Testing supersymmetric neutrino mass models at the LHC

Transcription

1 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. /28 Testing supersymmetric neutrino mass models at the LHC Werner Porod Universität Würzburg

2 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 2/28 Overview Lepton flavour violation Signals in models with Dirac neutrinos Majorana neutrinos Neutrino masses via R-parity violation Conclusions

3 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 3/28 Lepton flavour violation, experimental data Neutrinos: tiny masses m 2 atm ev 2 m 2 sol ev 2 3 H decay: m ν < 2 ev + large mixings tan θ atm 2 tan θ sol U e3 2 < 0.05 strong bounds for charged leptons BR(µ eγ) <.2 0 BR(τ eγ) <. 0 7 BR(τ lll ) < O(0 8 ) (l, l = e, µ) BR(µ e e + e ) < 0 2 BR(τ µγ) < d e < 0 27 e cm, d µ < e cm, d τ < e cm SUSY contributions to anomalous magnetic moments a e 0 2, 0 a µ , a τ 0.058

4 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 4/28 Dirac neutrinos analog to leptons or quarks Y ν H u ν L ν R Y ν v u ν L ν R = m ν ν L ν R requires Y ν Y e no impact for future collider experiments Exception: ν R is LSP and thus a candidate for dark matter long lived NLSP, e.g. t l + b ν R Remark: m νr hardly runs e.g. m νr m 0 in msugra m νr 0 in GMSB S. Gopalakrishna, A. de Gouvea and W. P., JHEP 06 (2006) 050

5 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 5/28 Majorana neutrinos: Seesaw mechanism Neutrino masses due to f Λ (H ul)(h u L) Seesaw I: postulates very heavy ν R : m ν (Y T ν v u)m R (Y νv u ) ˆm ν = U T m ν U expect: 0 7 GeV < M Ri < 0 4 GeV. much more parameters than observables in ν-sector P. Minkowski, Phys. Lett. B 67 (977) 42; T. Yanagida, KEK-report 79-8 (979); M. Gell-Mann, P. Ramond, R. Slansky, in Supergravity, North Holland (979), p. 35; R.N. Mohapatra and G. Senjanovic, Phys. Rev. Lett (980).

6 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 6/28 Seesaw I Superpotential W = Y ji e b L i b Hd b E c j + Y ji ν b L i b Hu b N c j + M i b N c i b N c i convenient parameterization : Y ν = 2 i q v u ˆM R R p ˆm ν U RGE running with msugra boundaries: ( M 2 L) ij = 8π 2 (3m2 0 + A 2 0)(Y ν LY ν ) ij U iα U jβ mα mβ R kα R kβm Rk log ( A l ) ij = 3 8π 2 A 0Y li (Y ν LY ν) ij ( M 2 Ẽ ) ij = 0 L kl = log MX M Rk δ kl M X M Rk! J. A. Casas and A. Ibarra, Nucl. Phys. B68, 7 (200), [hep-ph/003065].

7 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 7/28 Seesaw I ( M 2 L) ij and ( A l ) ij induce l j l i γ, l i l + k l r lj l i χ 0 s χ 0 s l i lk Neglecting L-R mixing: Br(l i l j γ) α 3 m 5 l i (δm 2 L ) ij 2 Br( τ 2 e + χ 0 ) Br( τ 2 µ + χ 0 ) em 8 ( M 2 L) 3 ( M 2 L) 23 2 tan 2 β Moreover, in most of the parameter space Br(l i 3l j ) Br(l i l j + γ) α 3π log( m2 l i m 2 ) l 4 j

8 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 8/28 Seesaw I take all parameters real U = U TBM = 0 q C A R = C A 0 0 Use 2-loop RGEs and -loop corrections including flavour effects

9 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 9/28 Seesaw I 3 l j ) Br(l l γ),br(l i j i m ν =0 ev 0 0 Br(τ µ γ) Br(µ e γ) Br(τ e γ) Br(τ 3 µ ) Br(µ 3 e ) Br(τ 3 e ) 0 M (GeV) 6 χ) Br(τ e χ), Br(τ µ m ν =0 ev Br( τ e χ) Br( τ µ χ) Excluded by Br(µ e γ ) M (GeV) 6 degenerate ν R SPSa (M 0 = 70 GeV, M /2 = 250 GeV, A 0 = 300 GeV, tan β = 0, µ > 0) M. Hirsch et al. Phys. Rev. D 78 (2008) 03006

10 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 0/28 Seesaw I χ) Br(τ e χ), Br(τ µ m ν =0 ev Br( τ e χ) Br( τ µ χ) Excluded by Br(µ e γ ) χ) Br(τ e χ), Br(τ µ m ν =0 ev Br( τ e χ) Br( τ µ χ) Excluded by Br(µ e γ ) M (GeV) M 2 0 (GeV) 6 degenerate ν R hierarchical ν R (M = M 3 = 0 0 GeV) SPS3 (M 0 = 90 GeV, M /2 = 400 GeV, A 0 = 0 GeV, tan β = 0, µ > 0) M. Hirsch et al. Phys. Rev. D 78 (2008) 03006

