SUSY effects in B-decays

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1 A. Dedes, Jan 2006 p.1 SUSY effects in B-decays YETI 06 Athanasios Dedes IPPP, University of Durham

2 A. Dedes, Jan 2006 p.2 Outline Classification of B-decays Supersymmetric effects An example Conclusions

3 A. Dedes, Jan 2006 p.3 Classification of B-decays There are three types of B-decays a B-decays originate at tree level B-decays originate at tree level but polluted by loop contributions (penguins) B-decays originate only at loop level a PDG Conventions: B = bd, B s = bs, B + = bu, D 0 =ūc, K + = su, K = sd, π =(ūu, dd),φ= ss, J/Ψ = cc

4 A. Dedes, Jan 2006 p.4 B-decays Trees (CC): b dcū, du c b scū, su c b ūν l, cν l

5 A. Dedes, Jan 2006 p.4 B-decays LHCb tree example : B + K + D0, B + K + D 0

6 A. Dedes, Jan 2006 p.4 B-decays Trees(CC) + Penguins(NC): b duū, dc c b suū, sc c

7 A. Dedes, Jan 2006 p.4 B-decays B-factories Tree+Penguin example : B π + π

8 A. Dedes, Jan 2006 p.4 B-decays Pure Penguins (NC): b dd d, ds s b sd d, ss s b dl l, dν ν b sl l, sν ν Exclusive Penguins : B l l, ν ν

9 A. Dedes, Jan 2006 p.4 B-decays B-factories pure Penguin example 1: B φk

10 A. Dedes, Jan 2006 p.4 B-decays LHCb, B-factories pure Penguin example 2: B Kl l, Kν ν

11 A. Dedes, Jan 2006 p.4 B-decays B-factories pure Penguin example 3: B Kγ

12 A. Dedes, Jan 2006 p.4 B-decays Tevatron, LHC, B-factories pure Exclusive Penguin example 4: B l l

13 A. Dedes, Jan 2006 p.5 SUSY effects Summary of SUSY effects in B-decays: Tree level flavour changing processes if allow for lepton number violation

14 A. Dedes, Jan 2006 p.5 SUSY effects Summary of SUSY effects in B-decays: Tree level flavour changing processes if allow for lepton number violation quark and squark mass matrices cannot in general be simultaneously diagonal: this results in flavour changing squark mixings (δm2 b d/m 2 q ).

15 A. Dedes, Jan 2006 p.5 SUSY effects Summary of SUSY effects in B-decays: Tree level flavour changing processes if allow for lepton number violation quark and squark mass matrices cannot in general be simultaneously diagonal: this results in flavour changing squark mixings (δm2 b d/m 2 q ). penguins compete with SUSY penguins (penguinos?)

16 A. Dedes, Jan 2006 p.5 SUSY effects Summary of SUSY effects in B-decays: Tree level flavour changing processes if allow for lepton number violation quark and squark mass matrices cannot in general be simultaneously diagonal: this results in flavour changing squark mixings (δm2 b d/m 2 q ). penguins compete with SUSY penguins (penguinos?) Higgs penguins are important they are enhanced by tan 2 β

17 A. Dedes, Jan 2006 p.6 SUSY effects Recipe: In a specific SM process : 1. Add the effects of one extra Higgs doublet

18 A. Dedes, Jan 2006 p.6 SUSY effects Recipe: In a specific SM process : 1. Add the effects of one extra Higgs doublet 2. Supersymmetrise

19 A. Dedes, Jan 2006 p.6 SUSY effects Recipe: In a specific SM process : 1. Add the effects of one extra Higgs doublet 2. Supersymmetrise 3. Allow for intergenerational squark mass mixing

20 A. Dedes, Jan 2006 p.6 SUSY effects Recipe: In a specific SM process : 1. Add the effects of one extra Higgs doublet 2. Supersymmetrise 3. Allow for intergenerational squark mass mixing 4. Allow for lepton number violation

21 A. Dedes, Jan 2006 p.7 SUSY effects Example 1: Super Trees (CC)

22 A. Dedes, Jan 2006 p.7 SUSY effects Example 1: Super Trees (CC) 1. Add the effects of one extra Higgs doublet

23 A. Dedes, Jan 2006 p.7 SUSY effects Example 1: Super Trees (CC) 2. Supersymmetrise

24 A. Dedes, Jan 2006 p.7 SUSY effects Example 1: Super Trees (CC) 3. Allow for intergenerational squark mass mixing

25 A. Dedes, Jan 2006 p.7 SUSY effects Example 1: Super Trees (CC) 4. Allow for lepton number violation ( ) ( ) ( ) H 0 d H0 H, d νl d H d e L, ( νl ẽ L )

