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Z B-L phenomenology at LHC and ILC Elaine Cristina Ferreira Silva Fortes Institute of Theoretical Physics- IFT/Unesp In Collaboration with: Vicente Pleitez (IFT), J. C. Montero (IFT), Y. do A. Coutinho (UFRJ) Introduction In this

  1. Z’ B-L phenomenology at LHC and ILC Elaine Cristina Ferreira Silva Fortes – Institute of Theoretical Physics- IFT/Unesp In Collaboration with: Vicente Pleitez (IFT), J. C. Montero (IFT), Y. do A. Coutinho (UFRJ)

  2. Introduction • In this work we study the phenomenology of two models with SU(2) L ⊗U( 1) 1 ⊗U( 1) 2 gauge symmetry for the colliders LHC and ILC. We will explore reactions like:  p + p →µ + µ - + X  e + + e - → f f • In order to perform these studies we will consider important observables for LHC as: total cross sections, number of events, forward-backward asymmetry, rapidity and transverse momentum distribution related to the final states. For ILC we will consider some asymmetry distributions.

  3. The Models • B-L Secluded: SU(2) L ⊗ U(1) Y ⊗ U(1) Z • B-L Flipped: SU(2) L ⊗ U(1) Y ’ ⊗ U(1) B-L Charge Operator B-L Secluded B-L Flipped Q/e=I 3 +Y/2 Q/e=I 3 +1/2[Y’+(B -L)] • These models have two massive neutral vector bosons that will be denoted as Z 1 and Z 2 and their weak neutral currents will be parameterized as:     g                NC i i i i L g g Z f f Z    i V A 5 1 V A 5 2 i 2 c w

  4. B-L Secluded Model • In this model the masses of the neutral gauge bosons arise from the following terms in the covariant derivatives z   2 2 2     v u g g 2 2          2 g W t B z t B z g B Z Y t t  3 W Y H Z Z Z Z Z W 8 8 g g • In the basis W 3 , B Y and B Z the mass square matrix for the three electrically neutral gauge bosons is:     2 2 2 v t v 2 t z v  W Z H  2 2 g u   2 2 2 2 2 g  M  t v t v 2 t t z v  0 neutral W W W Z H Z 4     2 2 2 2 2 2 2 4 (1 ) t z v t t z v t z v   Z H W Z H Z H

  5. B-L Flipped Model • The masses of the neutral gauge bosons arise from the following terms in the covariant derivatives:    ' Y 2 2   2   v u 2 2          ' ' gW g B ' g B g Y B ' g Y B       3 Y ' B L B L Y ' B L B L 8 8 • The mass square matrix for the three electrically neutral gauge bosons in the basis W 3 , B Y’ , B B-L is: g '    2 2 t ' v / 4 t v ' / 4 0   g    2 2 2 2 2 2 ' / 4 ' (1 / 4) ' M g u  t v t v t t   neutral B L g       B L t 2 0 t t ' t   B L   B L B L g

  6. Imputs Chosen for Both Models 2 scenarios: First: M Z’ =1000 GeV; Second M Z’ =1500 GeV B-L Flipped B-L Secluded • g ’= 0.44 • g Z =0.2 • g B-L = 0.6132 • z q = 1/3 • u = 1324.4 / 1987 • u = 5000 / 7500 • Γ Z’ = 26.37 GeV / 38.87 GeV • z H =0 f A ’s vanish • The vectorial couplings of Z’ to fermions will be given by:        l u d f f 3 f 3 f t c V V V V Z W • Γ Z’ = 9.55 GeV / 10.48 GeV

  7. Neutral Coupling Constants f V,A and Decay Widths for Both Models M Z’ =1000 1000 /1500 0 B-L Flipped B-L Secluded GeV f V f A f V f A 0.8412 / 0.8420 -0.1739 / -0.1732 0.2690 / 0.2690 0 / 0 neutrinos 0.4977 / 0.4977 0.1739 / -0.1732 0.2690 / 0.2690 0 / 0 leptons -0.0510 / -0.0511 -0.1739 / -0.1732 -0.0897 / -0.0897 0 / 0 u-quarks -0.3949/-0.3955 0.1739 / -0.1732 -0.0897 / -0.0897 0 / 0 d-quarks M Z’ =10 =1000 00 /1500 0 B-L Flipped B-L Secluded GeV    36% / 36% 23.5% / 23.6% Z ' i i i   18.6% / 18.6% 45.1% / 45.5% Z ' ll i i i 42.4% / 42.6% 31.4% / 30.9%   Z ' q q i i i 3% / 2.8% 0%/ 0%    ' Z W W

  8. Observables of Z’ at Colliders LHC ILC  Total cross sections;  Forward-backward Asymmetry;  Forward-backward Asymmetry;  Left-right Asymmetry;  Rapidity Distributions;  Polarization Asymmetry;  Transverse moment Distributions;  Mixed Asymmetries.  Lepton angular Distribution. e + + e - → µ + + µ - Drell-Yan Channel: p + p →µ + + µ - + X

  9. Results - LHC

  10. Results - LHC

  11. Results - LHC

  12. Results - LHC

  13. Results – ILC (M Z2 =1000 GeV)

  14. Conclusions • The B-L Secluded Model is leptofilic, its cross section near the Z 2- peak, is larger for leptons if compared to quarks; • In both models, Z 2 decays preferentially to leptons compared to the SM; • The Z 2 widths are very different in each model and are larger in the flipped model; • According to the chosen parameters, the Flipped model has better chances to be disentangled from the background of the standard model, due to the nature of Z 2 couplings to fermions;

  15. References  J. C. Montero and V. Pleitez, Phys. Lett. B76 765, 64 64 (2009 09); arXiv:070 706.047 473;  T. Appelquist, B. A. Dobrescu, and A. R. Hopper, Phys. Rev. D 68 68, 035012 035012 (2003 2003);  L. Basso, A. Belyaev, S. Moretti, and G. M. Pruna, Phys. Rev. D 80 80, 055030 055030 (2009 2009); and and JHEP 10 10, 006 006 (2009 2009);  M. Carena, A. Daleo, B. A. Dobrescu, and T.M.P. Tait, Phys. Rev. D 70 70, 093009 093009 (2004 2004);  G. Cacciapaglia, C. Csaki, G. Mrandella, and A. Strumia, Phys. Rev. D 74 74, 033011 033011 (2006 2006);  J. Erler, P. Langacker, S. Munir, and E. Rojas, JHEP 08 08, 017 17 (2009 09); arXiv:090 906.243 435;  M. Dittmar, Anne-Sylvie Nicollerat, A. Djouadi, Phys. Lett. B 583 583, 11 111 (2004 2004).  LEP and SLD Collaborations, Phys. Rept. 467 467, 257 257 (2006 2006).

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