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Leptogenesis and Triplet Seesaw

Leptogenesis and Triplet Seesaw. Eung Jin Chun KIAS. Based on hep-ph/0609259 in collaboration with S. Scopel. TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: A. Matter-Antimatter asymmetry of the universe. No antimatter around us. Observation:

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Leptogenesis and Triplet Seesaw

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  1. Leptogenesis and Triplet Seesaw Eung Jin Chun KIAS Based on hep-ph/0609259 in collaboration with S. Scopel Leptogenesis & Triplet Seesaw TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: A

  2. Matter-Antimatter asymmetry of the universe • No antimatter around us. • Observation: • Asymmetrical initial condition after bigbang? • Generation of the asymmetry starting from matter-antimatter symmetrical universe: “baryogenesis” • Sakharov condition: (1967) • B or L violation • C and CP violation • Out of equilibrium Leptogenesis & Triplet Seesaw

  3. Electroweak Spharelon Processes B & L are conserved classically in SM. SU(3)c£ SU(2)L£ U(1)Y Invariant under 6-3=3 U(1) symmetries Leptogenesis & Triplet Seesaw

  4. Electroweak Spharelon Processes B+L is anomalous under SU(2)L and thus broken by quantum effect. Efficient spharelon transitions at T>MW. Leptogenesis & Triplet Seesaw

  5. Equilibrium distributions of charge asymmetries • Equilibirum number densities: • For T À m,  • For T ¿ m • Charge asymmetry in X: for FD/BE FD BE Leptogenesis & Triplet Seesaw

  6. Equilibrium distributions of charge asymmetries • B & L asymmetry: • Spharelon erasure: B = L=3 • Gauge charge neutrality: Leptogenesis & Triplet Seesaw

  7. Equilibrium distributions of charge asymmetries • All gauge and Yukawas in equilibrium: • Initial asymmety in transfers to B/L: Leptogenesis & Triplet Seesaw

  8. Leptogenesis and Neutrino masses • Neutrino masses observed: • Majorana nature of the small mass from L violation: • Requires new particles as the source of L violation at high scale. • Heavy particle decay falls into out-of-equilibrium for T<MX prohibiting inverse decays. • Provided a nontrivial CP phase in the decay, a cosmological L asymmetry may arise as required by the observation. Leptogenesis & Triplet Seesaw

  9. Leptogenesis in Singlet Seesaw • Seesaw through singlet RHNs • with heavy Majorana masses: • RHN decay produces CP/L asymmetry: tree+loop interference with CP phase in Yukawas Leptogenesis & Triplet Seesaw

  10. Leptogenesis in Singlet Seesaw CP asymmetry in RHN decay: for M2,3À M1 with eff·1 Leptogenesis & Triplet Seesaw

  11. Inverse decay effective for KÀ1 Leptogenesis in Singlet Seesaw Boltzmann equation: Leptogenesis & Triplet Seesaw

  12. Leptogenesis in Singlet Seesaw Approximate solution: Damping factor by inverse decay: ID=H Cosmological lepton asymmetry: Leptogenesis & Triplet Seesaw

  13. Leptogenesis in Triplet Seesaw • Supersymmetric Higgs Triplets with Y=1,-1 • Neutrino mass via seesaw in VEV: • Triplet decays produce L asymmetry: Leptogenesis & Triplet Seesaw

  14. Leptogenesis in Triplet Seesaw • Boltzmann Equations Gauge annihilation: * WW : Leptogenesis & Triplet Seesaw

  15. Leptogenesis in Triplet Seesaw • Decay vs. Annihilation: • Leptogenesis Phenomenology with 5 independent parameters: Leptogenesis & Triplet Seesaw

  16. Amount of CP violation required by observation in SM with only two channles: X  LL, HH Efficience increases far away from BL=BH=1/2 Leptogenesis & Triplet Seesaw

  17. Role of the third channel X  H1 H1 in SUSY Leptogenesis & Triplet Seesaw

  18. Lepton asymmetry generation with vanishing L Leptogenesis & Triplet Seesaw

  19. slow=1: Efficiency reaches maximum. Inverse decays in the slow channel freeze out early, and annihilations determine the triplet density up to quite large mass M. The final asymmetry is a growing function of K parameter and is insensitive to fast. Even L=fast=0 can lead to efficient leptogenesis. Features with slow & fast for slow (Ki¿ 1) & fast (KiÀ 1) channel. slow and one slow channel: The final lepton asymmetry is suppressed. Inverse decays freeze out late (zf» ln K À1), and decay is typically dominant over annihilation except for very small M. As a consequence, the efficiency scales as 1/(zf K) with K À1. Leptogenesis & Triplet Seesaw

  20. Features with slow & fast for slow (Ki¿ 1) & fast (KiÀ 1) channel. slow<1 and two slow channels: The slow channel with large i drives leptogenesis with a good efficiency. The system is practically with two decay channels as in SM. If slow=L,2, the phenomenology is different from SM case because K now is much bigger, reducing the efficiency at high masses and improving it at lower ones. Leptogenesis & Triplet Seesaw

  21. Conclusion • Matter-Antimatter asymmetry of the Universe requires New Physics: B/L violation, new CP phase. • It may have the same origin as the neutrino mass generation. • Revelation of such connection in the future experiments? • Successful leptogenesis can be attained in a wide range of scenarios in supersymmetric triplet seesaw model. Leptogenesis & Triplet Seesaw

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