Oleksandr Tomalak
Elastic neutrino-electron scattering
- 1
Elastic neutrino-electron scattering within the effective field - - PowerPoint PPT Presentation
New Perspectives 2019 10 June, 2019 Fermilab, USA Elastic neutrino-electron scattering within the effective field theory Oleksandr Tomalak 1 Elastic neutrino-electron scattering - historic channel in discovery of weak neutral currents
2
CHARM (1988), CHARM-II (1994), BNL-E734 (1990), LAMPF (1993), LSND (2001) Savannah river (1976), Krasnoyarsk (1990), Rovno (1993), MUNU (2005), TEXONO (2010), GEMMA (2012) Gargamelle (1973) Kamiokande, SNO, Super-Kamiokande I-IV, Borexino, Hyper-Kamiokande
3
MINERvA (2016), MINERvA and NOvA analyses ongoing
CHARM (1988), CHARM-II (1994), BNL-E734 (1990), LAMPF (1993), LSND (2001) Savannah river (1976), Krasnoyarsk (1990), Rovno (1993), MUNU (2005), TEXONO (2010), GEMMA (2012) Gargamelle (1973) Kamiokande, SNO, Super-Kamiokande I-IV, Borexino, Hyper-Kamiokande
4
ν e e ν
<latexit sha1_base64="GkESPxKba7qd8chOZu8CwF70w=">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</latexit>ν e e ν
<latexit sha1_base64="hlEoz5iZCA+c2SAOsHsGDEQXdaI=">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</latexit>ν e ν e
<latexit sha1_base64="7nlTwNFcBzOB/iPeq9AWQ+uWkic=">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</latexit>Weinberg (1967), 't Hooft (1971)
PL = 1 − γ5 2 PR = 1 + γ5 2
<latexit sha1_base64="jIVJtqzhKgEG4nBepEiUg5r0U8=">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</latexit>5
ν e e ν
<latexit sha1_base64="GkESPxKba7qd8chOZu8CwF70w=">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</latexit>ν e e ν
<latexit sha1_base64="hlEoz5iZCA+c2SAOsHsGDEQXdaI=">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</latexit>ν e ν e
<latexit sha1_base64="7nlTwNFcBzOB/iPeq9AWQ+uWkic=">ADZnicdVJdb9MwFHVaPkaB0Q0hHnix9iEhMaXJPrTmrYIX3hgS3SY1VeW4N51V24lsBxZF/Rf8Fv7LJF5B/AtwmlN23GlRMfnPv1bWjlDNtPO/GaTQfPHz0eONJ6+mz5sv2lvb5zrJFIU+TXiLiOigTMJfcMh8tUARERh4to+qHMX3wFpVkiv5g8haEgE8liRomx1GjL+RGMGyiCGXgsgZbmEbYQxKWMFgWJy6neAT+x/Vvje/HBcHiodcKBGJd+ATFe0Fe4upIuSx4sqdcv9nbv1zsH/ywX3dzVwbazixDsIXN8K9kKZ7a3ljtyuzUGdDxb8midY1LOeEOT4bn+j9m45ahl4Hfi3YLe3E7ftPLz0btv+E4oZkAaSgnWg98LzXDgijDKC+rZxpSQqdkAgMLJRGgh8X85md43zJjHCfKftLgOVt3FERonYvIKgUxV7q1v5Is2bvkUisTd4cFk2lmQNKqU5xbBJcviM8ZsrePM8tIFQxOymV0QRauxrWxqh09eW6iQcprIsTKJIJxMO7WN+av7WQfnh65/5B5+tqt7j6rYQG/QDnqLfHSKeugjOkN9RJ0fzk/nl/O78ae52XzVfF1JG86t5yVaib+B/uU/6g=</latexit>−igλµ p2
