Matterantimatter asymmetry generation due to timevarying background field

Matter-antimatter asymmetry generation due to time-varying background field Seishi Enomoto (SYSU) Based on: Int. Jour. Mod. Phys. A 33 (2018) 1850146 (ar. Xiv: 1707. 05310 [hep-ph]) 2019/11/28 The 3 rd Workshop on HEPG @ South China Normal Univ. 1/37

Introduction 2019/11/28 The 3 rd Workshop on HEPG @ South China Normal Univ. 2/37

- Introduction - ■ History of the Universe Mandatory! Inflation (Baryogenesis) Reheating EW BBN Recombination … time 1. Slow roll [Inflation] )) )) 2019/11/28 3. Decay [Reheating] 2. Oscillation [Preheating] The 3 rd Workshop on HEPG @ South China Normal Univ. 3/37

■ - Introduction [J. H. Traschen and R. H. Brandenberger (1990), L. Kofman, A. D. Linde, A. A. Starobinsky (1994, 1997)] ( http: //www. nicovideo. jp/watch/sm 14518057 ) [ http: //www. riken. jp/pr/press/20140725_1/ ] Center of Mass Amp of Swing 2019/11/28 The 3 rd Workshop on HEPG @ South China Normal Univ. 4/37

■ - Introduction [J. H. Traschen and R. H. Brandenberger (1990), L. Kofman, A. D. Linde, A. A. Starobinsky (1994, 1997)] (wave func. ) tial n e n Expo wth! gro )) )) (occupation #) l ntia e n Expo wth! gro 2019/11/28 The 3 rd Workshop on HEPG @ South China Normal Univ. 5/37

- Introduction - ■ shrink Trapped! Energy loss ))) )) 2019/11/28 The 3 rd Workshop on HEPG @ South China Normal Univ. 6/37

- Introduction - ■ stop Shr ink Ex )) )) p. gro wt h stop 10. 0 9. 0 ~ 1700 8. 0 7. 0 6. 0 5. 0 4. 0 3. 0 2. 0 1. 0 0. 05 2019/11/28 0. 05 0. 1 The 3 rd Workshop on HEPG @ South China Normal Univ. 0. 1 7/37

Asymmetric particle production 2019/11/28 The 3 rd Workshop on HEPG @ South China Normal Univ. 8/37

- 3. Asymmetric particle production - ■ History of the Universe Inflation Reheating (Baryogenesis) EW BBN 2. Oscillation [Preheating] Recombination 3. Decay [Reheating] time 4. Decay [Baryogenesis] ) ) )) )) Asymmetry 3. Parametric resonance [Baryogenesis] 2019/11/28 ( 4. Decay [Reheating] ) The 3 rd Workshop on HEPG @ South China Normal Univ. 9/37

- 3. Asymmetric particle production [SE, T. Matsuda (2017)] ■ )) )) Original mass 2019/11/28 The 3 rd Workshop on HEPG @ South China Normal Univ. 10/37

- 3. Asymmetric particle production - ■ 2019/11/28 The 3 rd Workshop on HEPG @ South China Normal Univ. 11/37

■ Required differential equations - 3. Asymmetric particle production - 2019/11/28 The 3 rd Workshop on HEPG @ South China Normal Univ. 12/37

■ Numerical results 1 )) )) 2019/11/28 The 3 rd Workshop on HEPG @ South China Normal Univ. 13/37

- 3. Asymmetric particle production - ■ (background oscillation) )) )) 2019/11/28 The 3 rd Workshop on HEPG @ South China Normal Univ. 14/37

Summary Parametric resonance )) )) ■ After inflation, non-perturbative particle production and parametric resonance are caused due to oscillating inflation field (Preheating) ■ Such mechanism can be applicable to matter-antimatter asymmetry generation ■ Baryogenesis also can be possible at preheating era without decay or scattering ■ The analytic results still have not obtained progress in future It is interesting to investigate this mechanism by other CP violating model (work in progress) 2019/11/28 The 3 rd Workshop on HEPG @ South China Normal Univ. Asymmetric particle production 15/37

back up 2019/11/28 The 3 rd Workshop on HEPG @ South China Normal Univ. 16/37

■ - 3. Asymmetric particle production [SE, T. Matsuda (2017)] 2019/11/28 The 3 rd Workshop on HEPG @ South China Normal Univ. 17/37

■ (kinetic energy) (1 particle energy) ( total # ) ( net # ) U(1) Noether charge 2019/11/28 The 3 rd Workshop on HEPG @ South China Normal Univ. 18/37

■ plane wave func. cre. /ann. op. 2019/11/28 How calculate? The 3 rd Workshop on HEPG @ South China Normal Univ. 19/37

■ (distribution) = 2019/11/28 (total energy) – (0 -point energy) (1 particle energy) The 3 rd Workshop on HEPG @ South China Normal Univ. 20/37

■ Bogoliubov transformation 2019/11/28 The 3 rd Workshop on HEPG @ South China Normal Univ. 21/37

■ Bogoliubov trf. 2019/11/28 The 3 rd Workshop on HEPG @ South China Normal Univ. 22/37

- Introduction - ■ stop Shr ink gro wt )) )) h Ex p. stop 10. 0 9. 0 ~ 1700 8. 0 7. 0 6. 0 5. 0 4. 0 3. 0 2. 0 1. 0 0. 05 2019/11/28 0. 05 0. 1 The 3 rd Workshop on HEPG @ South China Normal Univ. 0. 1 23/37

■ - 3. Asymmetric particle production [SE, T. Matsuda (2017)] 2019/11/28 The 3 rd Workshop on HEPG @ South China Normal Univ. 24/37