, C z 2 dz 0 z 1 z A z B z C A2 log A A 1 A B A C B 2 log B B 1 B A B C C 2 log C

C 1 C A C B Yili Wang - Super B Factory in Hawaii - 22 Jan. 2004 46 H 2 . pB f m F m 2 2 2 m 9 O 2 1.1 8 mB Many assumptions in estimation. Yili Wang - Super B Factory in Hawaii - 22 Jan. 2004 47

Recently Viewed Presentations

  • First Day: MIS 420

    First Day: MIS 420

    [what is big data?]: "Every day, we create 2.5 quintillion bytes of data — so much that 90% of the data in the world today has been created in the last two years alone."- IBM. From the beginning of recorded...
  • Inventory Inventory Subcommittee Mark Rasmussen, Leopold Center, Animal

    Inventory Inventory Subcommittee Mark Rasmussen, Leopold Center, Animal

    Inventory Subcommittee Role: Compile an inventory of existing CALS efforts in research, teaching and extension with links to sustainability. The inventory can provide a baseline to understand where the college stands currently and help identify areas of mutual support and...
  • Lynmouth

    Lynmouth

    Prevention Following the Lynmouth flood disaster, flood management plans were put in place to try and ensure such a disaster could not happen again by managing any excess rain water so that the River could handle it in the in...
  • Christ The King Presentation October 21 2009

    Christ The King Presentation October 21 2009

    Christ the King, St. Teresa SARC We are aware that the option on the land needs to be exercised by the end of this month. We implore you to follow-up with that and consider the possibility of the new build...
  • 2019 Popcorn Kickoff Impact of Popcorn  $1,083,702 million

    2019 Popcorn Kickoff Impact of Popcorn $1,083,702 million

    Nick . Kick off. Tasting . Kit. Scout Tasting Session. The purpose of a tasting session is to have each boy try 1 or 2 kernels of each flavor. Once everyone has tasted each flavor, have the boys vote on...
  • Principles of Evolution - Mass Instruction

    Principles of Evolution - Mass Instruction

    Principles of Evolution Chapter 10 ... forelimb of tetrapod vertebrates Evidence for Evolution - Anatomy Vestigial structures are remnants of organs or structures that had a use in an earlier ancestor, but do not anymore Ostrich wings Snake leg bones...
  • IIS7 Extensibility (Part 1): Building Core Server Modules

    IIS7 Extensibility (Part 1): Building Core Server Modules

    Michael Volodarsky COM406 Program Manager Microsoft Corporation IIS7 Server Total platform extensibility Customize the server Build and deploy custom server components Leverage powerful modular server architecture Robust native (C++) server features Powerful managed (.NET) server features IIS6 Architecture IIS7 Architecture...
  • Navy Anesthesiology Update 2008 are needed QuickTime TIFF

    Navy Anesthesiology Update 2008 are needed QuickTime TIFF

    Minimum number of graduates needed to meet annual operational medical officer (GMO+FS+UMO) requirements 2008 Fellowship Gains 10 Fellows 2 CT- NNMC/NMCSD 3/4 PEDS 5 Pain Current Operational 50% of anesthesiologists on active duty have deployed since OCT 1 2001 Few...