11 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. /28 Seesaw I Texture models, hierarchical ν R real textures complexification of one texture SPSa (M 0 = 70 GeV, M /2 = 250 GeV, A 0 = 300 GeV, tan β = 0, µ > 0) F. Deppisch, F. Plentinger, W. P., R. Rückl, G. Seidl, in preparation

12 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 2/28 Seesaw II include SU(2) Triplet Higgs W = W MSSM + 2 Y ij T b L i b T b Lj + λ b Hd b T b Hd + λ 2 b Hu b T2 b Hu + M T b T b T2 m ν = v2 u 2 λ 2 M T Y T M T λ GeV 0.05 ev m ν Gauge coupling unification use 5 5 = S + T + Z S (6,, 2 3 ), T (,3,), Z (3,2, 6 ) W + 2 (Y T LT L + Y S d c Sd c ) + Y Z d c ZL + Y d d c QH d + Y u u c QH u + Y e e c LH d 2 (λ H d T H d + λ 2 H u T 2 H u ) + M T T T 2 + M Z Z Z 2 + M S S S 2 + µh d H u

13 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 3/28 Seesaw II with 5-plets 0 (m2 Q m 2 Ẽ )/M2, 0 (m2 D m 2 L)/M 2 (m 2 L m 2 Ẽ )/M2, (m 2 Q m 2 Ũ )/M (b,b 2,b 3 ) MSSM = ( 33 5,, 3) (b,b 2,b 3 ) T +T 2 = ( 8 5,4,0) (b,b 2,b 3 ) 5+5 = (7,7,7) Seesaw I ( msugra) m 2 Q m2 E M 2 m 2 Q m2 U M 2 20, m2 D m2 L M 2.6, m2 D m2 L M M 5 = M T [GeV] M. Hirsch, S. Kaneko, W. P., Phys. Rev. D 78 (2008)

14 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 4/28 Seesaw II with 5-plets 0 4 Br li lj Γ Br Τ ΜΓ Br Μ eγ Br Τ eγ Br Τ 2 Χ e, Br Τ 2 Χ Μ Br Τ 2 Χ e Br Τ 2 Χ Μ Excluded by Br Μ eγ M 5 M T GeV M 5 M T GeV λ = λ 2 = 0.5 SPS3 (M 0 = 90 GeV, M /2 = 400 GeV, A 0 = 0 GeV, tan β = 0, µ > 0) M. Hirsch, S. Kaneko, W. P., Phys. Rev. D 78 (2008)

15 ~q ~ 0 2 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 5/28 Masses at LHC G. Polesello 500 q l near l far Events/ GeV/00 fb ~ l R ~ m(ll) (GeV) 5 kinematical observables depending on 4 SUSY masses e.g.: m(ll) = ± 0.05 ± 0.08 mass determination within 2-5% For background suppression N(e + e ) + N(µ + µ ) N(e + µ ) N(µ + e )

16 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 6/28 Seesaw I + II, signal at LHC σ(χ 2 0 ) BR [fb] m 0 =00 GeV m 0 =200 GeV m 0 =300 GeV m 0 =500 GeV M /2 [GeV] σ(χ 2 0 ) BR [fb] m 0 =00 GeV m 0 =200 GeV m 0 =300 GeV m 0 =500 GeV M /2 [GeV] σ(pp χ 0 2 ) BR(χ0 2 P i,j l i l j µ ± τ χ 0 ) A 0 = 0, tan β = 0, µ > 0 (Seesaw II: λ = 0.02, λ 2 = 0.5) J.N. Esteves et al., arxiv:

17 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 7/28 arbitrary M 2 E,ij, M2 L,ij, A l,ij: χ 0 2 l i l j l k l j χ 0 BR( χ 0 2 χ0 e± τ ) BR( χ 0 2 χ0 µ± τ ) BR(τ eγ) BR(τ µγ) Variations around SPSa (M 0 = 00 GeV, M /2 = 250 GeV, A 0 = 00 GeV, tan β = 0)

18 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 8/28 Flavour mixing and edge variables 00 d Γ( χ 0 2 l± i l j χ0 ) Γ tot d m(l ± i l j ) 0.08 e ± τ 00 d Γ( χ 0 2 l+ l χ 0 ) Γ tot d m(l + l ) 0.05 e + e (= µ + µ ) [LFC] µ ± τ e ± µ µ + µ e + e m(l i ± l j ) [GeV] m(l + l ) [GeV] A. Bartl et al., Eur. Phys. J. C 46 (2006) 783

19 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 9/28 bilinear R-parity violation R-parity: ( ) 3(B L)+2S bilinear R-parity violation: W = W MSSM + ǫ i Li Ĥ u mixings between SM and SUSY particles Gravitino as dark matter generic prediction of GMSB : light Gravitino LSP NLSP: χ 0 oder l R (l = e,µ,τ) S. Borgani, A. Masiero, M. Yamaguchi, PLB386 (996) 89 F. Takayama and M. Yamaguchi, PLB 485 (2000) 388 M. Hirsch, W. P., D. Restrepo, JHEP 0503, 062 (2005)