26 A. Dedes, Jan 2006 p.7 SUSY effects Example 1: Super Trees (CC) g w g w m f { tan β cot β λ

27 A. Dedes, Jan 2006 p.8 SUSY effects Example 2: Super Trees (NC)

28 A. Dedes, Jan 2006 p.8 SUSY effects Example 2: Super Trees (NC) 1. Add the effects of one extra Higgs doublet

29 A. Dedes, Jan 2006 p.8 SUSY effects Example 2: Super Trees (NC) 2. Supersymmetrise

30 A. Dedes, Jan 2006 p.8 SUSY effects Example 2: Super Trees (NC) 3. Allow for intergenerational squark mass mixing

31 A. Dedes, Jan 2006 p.8 SUSY effects Example 2: Super Trees (NC) 4. Allow for lepton number violation ( ) ( ) ( ) H 0 d H0 H, d νl d H d e L, ( νl ẽ L )

32 A. Dedes, Jan 2006 p.8 SUSY effects Example 2: Super Trees (NC) 0 0 λ

33 A. Dedes, Jan 2006 p.9 SUSY effects Example 3: Penguins (NC)

34 A. Dedes, Jan 2006 p.9 SUSY effects Example 3: Penguins (NC) 1. Add the effects of one extra Higgs doublet

35 A. Dedes, Jan 2006 p.9 SUSY effects Example 3: Penguins (NC) 2. Supersymmetrise

36 A. Dedes, Jan 2006 p.9 SUSY effects Example 3: Penguins (NC) 3. Allow for intergenerational squark mass mixing

37 A. Dedes, Jan 2006 p.9 SUSY effects Example 3: Penguins (NC) 4. Allow for lepton number violation ( ) ( ) ( ) H 0 d H0 H, d νl d H d e L, ( νl ẽ L )

38 A. Dedes, Jan 2006 p.9 SUSY effects Example 3: Penguins (NC) γ,z,g : 1 tan β tan β h, H, A : 1 tan β tan 2 β δm 2 b d m 2 SUSY δm 2 b d m 2 SUSY tan β tan 2 β

39 A. Dedes, Jan 2006 p.10 An example The decay B s µ + µ.

40 A. Dedes, Jan 2006 p.10 An example The decay B s µ + µ. There is an exp bound from CDF+D0 : B(B s µ + µ ) < at 95% C.L

41 A. Dedes, Jan 2006 p.10 An example The decay B s µ + µ. There is an exp bound from CDF+D0 : B(B s µ + µ ) < at 95% C.L The Standard Model predicts : B(B s µ + µ )=(3.7 ± 1.2) 10 9

42 A. Dedes, Jan 2006 p.10 An example The decay B s µ + µ. There is an exp bound from CDF+D0 : B(B s µ + µ ) < at 95% C.L The Standard Model predicts : B(B s µ + µ )=(3.7 ± 1.2) 10 9 Q: What are the SUSY effects?

43 A. Dedes, Jan 2006 p.11 An example Amplitude tan 3 β/m 2 A

44 A. Dedes, Jan 2006 p.11 An example Amplitude tan 3 β/m 2 A SUSY loop fairly insensitive to heavy spectrum

45 A. Dedes, Jan 2006 p.12 An example A.D, H. Dreiner, U. Nierste, P. Richardson, hep-ph/ Solid : B(B s µ + µ )

46 A. Dedes, Jan 2006 p.12 An example A.D, H. Dreiner, U. Nierste, P. Richardson, hep-ph/ Solid : B(B s µ + µ ) dashed: (g-2) in units

47 A. Dedes, Jan 2006 p.12 An example A.D, H. Dreiner, U. Nierste, P. Richardson, hep-ph/ Solid : B(B s µ + µ ) dashed: (g-2) in units dotted: light Higgs mass prediction

48 A. Dedes, Jan 2006 p.12 An example A.D, H. Dreiner, U. Nierste, P. Richardson, hep-ph/ Solid : B(B s µ + µ ) dashed: (g-2) in units dotted: light Higgs mass prediction filled areas : trilepton searches at Tevatron

49 A. Dedes, Jan 2006 p.13 An example A.D, T. Huffman, hep-ph/

50 A. Dedes, Jan 2006 p.14 Conclusions Searching for B-decays is important for SUSY :

51 A. Dedes, Jan 2006 p.14 Conclusions Searching for B-decays is important for SUSY : SUSY effects trigger new decays

52 A. Dedes, Jan 2006 p.14 Conclusions Searching for B-decays is important for SUSY : SUSY effects trigger new decays SUSY effects originate at the squark (unknown) sector

53 A. Dedes, Jan 2006 p.14 Conclusions Searching for B-decays is important for SUSY : SUSY effects trigger new decays SUSY effects originate at the squark (unknown) sector SUSY effects originate when you allow for Lepton number violation

54 A. Dedes, Jan 2006 p.14 Conclusions Searching for B-decays is important for SUSY : SUSY effects trigger new decays SUSY effects originate at the squark (unknown) sector SUSY effects originate when you allow for Lepton number violation if no effects appear in B-decays there must be an organizing principle behind this fact: Heavy superpartners? Degeneracy of squarks? Alignment?

55 A. Dedes, Jan 2006 p.15 References 1. SUSY effects : SLAC report for Super-B factory, hep-ph/ General flavour physics : A. Buras, Higgs penguin : hep-ph/ Effective Theories, P. Ball, YETI Exp status for B s µ + µ, M. Schmitt YETI 06

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