theory perspective LEPP JC, 9 September 2011 Cornell University Flip Tanedo Flip s Beamer Theme 1/17 17

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1 B s µµ theory perspective Cornell University LEPP JC, 9 September / Flip Tanedo pt267@cornell.edu Flip s Beamer Theme 1/17 17

2 Grad Student Joint Meetings PSB 470, 1:30-2pm Monday before the grown up meeting Next joint hep-ex/ph student meeting 10 Oct, Nic Eggert, Status of Higgs Searches (TBC) Next week: Bibhushan Shakya, Deconstructing the 5 th Dimension All LEPP students are welcome, hep-ph students are implored to attend 2 / Flip Tanedo pt267@cornell.edu Flip s Beamer Theme 2/17 17

3 Implications of B s µµ Significance of large tan β in the MSSM Beyond MFV in the MSSM Relation to M s 3 / Flip Tanedo pt267@cornell.edu Flip s Beamer Theme 3/17 17

4 Two Higgs Doublet Models Type II 2HDM: (e.g. MSSM) avoid tree-level FCNC by having H u only talk to u R and H d only talk to d R and e R. But: violated at loop-level by SUSY terms. t R H u A t t L m s 0 y b ɛv u m b s L µ b R ɛ y t V ts /(16π) 2 H u H d Loop-level s L b L mixing: sin θ y bɛv u m b ɛ tan β 4 / Flip Tanedo pt267@cornell.edu Flip s Beamer Theme 4/17 17

5 Enhancement by tan 6 β in SUSY b y d,l m b,l v d 1 cos β µ tan 3 β s sin θ tan β µ Other SUSY diagrams are negligible in the large tan β limit. 5 / Flip Tanedo pt267@cornell.edu Flip s Beamer Theme 5/17 17

6 MFV bound tan β MFV Contours of fixed Br(B s µµ), MFV allowed 1x10-6 3x10-7 1x10-7 3x10-8 1x10-8 hep-ph/ Cannot produce Br(B µµ) m A [GeV] 6 / Flip Tanedo pt267@cornell.edu Flip s Beamer Theme 6/17 17

7 Beyond MFV in the MSSM Parameterize new flavor structure with squark mass insertions H u δ 23 LL b R δ ij LL = ( m2 LL) ij m 2 LL s L g M 3 g b R Also LL RR see, e.g Danger: constraints from B K γ and B φk S, but those carry additional powers of (m LL ) 2. Remark: Renormalization generates δ ij LL O(V ts) 7 / Flip Tanedo pt267@cornell.edu Flip s Beamer Theme 7/17 17

8 Beyond MFV bound tan β Contours of fixed Br(B s µµ), including δ LL General δ LL =0.1 allowed 1x10-6 3x10-7 1x10-7 3x10-8 1x10-8 hep-ph/ Cannot produce Br(B µµ) m A [GeV] 8 / Flip Tanedo pt267@cornell.edu Flip s Beamer Theme 8/17 17

9 Relation to M s MSSM Another observable sensitive to δll 23 is M s in B s B s mixing ( ) 2 M s 3.5 TeV ( M ( s) SM + δ 23 2 LL) m hep-ph/ , hep-ph/ But: M s (new) / M s (SM) 20% large m or small δll. 23 Suppresses B s µµ and tightens tan β bound for given Br(B s µµ). CP observables? B d φk S, Γ s, B s J/ψ φ,... 9 / Flip Tanedo pt267@cornell.edu Flip s Beamer Theme 9/17 17

10 Relation to M s, MFV Minimal Flavor Violation: NP (not necessarily SUSY) carries the same flavor structure as the SM: V CKM. hep-ph/ : Ratios can reduce uncertainties from f Bd,s See also for an alternate approach Br(B s µµ) Br(B d µµ) = (non-perturbative) s τ(b s ) M s (non-perturbative) d τ(b d ) M d (non-pert.) is independent of f B and RG invariant UV model-dependence cancels in the ratio 10 / Flip Tanedo pt267@cornell.edu Flip s Beamer Theme 10/17 17

11 Relation to M s, simple models Alternate approach ( , ) H i g i bγ µ sv µ + g i lγ µ lv µ + M s operators expressed in terms of g i g j B µµ operators expressed in terms of g i g j Relations can reduce (sometimes eliminate) low-energy new physics parameters. Comment: the M Bs bounds are much more stringent than M D, in which one could assume M D came entirely from NP and then predict D µµ. 11 / Flip Tanedo pt267@cornell.edu Flip s Beamer Theme 11/17 17

12 Remarks Photon penguin does not contribute (Ward identity) s-channel scalar does not contribute (0 ) s γ µ b µ 12 / Flip Tanedo pt267@cornell.edu Flip s Beamer Theme 12/17 17

13 Relation to M s, simple models Ex: Flavor-changing Z (e.g. RS models) M (Z ) s = M sfb 2 s B Bs r 1 (m b, M Z ) g Z 2 sb 3 MZ 2 Br(B s µµ) = G F f 2 B s m 2 µm Bs 16 2πΓ Bs 1 4m2 µ MB 2 s g 2 Z sb M 2 Z M2 Z M 2 Z NP parameters completely fixed, end up with ( ) 2 1 TeV Br(B s µµ) MZ 2 Similar story for gauged family symmetry, Br(B s µµ) / Flip Tanedo pt267@cornell.edu Flip s Beamer Theme 13/17 17

14 Relation to M s, simple models Ex: R-parity violating MSSM W R = λlle c + λ LQD c + λ U c D c D c Assume λ = 0 for B conservation, λ, λ R for CP Tree-level contributions from sneutrino exchange (dominated by ν k ) M ( R) s Br(B s µµ) ( R) i λ isdλ ids M 2 ν i λ kµµλ kbs M 2 ν k Sets upper bound on λ iµµ λ ibs in terms of M 2 ν i. If λ ibs = λ isb, then Br(B s µµ) ( R) x ( R) λ 2 kµµ B s M 2 ν k 14 / Flip Tanedo pt267@cornell.edu Flip s Beamer Theme 14/17 17

15 Relation to M s, simple models Ex: Fourth generation , B Bs μ m t' GeV 15 / Flip Tanedo pt267@cornell.edu Flip s Beamer Theme 15/17 17

16 Relation to M s, simple models Ex: Fourth generation , B Bs μ t' Λ bs 16 / Flip Tanedo pt267@cornell.edu Flip s Beamer Theme 16/17 17

17 Thanks That s all I ve got... discuss! pictures of actual penguins in talk Flip Yuhsin number of penguin talks given 17 / Flip Tanedo pt267@cornell.edu Flip s Beamer Theme 17/17 17