20 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 20/28 bilinear R-parity violation Neutrino physics : neutrino masses via ν- χ 0 i mixing neutrino mixing angles in terms of R-parity violating couplings Neutralino decays: dominant R-parity violating decays: χ 0 W ± l i, χ0 Zν i, χ 0 ντ+ l i m χ R-parity conserving decay: Γ( χ Gγ) 00 ev 00 GeV m 3/2 Γ( χ 0 ) ( ) ev decay length of O(0 µm) O( mm) Gravitino: G eventually decays into νγ but: τ( G) O(0 30 ) life time of the universe M. Hirsch, et al. Phys. Rev. D 62, 3008 (2000)

21 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 2/28 bilinear R-parity violation BR( χ 0 Wµ) / BR( χ0 Wτ) 0 5 Correlations BR( χ 0 νeτ) /BR( χ0 νµτ) tan 2 (θ atm ) tan 2 (θ sol ) W. P. et al., Phys. Rev. D 63, 5004 (200)

22 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 22/28 bilinear R-parity violation BR( χ 0 P i Wl i) m χ 0 [GeV] BR( χ 0 P ij ν iτl j ) m χ 0 [GeV] BR( χ 0 Gγ) m χ 0 [GeV] tan β = 0, µ > 0, - - tan β = 0, µ < 0, tan β = 35, µ > 0, - - tan β = 35, µ < 0 m 3/2 = 00 ev, n 5 = M. Hirsch, W. P. und D. Restrepo, JHEP 0503, 062 (2005)

23 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 23/28 bilinear R-parity violation, reach in msugra 3-lepton channel multi-lepton channel displaced vertex m /2 (GeV) m /2 (GeV) m /2 (GeV) m 0 (GeV) m 0 (GeV) m 0 (GeV) L = 00 fb, A 0 = 00 GeV, tan β = 0, µ > 0 F. de Campos et al., JHEP 0805, 048 (2008)

24 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 24/28 Conclusions Dirac neutrinos: displaced vertices if ν R LSP, e.g. t lb ν R (but NMSSM: t lbν χ 0 ) Seesaw models: most promosing: τ 2 decays very difficult to test at LHC, signals of O(0 fb) or below in case of Seesaw II: different mass ratios R-parity violation interesting correlations between ν-physics and LSP decays, testable at LHC displaced vertices Can the model be pinned down?

25 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 25/28 SUSY masses at LHC talk by I. Borjanovic at Flavour in the era of LHC, Nov. 05, CERN L=00 fb - Fit results Mass reconstruction 5 endpoints measurements, 4 unknown masses m( 0 ) = 96 GeV m(l R ) = 43 GeV m( 20 ) = 77 GeV m(q L ) = 540 GeV m( 0 )= 4.8 GeV, m( 20 )= 4.7 GeV, m(l R ) = 4.8 GeV, m(q L )= 8.7 GeV Gjelsten, Lytken, Miller, Osland, Polesello, ATL-PHYS

26 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 26/28 Seesaw II with 5-plets 0 4 Br li lj Γ Br Τ ΜΓ Br Μ eγ Br Τ eγ Br Τ 2 Χ e, Br Τ 2 Χ Μ Br Τ 2 Χ e Br Τ 2 Χ Μ Excluded by Br Μ eγ M 5 M T GeV M 5 M T GeV λ = λ 2 = 0.5 SPSa (M 0 = 70 GeV, M /2 = 250 GeV, A 0 = 300 GeV, tan β = 0), µ > 0 M. Hirsch, S. Kaneko, W. P., Phys. Rev. D 78 (2008)

27 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 27/28 Seesaw II with 5-plets 0 4 Br li lj Γ Br Τ ΜΓ Br Μ eγ Br Τ eγ Br Τ 2 Χ e, Br Τ 2 Χ Μ Br Τ 2 Χ e Br Τ 2 Χ Μ Excluded by Br Μ eγ M 5 M T GeV M 5 M T GeV λ = λ 2 = 0.05 SPS3 (M 0 = 90 GeV, M /2 = 400 GeV, A 0 = 0 GeV, tan β = 0), µ > 0 M. Hirsch, S. Kaneko, W. P., Phys. Rev. D 78 (2008)

28 LBV09, Madison, 2 September 2009 W. Porod, Uni. Würzburg p. 28/28 Seesaw I + II, signal at LHC σ(χ 2 0 ) BR [fb] λ 2 =0.5 λ 2 =0. λ 2 = M /2 [GeV] σ(pp χ 0 2 ) BR(χ0 2 P i,j l i l j µ ± τ χ 0 ) m 0 = 00 GeV A 0 = 0, tan β = 0, µ > 0, λ = 0.02 J.N. Esteves et al., arxiv: