Electroweak Baryogenesis and Sphaleron at LHC Eibun Senaha (National Taiwan U) Jan. 11, 2017@U of Tokyo based on [1] C.-W. Chiang (Natl Taiwan U), K. Fuyuto (UMass-Amherst), E.S., 1607.07316 [PLB] [2] K. Funakubo (Saga U), K. Fuyuto, E.S., 1612.05431 Outline • Motivation • Electroweak baryogenesis (EWBG) in a nutshell • EWBG with lepton flavor violation • Does a band structure affect (B+L)-changing processes? • (B+L)-changing process in high-E collisions • (B+L)-changing process at high-T • Summary Introduction problems after the Higgs discovery Does the 125 GeV boson alone do the following jobs? V v 1 t m ATLAS and CMS V WZ κ LHC Run 1 ? or F −1 v 10 m F - mass generation κ b 10−2 τ ATLAS+CMS SM Higgs boson 10−3 µ - EW symmetry breaking [M, ε] fit 68% CL 95% CL 10−4 10−1 1 10 102 Particle mass [GeV] Figure 19: Best fit values as a function of particle mass for the combination of ATLAS and CMS data in the case of the parameterisation described in the text, with parameters defined as m /v for the fermions, and as p m /v F · F V · V for the weak vector bosons, where v = 246 GeV is the vacuum expectation value of the Higgs field. The dashed Experiments will answer those(blue) line indicates thegrand predicted dependence on the particlequestions mass in the case of the SM Higgs boson. Thein solid the near future. (red) line indicates the best fit result to the [M, ✏] phenomenological model of Ref. [128] with the corresponding 68% and 95% CL bands. 6.3.2. Probing the lepton and quark symmetry Most importantly, thoseThe parameterisation experiments for this test is very similar to that of Section 6.3.1, which probes themay up- and down- also shed light type fermion symmetry. In this case, the free parameters are λ = / , λ = / , and = / , lq l q Vq V q qq q · q H where the latter term is positive definite, like uu. The quark couplings are mainly probed by the ggF process, the H γγ and H bb decays, and to a lesser extent by the ttH process. The lepton couplings ! ! are probed by the H ⌧⌧ decays. The results are expected, however, to be insensitive to the relative ! on unsolved problems.sign of the couplings, because there is no sizeable lepton–quark interference in any of the relevant Higgs boson production processes and decay modes. Only the absolute value of the λlq parameter is therefore considered in the fit. The results of the fit are reported in Table 19 and Fig. 22. The p-value of the compatibility between the datadark and the SM predictions matter is 79%. The likelihood scan for the λlq parameter is shown in Fig. 23 If for the combination of ATLAS and CMS. Negative values for the parameter λVq are excluded by more than 4σ. Higgs is a window to new physics. Multi-Higgs baryogenesis45 Let us open the window!! Introduction problems after the Higgs discovery Does the 125 GeV boson alone do the following jobs? V v 1 t m ATLAS and CMS V WZ κ LHC Run 1 ? or F −1 v 10 m F - mass generation κ b 10−2 τ ATLAS+CMS SM Higgs boson 10−3 µ - EW symmetry breaking [M, ε] fit 68% CL 95% CL 10−4 10−1 1 10 102 Particle mass [GeV] Figure 19: Best fit values as a function of particle mass for the combination of ATLAS and CMS data in the case of the parameterisation described in the text, with parameters defined as m /v for the fermions, and as p m /v F · F V · V for the weak vector bosons, where v = 246 GeV is the vacuum expectation value of the Higgs field. The dashed Experiments will answer those(blue) line indicates thegrand predicted dependence on the particlequestions mass in the case of the SM Higgs boson. Thein solid the near future. (red) line indicates the best fit result to the [M, ✏] phenomenological model of Ref. [128] with the corresponding 68% and 95% CL bands. 