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1. Spontaneous Baryo/Leptogenesis 2. Schwinger Effect & Chiral Anomaly

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1. Spontaneous Baryo/Leptogenesis 2. Schwinger Effect & Chiral Anomaly 1. Spontaneous Baryo/Leptogenesis 2. Schwinger effect & Chiral anomaly Kyohei Mukaida Desy, Hamburg → CERN Based on 1806.08769, 1910.01205, 2006.03148 In collaboration with Y. Ema, V. Domcke, R.Sato, M.Yamada Kyohei Mukaida <latexit sha1_base64="/gaPyKX4IjrbFz4vhLQ9hTNAw5g=">AAAD93ichVPLbtNAFL2peZTyaApCQmJjERXBJhqboKasKrFBrPogbaU6RH5MmlH9kj1JlVr9AX6ABQtUJBDQFd/Ahh9g0U9ALIvEhgVnJo4qJJKOZc+ZM/eeO2dm7KWhyCVjJ5UZ48LFS5dnr8xdvXb9xnx14eZmnvQzn7f8JEyybc/NeShi3pJChnw7zbgbeSHf8vaeqvmtAc9ykcQv5DDl7cjdjUVX+K4E1anedtKeMJ3UzaRwQ9Pxg0SazzvVGqtbzces0TQBlu1HzAawl2wLwKoz3WpUttVkocLJoYAS8qlPEXGKSQKH5FKOZ4csYpSCa1MBLgMSep7TIc0ht48ojggX7B6+uxjtlGyMsdLMdbaPKiHeDJkmLbLv7BM7Zd/YMfvB/kzUKrSGWssQvTfK5Wln/tWdjd/nZkXoJfXOsqZkeIie7klSl5rai4C3VDPKpT/SHxy8Pt14sr5Y3Gfv2E/4O2In7CscxoNf/vs1vv7mHPUErACjKoxXHuj9E4iKp6yuADc6sx5GgY5UsTFG+3rnI60YY64An+IUlJ4637Zm1Il2UfEBnBRUA688OYhTtXuYeVjWn6TpYgfz/2o6NABSd2eS9lnE9BqB9qbQeH8yoEKzh7j94ytuTgabdt1q1JfXGrWVl+V/MEt36R6cW7REK/SMVqmF2gUd0Wc6NobGW+OD8XEUOlMpc27RP8348heK7t3E</latexit> <latexit sha1_base64="5Z2jwL+6DuK0ryb9NJoruS9ZF44=">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</latexit> <latexit sha1_base64="wISDRBWT4b9zNyoLJpf7eFhOgA0=">AAAD8XichVPLbtNAFL2peZTySFo2SGwsoiLYRGMT1JRVJaSKZR+krVSHyI9JM6o9tmwnqLX6A/wAQt1ARReon8GGH2DRT0Asi8SGBWcmjiokko5l+8yZe8+dMw8vCUWWM3ZemTGuXb9xc/bW3O07d+9Va/MLW1k8SH3e9uMwTnc8N+OhkLydizzkO0nK3cgL+ba3/1KNbw95molYvs4PEt6J3D0pesJ3c1DdWtVJ+sJcNZ1chAE3V7u1OmtYrees2TIBlu1nzAawl2wLwGow3epUtrV4vsLJoYBi8mlAEXGSlAOH5FKGZ5csYpSA61ABLgUSepzTEc0hd4AojggX7D6+e+jtlqxEX2lmOttHlRBvikyTFtl39oVdsG/sjP1gfyZqFVpDzeUAf2+Uy5Nu9d2Dzd9XZkX459S/zJqS4SF6uqecetTSXgS8JZpRLv2R/vDw/cXmi43F4jE7YT/h7xM7Z1/hUA5/+afrfOP4CvUYrACjKoxnHuj1E4iSU2ZXgBvtWR+9QEeqWIneW73ykVaUGCvAJ9gFpaf2t6MZtaM9VHwCJwXVwStPDuJU7T5Gnpb1J2m6WMHsv5oODYHU2ZmkfRkxvUagvSk0Xp8UqNDsEU7/+Iibk8GW3bCajeX1Zn3lTXkPZukhPYJzi5ZohV7RGrX1fTimz3RqZMYH46NxMgqdqZQ59+mfZpz9BVCa2uk=</latexit> Summary Spontaneous CPT violation from ALPs φ˙ = 0 6 @ J φF F˜ · Many talks on this phenomenon! Also today. Kyohei Mukaida 2 <latexit sha1_base64="k+uKB7H6O1A6Nf+u7V2hfJzcM8U=">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</latexit> <latexit sha1_base64="xgXCST229Xl4kMdIIqQkuJ5JVFA=">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</latexit> <latexit sha1_base64="GgzpO88ri5eI9rSZPRtL30QJNY8=">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</latexit> <latexit sha1_base64="w1zi/ir7XX2sQ8Z9O1qNegJe82s=">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</latexit> Summary V.Domcke, Y.Ema, KM, M.Yamada Spontaneous Baryo/Leptogensis 2006.03148 ‣ We can generate baryon asymmetry for almost any SM-ALP couplings. - Complementary to Keisuke and Raymond’s talk °Y ˙ 1 WS Ye SS Yd u1 Yu 2 φ cB 24n 22n 21n 18n 18 n q c T = 158 S ° S ° S + S ° ° S B = B √ Yd1 ! f ˙ 24 WS 19 SS 15 Yt 115 W 2 φ cB L nS nS nS nS qB L = cB L T ° = 261 ° 174 + 58 ° 348 − − f V.Domcke, Y.Ema, KM Chiral fermion & Helical gauge field 1806.08769, 1910.01205 ‣ Helical gauge fields & chiral fermions are generated simultaneously. - Complementary to Benedict’s talk † eR µ 3 @ J g 2W a W˜ aµ∫ g 2 Y Y˜ µ∫ µ B L 2 2 µ∫ Y µ∫ EY <latexit sha1_base64="nRJIIZiudB2Fia9Trh3ubYDHCYU=">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</latexit> + = 16º ° 0 ≠ ≥ ¥6= eR Kyohei Mukaida 3 1. Spontaneous Baryo/Leptogenesis <latexit sha1_base64="HdYvu4Bfm/XLqbTgOAZy4vBp1Uw=">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</latexit> <latexit sha1_base64="qx/gGR9IvMDOjy0D9QMYbx+/jco=">AAAE4nichVM9b9NQFL0pBkr5aAoLEotFCIIlenZTNWWqxAALUts0TaW6tWznpbHqL9lOaLHyB7IhBgZYQGJALKywsrAjhv4ExFgkFgbOe0lUKhHnRbHvO/fce89918+OPDdJGTsuzJxTzl+4OHtp7vKVq9fmiwvXt5KwGzu84YReGG/bVsI9N+CN1E09vh3F3PJtjzftg4fC3+zxOHHDYDM9iviub+0Hbtt1rBSQWbxjPLJ83zKNlB+mWbPeV43E9VXD8qKOZep7S+rmXtUsllhFqy2xak2FsaIvMh2GvqxrMLQKk6tEo7UWLhS+kUEtCsmhLvnEKaAUtkcWJfjtkEaMImC7lAGLYbnSz6lPc4jtgsXBsIAe4LmP3c4IDbAXORMZ7aCKh3+MSJXK7Dt7z07YV/aB/WB/JubKZA6h5QhvexjLI3N+cLP+e2qUj3dKndOonAgb7PyeUmpTTfbiordIIqJLZ5i/9+zlSf3BRjm7y96yn+jvDTtmX9Bh0PvlvFvnG6+QvZybPwTqAhE1xtpb8gRdsIIcfRm0hfDEYHJ5xpOZyWi+HexaI2YA+6mckS8rB/BkwHvAe+CIL0GoUoGJ6behzZB5AmQViApvCay+5MRScUey4jOs/HpPoNYDJ4NlSkSc8SGeGa1JT39Khgj1gn8Un+q9N1Hj/Sk5LXwdyX9zDk9I3IvJ/Y8Z+TVachbCGk8+hpVJtI+bPb6+6mRjS69o1crKerW0Whvd8Vm6RbfRuUbLtEqPcYYN1B7QR/pEn5WWMlCeKy+G1JnCKOYGnVnK679hfQ5P</latexit> Introduction Cosmic Inflation v.s. Baryon Asymmetry ‣ Inflation: accelerated expansion - Solve horizon/flatness problems + Provide density perturbations. - Dilute unwanted
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