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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

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

matter antimatter asymmetry of the universe
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

electroweak spharelon processes
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

electroweak spharelon processes1
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

equilibrium distributions of charge asymmetries
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

equilibrium distributions of charge asymmetries1
Equilibrium distributions of charge asymmetries
  • B & L asymmetry:
  • Spharelon erasure: B = L=3
  • Gauge charge neutrality:

Leptogenesis & Triplet Seesaw

equilibrium distributions of charge asymmetries2
Equilibrium distributions of charge asymmetries
  • All gauge and Yukawas in equilibrium:
  • Initial asymmety in transfers to B/L:

Leptogenesis & Triplet Seesaw

leptogenesis and neutrino masses
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

leptogenesis in singlet seesaw
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

leptogenesis in singlet seesaw1
Leptogenesis in Singlet Seesaw

CP asymmetry in RHN decay:

for M2,3À M1

with eff·1

Leptogenesis & Triplet Seesaw

leptogenesis in singlet seesaw2

Inverse decay

effective for KÀ1

Leptogenesis in Singlet Seesaw

Boltzmann equation:

Leptogenesis & Triplet Seesaw

leptogenesis in singlet seesaw3
Leptogenesis in Singlet Seesaw

Approximate solution:

Damping factor by inverse decay:

ID=H

Cosmological lepton asymmetry:

Leptogenesis & Triplet Seesaw

leptogenesis in triplet seesaw
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

leptogenesis in triplet seesaw1
Leptogenesis in Triplet Seesaw
  • Boltzmann Equations

Gauge annihilation: * WW :

Leptogenesis & Triplet Seesaw

leptogenesis in triplet seesaw2
Leptogenesis in Triplet Seesaw
  • Decay vs. Annihilation:
  • Leptogenesis Phenomenology with 5 independent parameters:

Leptogenesis & Triplet Seesaw

amount of cp violation required by observation in sm with only two channles x ll hh
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

slide19

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

slide20

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

conclusion
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