Z − M 2 Z
<latexit sha1_base64="TveJys0Zx2nH2u0iNuxUBuHkXus=">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</latexit>−igλµ p2
W − M 2 W
<latexit sha1_base64="GWOxCL28qOsFWhwJe9LiYtsts=">ACEXicdVDLSgMxFM3UV62vqksXBkXopmVm2mrd1bpxI1SwD+jUIZNmajDzIMkIZhfcOvuFRxK07d/6NmVbFCl4IOZxzD/fe4SMCqnrH1pmZnZufiG7mFtaXldy69vtEUQcUxaOGAB7zpIEZ90pJUMtINOUGew0jHuTpO9c414YIG/rkchaTvoaFPXYqRVJSdL1guRzguUji0Y4sp4wBy4uSJA4vTLsDi/A0/RM7v6uXdL1a3q9CvWSYRrVSU6Cilw9NExpKSmu3fvSw3Xh0RdPOv1uDAEce8SVmSIieoYeyHyMuKWYkyVmRICHCV2hIegr6yCOiH48vSuCeYgbQDbh6voRj9rcjRp4QI89RnR6SlyK390dM2R9xapR0a/2Y+mEkiY8nk9yIQRnANB84oJxgyUYKIMypWhbiS6QykipFcL3pfB/0DZLRrlknqk0GmBSWbAFdkABGOA1MEJaIWwOAG3IEn8Kzdavfai/Y6ac1oX5NMFXa2yeBdp/v</latexit>PL = 1 − γ5 2 PR = 1 + γ5 2
<latexit sha1_base64="jIVJtqzhKgEG4nBepEiUg5r0U8=">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</latexit>Weinberg (1967), 't Hooft (1971)
6
ν e e ν
<latexit sha1_base64="GkESPxKba7qd8chOZu8CwF70w=">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</latexit>ν e e ν
<latexit sha1_base64="hlEoz5iZCA+c2SAOsHsGDEQXdaI=">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</latexit>ν e ν e
<latexit sha1_base64="7nlTwNFcBzOB/iPeq9AWQ+uWkic=">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</latexit>ig √ 2γλPLδννe
<latexit sha1_base64="ua8R4pERIRHrG1rsTv5D+SGBWlQ=">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</latexit>ig √ 2γµPLδννe
<latexit sha1_base64="WYCKu/qVT0KDEmZJj8oW74XeNo=">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</latexit>ig 2 cos θW γλPL
<latexit sha1_base64="I0q5uAlUiYgZX+oqH3qkNQEJtWs=">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</latexit>ig cos θW γµ ⇥ sin2 θW − 0.5
⇤
<latexit sha1_base64="CnpjprmX9ENbC4jgmDriDz9AKc=">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</latexit>−igλµ p2
Z − M 2 Z
<latexit sha1_base64="TveJys0Zx2nH2u0iNuxUBuHkXus=">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</latexit>−igλµ p2
W − M 2 W
<latexit sha1_base64="GWOxCL28qOsFWhwJe9LiYtsts=">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</latexit>PL = 1 − γ5 2 PR = 1 + γ5 2
<latexit sha1_base64="jIVJtqzhKgEG4nBepEiUg5r0U8=">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</latexit>Weinberg (1967), 't Hooft (1971)
−igλµ p2
Z − M 2 Z
<latexit sha1_base64="TveJys0Zx2nH2u0iNuxUBuHkXus=">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</latexit>−igλµ p2
W − M 2 W
<latexit sha1_base64="GWOxCL28qOsFWhwJe9LiYtsts=">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</latexit>7
PL = 1 − γ5 2 PR = 1 + γ5 2
<latexit sha1_base64="jIVJtqzhKgEG4nBepEiUg5r0U8=">ACeXicbVHPaxNBGJ2sVWv8FetBSi+jpVAUk92UYi9CsZcePEQxbaEblm9nv02HzI/tzKwQlv0De+tVL169eVU81NmkStP6YODx3vf4Pt6kheDWheGXVnBr6fadu8v32vcfPHz0uPNk5cDq0jAcMi20OUrBouAKh47gUeFQZCpwMN0stf4h5/RWK7VJzctcCRhrHjOGTgvJR0WS3AnRlaDOvlL39f0LY1zA6yK6Gsaj0FKSLbrql/Hp6clZPQ/oY9XQ68WQklnPeyGM9CbJLok67s7386f2+Okg6F3GmWSlROSbA2uMoLNyoAuM4E1i349JiAWwCYz2VIFEO6pmZdR0wysZzbXxTzk6U68mKpDWTmXqJ5vTbXvjmtmo/8yFVS7fGVcFaVDxeab8lJQp2lTLc24QebE1BNghvtjKTsB34jzH7BwQm9ovdTAicWVGacliBg0stxqiSoprHoej83yUG/G21+x98de/IHMtkjbwgmyQib8gu2ScDMiSMnJEf5Cf51fodPA82g5fz0aB1mXlKFhBs/QG9X8fV</latexit>ν e e ν
<latexit sha1_base64="GkESPxKba7qd8chOZu8CwF70w=">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</latexit>M 2
W = M 2 Z cos2 θW
<latexit sha1_base64="moQko4Yk1kmYujkXcnw9FsLVh0=">ACBXicdVC7SgNBFJ31bXxFLUYFMFq2V0fawpBtLERFIwRTVxmJzdmcPbBzF0hBCsLP8IvsLBRsbW2tBT9GcTFRU8MzhnHu5954wlUKj47xaPb19/QODQ8OFkdGx8Yni5NSBTjLFocwTmajDkGmQIoYyCpRwmCpgUSihEp5t5X7lHJQWSbyPrRqETuNRUNwhkYKirM7J15Qoes0/49olSf6xKNVbAKyoBIU5x3bK/kld4U6trOyvOb7OfFKq+4SdW2ng/mNucX3N/5ejcovlTrCc8iJFLpvWx6RYazOFgku4KFQzDSnjZ+wUjg2NWQS61u6cUEXjFKnjUSZFyPtqD872izSuhWFpjJi2NSFhT9mrn6bv0ZhY63WFnGaIcS8O6mRSYoJzUOhdaGAo2wZwrgSZlnKm0wxjqBMBl+H0v/JgWe7S7a3Z8LYJF0MkRkyRxaJS3yQbJLikTi7JDbkj9aVdWs9WI/d0h7rs2ea/IL19AENcprf</latexit>ν e e ν
<latexit sha1_base64="hlEoz5iZCA+c2SAOsHsGDEQXdaI=">ADZnicfVLbtNAEF3HXEqANgUhHnhZ9SIhUTl2L2ryFsELbxSJtJViK1pvxunK67W1uwYsK3/Bt/AvlXgF8RewjqvGSQoj2Tp75syc0eyGWdKu+61bLv3X/wcONR+/GTp5tbne1n5yrNJYUhTXkqL0OigDMBQ80h8tMAklCDhdh/K7KX3wGqVgqPukigyAhU8EiRok21Hjb+uCHMGWijKAQCREz3MYm/AhkYgSjoDx1XPcAn5j/rPTc+eG4OtQ64EC1TL8AiVe0Ne4tpIuWx4suzZK7nXtN5/6/2/XvdtXwVRvFiXvQdzwj2PNFvreWO3J6JgdNv8/fqmXD2Jyu79xZ7catQq8DrwbsDvY8d98ux4UZ+POH3+S0jwBoSknSo08N9NBSaRmlBtnP1eQERqTKYwMFCQBFZTzm5/hfcNMcJRK8wmN52yzoiSJUkUSGmVC9JVq768kK/Y2uWSlo15QMpHlGgStnaKcY53i6h3hCZPm5nlhAKGSmWExvSKSUG1e29I3aEyVDflECsiJlKnCeEk7jY25q3uZx2cHzrekXP40azuLapjA71CO+g18tApGqD36AwNEbW+Wz+sn9av1m97035hv6ylLeum5jlaChv/Bftk/6g=</latexit>ν e ν e
<latexit sha1_base64="7nlTwNFcBzOB/iPeq9AWQ+uWkic=">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</latexit>ig √ 2γλPLδννe
<latexit sha1_base64="ua8R4pERIRHrG1rsTv5D+SGBWlQ=">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</latexit>ig √ 2γµPLδννe
<latexit sha1_base64="WYCKu/qVT0KDEmZJj8oW74XeNo=">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</latexit>ig 2 cos θW γλPL
<latexit sha1_base64="I0q5uAlUiYgZX+oqH3qkNQEJtWs=">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</latexit>ig cos θW γµ ⇥ sin2 θW − 0.5
⇤
<latexit sha1_base64="CnpjprmX9ENbC4jgmDriDz9AKc=">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</latexit>e = g sin θW
<latexit sha1_base64="Mr/9k8+kFMHlRiyh4+c1g7+TjOM=">AB/HicdVDLSgNBEJyNrxhfUY9eBoPgadnNw5iDEPTiUcEYIQlhdtJBmdnl5leISz6K148KOLVD/Hm3zgbI6hoQUNR1U13VxBLYdDz3p3c3PzC4lJ+ubCyura+UdzcujRojm0eCQjfRUwA1IoaKFACVexBhYGEtrB9Unmt29AGxGpC5zE0AvZSImh4Ayt1C9uAz2iI9o1QtEujgFZv90vljy3Kg3/Br1XK9WPazXM1JuHPgV6rveFCUyw1m/+NYdRDwJQSGXzJiO78XYS5lGwSXcFrqJgZjxazaCjqWKhWB6fT4W7pnlQEdRtqWQjpVv0+kLDRmEga2M2Q4Nr+9TPzL6yQ4POylQsUJguKfi4aJpBjRLAk6EBo4yokljGthb6V8zDTjaPMq2BC+PqX/k8uy61fc8nm1DyexZEnO2SX7BOf1EmTnJIz0iKcTMg9eSRPzp3z4Dw7L5+tOWc2s01+wHn9AI7ElBk=</latexit>GF = √ 2g2 8M 2
W
<latexit sha1_base64="S/FIAL5U8oTc01ucOMuRhAKp83c=">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</latexit>Weinberg (1967), 't Hooft (1971)
8
MULAN (2012)
GF = 1.1663787(6) × 10−5 GeV−2
<latexit sha1_base64="h073e0rV6uIRUpdGQl9UYroM74I=">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</latexit>GF = √ 2g2 8M 2
W
<latexit sha1_base64="S/FIAL5U8oTc01ucOMuRhAKp83c=">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</latexit>Weinberg (1967), 't Hooft (1971)
9
ν ? e e ν
<latexit sha1_base64="62PY9jMj5nB0TpZKRdxb4+FpdY=">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</latexit>f
<latexit sha1_base64="W0Cd3NqFKV/2uVsCn5yScPns9ik=">ACFXicZVC7SgNBFJ31GeMraqnIoghWyW4stAzaWCZgHhCD3J3c1SHzWGZmhRBSWtkq/koaO7G19hv8CJ08EGMODBzOuZd75kQJZ8YGwac3N7+wuLScWcmurq1vbOa2tmtGpZpilSqudCMCg5xJrFpmOTYSjSAijvWoczH06/eoDVPynYTbAm4lSxmFKyTKvFN7jDIByP4sySckMPS3qDy9bA/KN/kvq/biqYCpaUcjGmGQWJbPdCWUY797HVqMAHagVtsOipBoGn1RkH7/pFT2n6stHvS+iP170YPhDFdEblJAfbOZI/+mUP15w6ZeOzVo/JLUo6fhSnHLfKn/4b/NFLu4A1cyF9ekdaKDWlTMVoVA1Tiojh0Dsq2tEsChU4ixKwXIvms/N/PLKkV8+FJvlhx1Z2TMTJklxyQYxKSU1Iil6RMqoQSJI/kiTx7L96r9+a9j0fnvMnODpmC9/EDwYSjbg=</latexit>f
<latexit sha1_base64="W0Cd3NqFKV/2uVsCn5yScPns9ik=">ACFXicZVC7SgNBFJ31GeMraqnIoghWyW4stAzaWCZgHhCD3J3c1SHzWGZmhRBSWtkq/koaO7G19hv8CJ08EGMODBzOuZd75kQJZ8YGwac3N7+wuLScWcmurq1vbOa2tmtGpZpilSqudCMCg5xJrFpmOTYSjSAijvWoczH06/eoDVPynYTbAm4lSxmFKyTKvFN7jDIByP4sySckMPS3qDy9bA/KN/kvq/biqYCpaUcjGmGQWJbPdCWUY797HVqMAHagVtsOipBoGn1RkH7/pFT2n6stHvS+iP170YPhDFdEblJAfbOZI/+mUP15w6ZeOzVo/JLUo6fhSnHLfKn/4b/NFLu4A1cyF9ekdaKDWlTMVoVA1Tiojh0Dsq2tEsChU4ixKwXIvms/N/PLKkV8+FJvlhx1Z2TMTJklxyQYxKSU1Iil6RMqoQSJI/kiTx7L96r9+a9j0fnvMnODpmC9/EDwYSjbg=</latexit>Qf
<latexit sha1_base64="b3nFdM3I7FVdDZDSEGmnoIMHXY=">ACF3icZVC7SgNBFJ31GeMramz+ACrZDcWo2lgm6UYgh3J3cjUPmsczMCiHkE2wVf8TWQhBbSz9EW50kIsYcGDicy/3zIlTzowNgndvanpmdm4+t5BfXFpeWS2srdeMyjTFiCqu9GUMBjmTGFlmOV6mGkHEHC/izsnAv7hBbZiS57abYkNAW7KEUbBOqs2k2ZhOygGQ/iTJPwh20c7H4/PN4uflWbh6qlaCZQWsrBmHoYpLbRA20Z5djPX2UGU6AdaGPdUQkCTaM3jNr3d53S8hOl3ZPWH6p/N3ogjOmK2E0KsNcmv/vPHKi/5tgpmxw2ekymUVJR5eSjPtW+YOP+y2mkVredQSoZi6sT69BA7WunrEIpcg4qaQ4dgzIlrZKAIdOKcGuFCD7rHwfz+TpFYuhvFctVd0xGyJFNskX2SEgOyBE5JRUSEUra5JbckXvwXvyXrzX0eiU97OzQcbgvX0DJw6k0A=</latexit>γ
<latexit sha1_base64="xCrXyBYaW3OLP43sakS6BcVoAgY=">ACGnicZVC7SgNBFJ31GeMraqnIoghWyW4stAzaWCZgomBCuDu5G8fMY5mZFUJIaW+r+CGp7cTWxm/wI3SiBhzYOBwzr3cMydKODM2CD68mdm5+YXFzFJ2eWV1bT23sVkzKtUq1Rxpa8iMiZxKpluNVohFExPEy6pwN/cs71IYpeWG7CTYEtCWLGQXrpFq9DUJAM7cf5IMR/GkS/pD90s6g8nm/Oyg3c1/1lqKpQGkpB2OuwyCxjR5oyjHfraeGkyAdqCN145KEGgavVHavn/glJYfK+2etP5I/bvRA2FMV0RuUoC9MdmDf+ZQ/TUnTtn4pNFjMktSjq+FKfct8of/t1vMY3U8q4jQDVzYX16AxqodQ1NRChUjZMKimPHgGxpqwRw6BRi7EoBsu8aC/3M01qxXx4lC9WXHWnZIwM2SZ75JCE5JiUyDkpkyqh5JY8kEfy5D17L96r9zYenfF+drbIBLz3b9ckpZk=</latexit>f
<latexit sha1_base64="W0Cd3NqFKV/2uVsCn5yScPns9ik=">ACFXicZVC7SgNBFJ31GeMraqnIoghWyW4stAzaWCZgHhCD3J3c1SHzWGZmhRBSWtkq/koaO7G19hv8CJ08EGMODBzOuZd75kQJZ8YGwac3N7+wuLScWcmurq1vbOa2tmtGpZpilSqudCMCg5xJrFpmOTYSjSAijvWoczH06/eoDVPynYTbAm4lSxmFKyTKvFN7jDIByP4sySckMPS3qDy9bA/KN/kvq/biqYCpaUcjGmGQWJbPdCWUY797HVqMAHagVtsOipBoGn1RkH7/pFT2n6stHvS+iP170YPhDFdEblJAfbOZI/+mUP15w6ZeOzVo/JLUo6fhSnHLfKn/4b/NFLu4A1cyF9ekdaKDWlTMVoVA1Tiojh0Dsq2tEsChU4ixKwXIvms/N/PLKkV8+FJvlhx1Z2TMTJklxyQYxKSU1Iil6RMqoQSJI/kiTx7L96r9+a9j0fnvMnODpmC9/EDwYSjbg=</latexit>f
<latexit sha1_base64="W0Cd3NqFKV/2uVsCn5yScPns9ik=">ACFXicZVC7SgNBFJ31GeMraqnIoghWyW4stAzaWCZgHhCD3J3c1SHzWGZmhRBSWtkq/koaO7G19hv8CJ08EGMODBzOuZd75kQJZ8YGwac3N7+wuLScWcmurq1vbOa2tmtGpZpilSqudCMCg5xJrFpmOTYSjSAijvWoczH06/eoDVPynYTbAm4lSxmFKyTKvFN7jDIByP4sySckMPS3qDy9bA/KN/kvq/biqYCpaUcjGmGQWJbPdCWUY797HVqMAHagVtsOipBoGn1RkH7/pFT2n6stHvS+iP170YPhDFdEblJAfbOZI/+mUP15w6ZeOzVo/JLUo6fhSnHLfKn/4b/NFLu4A1cyF9ekdaKDWlTMVoVA1Tiojh0Dsq2tEsChU4ixKwXIvms/N/PLKkV8+FJvlhx1Z2TMTJklxyQYxKSU1Iil6RMqoQSJI/kiTx7L96r9+a9j0fnvMnODpmC9/EDwYSjbg=</latexit>Qf
<latexit sha1_base64="b3nFdM3I7FVdDZDSEGmnoIMHXY=">ACF3icZVC7SgNBFJ31GeMramz+ACrZDcWo2lgm6UYgh3J3cjUPmsczMCiHkE2wVf8TWQhBbSz9EW50kIsYcGDicy/3zIlTzowNgndvanpmdm4+t5BfXFpeWS2srdeMyjTFiCqu9GUMBjmTGFlmOV6mGkHEHC/izsnAv7hBbZiS57abYkNAW7KEUbBOqs2k2ZhOygGQ/iTJPwh20c7H4/PN4uflWbh6qlaCZQWsrBmHoYpLbRA20Z5djPX2UGU6AdaGPdUQkCTaM3jNr3d53S8hOl3ZPWH6p/N3ogjOmK2E0KsNcmv/vPHKi/5tgpmxw2ekymUVJR5eSjPtW+YOP+y2mkVredQSoZi6sT69BA7WunrEIpcg4qaQ4dgzIlrZKAIdOKcGuFCD7rHwfz+TpFYuhvFctVd0xGyJFNskX2SEgOyBE5JRUSEUra5JbckXvwXvyXrzX0eiU97OzQcbgvX0DJw6k0A=</latexit>γ
<latexit sha1_base64="xCrXyBYaW3OLP43sakS6BcVoAgY=">ACGnicZVC7SgNBFJ31GeMraqnIoghWyW4stAzaWCZgomBCuDu5G8fMY5mZFUJIaW+r+CGp7cTWxm/wI3SiBhzYOBwzr3cMydKODM2CD68mdm5+YXFzFJ2eWV1bT23sVkzKtUq1Rxpa8iMiZxKpluNVohFExPEy6pwN/cs71IYpeWG7CTYEtCWLGQXrpFq9DUJAM7cf5IMR/GkS/pD90s6g8nm/Oyg3c1/1lqKpQGkpB2OuwyCxjR5oyjHfraeGkyAdqCN145KEGgavVHavn/glJYfK+2etP5I/bvRA2FMV0RuUoC9MdmDf+ZQ/TUnTtn4pNFjMktSjq+FKfct8of/t1vMY3U8q4jQDVzYX16AxqodQ1NRChUjZMKimPHgGxpqwRw6BRi7EoBsu8aC/3M01qxXx4lC9WXHWnZIwM2SZ75JCE5JiUyDkpkyqh5JY8kEfy5D17L96r9zYenfF+drbIBLz3b9ckpZk=</latexit>γ <latexit sha1_base64="xCrXyBYaW3OLP43sakS6BcVoAgY=">ACGnicZVC7SgNBFJ31GeMraqnIoghWyW4stAzaWCZgomBCuDu5G8fMY5mZFUJIaW+r+CGp7cTWxm/wI3SiBhzYOBwzr3cMydKODM2CD68mdm5+YXFzFJ2eWV1bT23sVkzKtUq1Rxpa8iMiZxKpluNVohFExPEy6pwN/cs71IYpeWG7CTYEtCWLGQXrpFq9DUJAM7cf5IMR/GkS/pD90s6g8nm/Oyg3c1/1lqKpQGkpB2OuwyCxjR5oyjHfraeGkyAdqCN145KEGgavVHavn/glJYfK+2etP5I/bvRA2FMV0RuUoC9MdmDf+ZQ/TUnTtn4pNFjMktSjq+FKfct8of/t1vMY3U8q4jQDVzYX16AxqodQ1NRChUjZMKimPHgGxpqwRw6BRi7EoBsu8aC/3M01qxXx4lC9WXHWnZIwM2SZ75JCE5JiUyDkpkyqh5JY8kEfy5D17L96r9zYenfF+drbIBLz3b9ckpZk=</latexit>γ <latexit sha1_base64="IoELSitFJaTQ4WT4pr8f01q0csw=">AB7XicbVDLSgNBEJyNrxhfUY9eBoPgKexGQY9BLx4jmAckS+idzCZj5rHMzAphyT948aCIV/Hm3/jJNmDJhY0FXdHdFCWfG+v63V1hb39jcKm6Xdnb39g/Kh0cto1JNaJMornQnAkM5k7RpmeW0k2gKIuK0HY1vZ37iWrDlHywk4SGAoaSxYyAdVKrNwQhoF+u+FV/DrxKgpxUI5Gv/zVGyiSCiot4WBMN/ATG2agLSOcTku91NAEyBiGtOuoBEFNmM2vneIzpwxwrLQrafFc/T2RgTBmIiLXKcCOzLI3E/zuqmNr8OMyS1VJLFojl2Co8ex0PmKbE8okjQDRzt2IyAg3EuoBKLoRg+eV0qpVg4tq7f6yUr/J4yiE3SKzlGArlAd3aEGaiKCHtEzekVvnvJevHfvY9Fa8PKZY/QH3ucPiDmPGQ=</latexit>10
ν ? e e ν
<latexit sha1_base64="62PY9jMj5nB0TpZKRdxb4+FpdY=">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</latexit>f
<latexit sha1_base64="W0Cd3NqFKV/2uVsCn5yScPns9ik=">ACFXicZVC7SgNBFJ31GeMraqnIoghWyW4stAzaWCZgHhCD3J3c1SHzWGZmhRBSWtkq/koaO7G19hv8CJ08EGMODBzOuZd75kQJZ8YGwac3N7+wuLScWcmurq1vbOa2tmtGpZpilSqudCMCg5xJrFpmOTYSjSAijvWoczH06/eoDVPynYTbAm4lSxmFKyTKvFN7jDIByP4sySckMPS3qDy9bA/KN/kvq/biqYCpaUcjGmGQWJbPdCWUY797HVqMAHagVtsOipBoGn1RkH7/pFT2n6stHvS+iP170YPhDFdEblJAfbOZI/+mUP15w6ZeOzVo/JLUo6fhSnHLfKn/4b/NFLu4A1cyF9ekdaKDWlTMVoVA1Tiojh0Dsq2tEsChU4ixKwXIvms/N/PLKkV8+FJvlhx1Z2TMTJklxyQYxKSU1Iil6RMqoQSJI/kiTx7L96r9+a9j0fnvMnODpmC9/EDwYSjbg=</latexit>f
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ν ? e e ν
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L
12
ν e e ν
<latexit sha1_base64="oNfCjRrq8zoJemqLbd02P0qnjCg=">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</latexit>γ
<latexit sha1_base64="xCrXyBYaW3OLP43sakS6BcVoAgY=">ACGnicZVC7SgNBFJ31GeMraqnIoghWyW4stAzaWCZgomBCuDu5G8fMY5mZFUJIaW+r+CGp7cTWxm/wI3SiBhzYOBwzr3cMydKODM2CD68mdm5+YXFzFJ2eWV1bT23sVkzKtUq1Rxpa8iMiZxKpluNVohFExPEy6pwN/cs71IYpeWG7CTYEtCWLGQXrpFq9DUJAM7cf5IMR/GkS/pD90s6g8nm/Oyg3c1/1lqKpQGkpB2OuwyCxjR5oyjHfraeGkyAdqCN145KEGgavVHavn/glJYfK+2etP5I/bvRA2FMV0RuUoC9MdmDf+ZQ/TUnTtn4pNFjMktSjq+FKfct8of/t1vMY3U8q4jQDVzYX16AxqodQ1NRChUjZMKimPHgGxpqwRw6BRi7EoBsu8aC/3M01qxXx4lC9WXHWnZIwM2SZ75JCE5JiUyDkpkyqh5JY8kEfy5D17L96r9zYenfF+drbIBLz3b9ckpZk=</latexit>13
ν ? e e ν
<latexit sha1_base64="62PY9jMj5nB0TpZKRdxb4+FpdY=">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</latexit>f
<latexit sha1_base64="W0Cd3NqFKV/2uVsCn5yScPns9ik=">ACFXicZVC7SgNBFJ31GeMraqnIoghWyW4stAzaWCZgHhCD3J3c1SHzWGZmhRBSWtkq/koaO7G19hv8CJ08EGMODBzOuZd75kQJZ8YGwac3N7+wuLScWcmurq1vbOa2tmtGpZpilSqudCMCg5xJrFpmOTYSjSAijvWoczH06/eoDVPynYTbAm4lSxmFKyTKvFN7jDIByP4sySckMPS3qDy9bA/KN/kvq/biqYCpaUcjGmGQWJbPdCWUY797HVqMAHagVtsOipBoGn1RkH7/pFT2n6stHvS+iP170YPhDFdEblJAfbOZI/+mUP15w6ZeOzVo/JLUo6fhSnHLfKn/4b/NFLu4A1cyF9ekdaKDWlTMVoVA1Tiojh0Dsq2tEsChU4ixKwXIvms/N/PLKkV8+FJvlhx1Z2TMTJklxyQYxKSU1Iil6RMqoQSJI/kiTx7L96r9+a9j0fnvMnODpmC9/EDwYSjbg=</latexit>f