6.3.2. Probing the lepton and quark symmetry Most importantly, thoseThe parameterisation experiments for this test is very similar to that of Section 6.3.1, which probes themay up- and down- also shed light type fermion symmetry. In this case, the free parameters are λ = / , λ = / , and = / , lq l q Vq V q qq q · q H where the latter term is positive definite, like uu. The quark couplings are mainly probed by the ggF process, the H γγ and H bb decays, and to a lesser extent by the ttH process. The lepton couplings ! ! are probed by the H ⌧⌧ decays. The results are expected, however, to be insensitive to the relative ! on unsolved problems.sign of the couplings, because there is no sizeable lepton–quark interference in any of the relevant Higgs boson production processes and decay modes. Only the absolute value of the λlq parameter is therefore considered in the fit. The results of the fit are reported in Table 19 and Fig. 22. The p-value of the compatibility between the datadark and the SM predictions matter is 79%. The likelihood scan for the λlq parameter is shown in Fig. 23 If for the combination of ATLAS and CMS. Negative values for the parameter λVq are excluded by more than 4σ. Higgs is a window to new physics. Multi-Higgs baryogenesis45 Let us open the window!! Electroweak baryogenesis [Kuzmin, Rubakov, Shaposhnikov, PLB155,36 (‘85) ] Sakharov’s conditions ✤ B violation: anomalous (sphaleron) process (LH fermions) ✤ C violation: chiral gauge interaction ✤ CP violation: KM phase and/or other sources in beyond the SM ✤ Out of equilibrium: 1st order EW phase transition (EWPT) with expanding bubble walls BAU can arise by the growing bubbles. EWBG in a nutshell [Kuzmin, Rubakov, Shaposhnikov, PLB155,36 (‘85) ] symmetric phase Φ =0 H: Hubble constant h i (s) ΓB >H broken phase Φ =0 h i6 (b) ΓB <H EWBG in a nutshell [Kuzmin, Rubakov, Shaposhnikov, PLB155,36 (‘85) ] symmetric phase Φ =0 H: Hubble constant h i (s) ΓB >H broken phase Φ =0 h i6 (1) (b) ΓB <H n = nL nL + nR nR =0 (1) Asymmetries arise (∵ CPV) but no BAU. B b − ¯b b − ¯b =0 =0 6 6 | {z } | {z } EWBG in a nutshell [Kuzmin, Rubakov, Shaposhnikov, PLB155,36 (‘85) ] symmetric phase Φ =0 H: Hubble constant h i (s) ΓB >H (2) broken phase Φ =0 h i6 (1) (b) ΓB <H n = nL nL + nR nR =0 (1) Asymmetries arise (∵ CPV) but no BAU. B b − ¯b b − ¯b =0 =0 L 6 L R 6 R ∵ nB = nb n¯ + nb n¯ nB =0 (2) LH part changes ( sphaleron) -> BAU | −{z b} | −{z b }! 6 changed | {z } EWBG in a nutshell [Kuzmin, Rubakov, Shaposhnikov, PLB155,36 (‘85) ] symmetric phase Φ =0 H: Hubble constant h i (s) ΓB >H (2) broken phase Φ =0 h i6 (1) (b) ΓB <H (3) n = nL nL + nR nR =0 (1) Asymmetries arise (∵ CPV) but no BAU. B b − ¯b b − ¯b =0 =0 L 6 L R 6 R ∵ nB = nb n¯ + nb n¯ nB =0 (2) LH part changes ( sphaleron) -> BAU | −{z b} | −{z b }! 6 changed (3) If Γ(b) <H the BAU can survive. B | {z } EWBG in a nutshell [Kuzmin, Rubakov, Shaposhnikov, PLB155,36 (‘85) ] symmetric phase How do we test this scenario? Φ =0 H: Hubble constant h i (s) ΓB >H (2) broken phase Φ =0 h i6 (1) (b) ΓB <H (3) n = nL nL + nR nR =0 (1) Asymmetries arise (∵ CPV) but no BAU. B b − ¯b b − ¯b =0 =0 L 6 L R 6 R ∵ nB = nb n¯ + nb n¯ nB =0 (2) LH part changes ( sphaleron) -> BAU | −{z b} | −{z b }! 6 changed (3) If Γ(b) <H the BAU can survive. B | {z } EWBG in a nutshell [Kuzmin, Rubakov, Shaposhnikov, PLB155,36 (‘85) ] symmetric phase How do we test this scenario? -> cannot redo EWPT in lab. exp. Φ =0 H: Hubble constant So, test Sakharov’criteria instead. h i (s) ΓB >H (2) broken phase Φ =0 h i6 (1) (b) ΓB <H (3) n = nL nL + nR nR =0 (1) Asymmetries arise (∵ CPV) but no BAU. B b − ¯b b − ¯b =0 =0 L 6 L R 6 R ∵ nB = nb n¯ + nb n¯ nB =0 (2) LH part changes ( sphaleron) -> BAU | −{z b} | −{z b }! 6 changed (3) If Γ(b) <H the BAU can survive. B | {z } EWBG in a nutshell [Kuzmin, Rubakov, Shaposhnikov, PLB155,36 (‘85) ] symmetric phase How do we test this scenario? -> cannot redo EWPT in lab. exp. Φ =0 H: Hubble constant So, test Sakharov’criteria instead. h i (s) ΓB >H (2) broken phase Φ =0 h i6 (1) (b) ΓB <H (3) probe by collider physics Higgs physics etc n = nL nL + nR nR =0 (1) Asymmetries arise (∵ CPV) but no BAU. B b − ¯b b − ¯b =0 =0 L 6 L R 6 R ∵ nB = nb n¯ + nb n¯ nB =0 (2) LH part changes ( sphaleron) -> BAU | −{z b} | −{z b }! 6 changed (3) If Γ(b) <H the BAU can survive. B | {z } EWBG in a nutshell [Kuzmin, Rubakov, Shaposhnikov, PLB155,36 (‘85) ] symmetric phase How do we test this scenario? -> cannot redo EWPT in lab. exp. Φ =0 H: Hubble constant So, test Sakharov’criteria instead. h i (s) ΓB >H (2) broken phase probe by CPV physics Φ =0 EDMs, B decays etc h i6 (1) (b) ΓB <H (3) probe by collider physics Higgs physics etc n = nL nL + nR nR =0 (1) Asymmetries arise (∵ CPV) but no BAU.