<latexit sha1_base64="W0Cd3NqFKV/2uVsCn5yScPns9ik=">ACFXicZVC7SgNBFJ31GeMraqnIoghWyW4stAzaWCZgHhCD3J3c1SHzWGZmhRBSWtkq/koaO7G19hv8CJ08EGMODBzOuZd75kQJZ8YGwac3N7+wuLScWcmurq1vbOa2tmtGpZpilSqudCMCg5xJrFpmOTYSjSAijvWoczH06/eoDVPynYTbAm4lSxmFKyTKvFN7jDIByP4sySckMPS3qDy9bA/KN/kvq/biqYCpaUcjGmGQWJbPdCWUY797HVqMAHagVtsOipBoGn1RkH7/pFT2n6stHvS+iP170YPhDFdEblJAfbOZI/+mUP15w6ZeOzVo/JLUo6fhSnHLfKn/4b/NFLu4A1cyF9ekdaKDWlTMVoVA1Tiojh0Dsq2tEsChU4ixKwXIvms/N/PLKkV8+FJvlhx1Z2TMTJklxyQYxKSU1Iil6RMqoQSJI/kiTx7L96r9+a9j0fnvMnODpmC9/EDwYSjbg=</latexit>L + cf R
Qf
<latexit sha1_base64="b3nFdM3I7FVdDZDSEGmnoIMHXY=">ACF3icZVC7SgNBFJ31GeMramz+ACrZDcWo2lgm6UYgh3J3cjUPmsczMCiHkE2wVf8TWQhBbSz9EW50kIsYcGDicy/3zIlTzowNgndvanpmdm4+t5BfXFpeWS2srdeMyjTFiCqu9GUMBjmTGFlmOV6mGkHEHC/izsnAv7hBbZiS57abYkNAW7KEUbBOqs2k2ZhOygGQ/iTJPwh20c7H4/PN4uflWbh6qlaCZQWsrBmHoYpLbRA20Z5djPX2UGU6AdaGPdUQkCTaM3jNr3d53S8hOl3ZPWH6p/N3ogjOmK2E0KsNcmv/vPHKi/5tgpmxw2ekymUVJR5eSjPtW+YOP+y2mkVredQSoZi6sT69BA7WunrEIpcg4qaQ4dgzIlrZKAIdOKcGuFCD7rHwfz+TpFYuhvFctVd0xGyJFNskX2SEgOyBE5JRUSEUra5JbckXvwXvyXrzX0eiU97OzQcbgvX0DJw6k0A=</latexit>γ
<latexit sha1_base64="xCrXyBYaW3OLP43sakS6BcVoAgY=">ACGnicZVC7SgNBFJ31GeMraqnIoghWyW4stAzaWCZgomBCuDu5G8fMY5mZFUJIaW+r+CGp7cTWxm/wI3SiBhzYOBwzr3cMydKODM2CD68mdm5+YXFzFJ2eWV1bT23sVkzKtUq1Rxpa8iMiZxKpluNVohFExPEy6pwN/cs71IYpeWG7CTYEtCWLGQXrpFq9DUJAM7cf5IMR/GkS/pD90s6g8nm/Oyg3c1/1lqKpQGkpB2OuwyCxjR5oyjHfraeGkyAdqCN145KEGgavVHavn/glJYfK+2etP5I/bvRA2FMV0RuUoC9MdmDf+ZQ/TUnTtn4pNFjMktSjq+FKfct8of/t1vMY3U8q4jQDVzYX16AxqodQ1NRChUjZMKimPHgGxpqwRw6BRi7EoBsu8aC/3M01qxXx4lC9WXHWnZIwM2SZ75JCE5JiUyDkpkyqh5JY8kEfy5D17L96r9zYenfF+drbIBLz3b9ckpZk=</latexit>eff = −¯
LPL + cf RPR)f
<latexit sha1_base64="C+peCmdSzTxTCnFrc0eX/rDwOBQ=">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</latexit>γ
<latexit sha1_base64="xCrXyBYaW3OLP43sakS6BcVoAgY=">ACGnicZVC7SgNBFJ31GeMraqnIoghWyW4stAzaWCZgomBCuDu5G8fMY5mZFUJIaW+r+CGp7cTWxm/wI3SiBhzYOBwzr3cMydKODM2CD68mdm5+YXFzFJ2eWV1bT23sVkzKtUq1Rxpa8iMiZxKpluNVohFExPEy6pwN/cs71IYpeWG7CTYEtCWLGQXrpFq9DUJAM7cf5IMR/GkS/pD90s6g8nm/Oyg3c1/1lqKpQGkpB2OuwyCxjR5oyjHfraeGkyAdqCN145KEGgavVHavn/glJYfK+2etP5I/bvRA2FMV0RuUoC9MdmDf+ZQ/TUnTtn4pNFjMktSjq+FKfct8of/t1vMY3U8q4jQDVzYX16AxqodQ1NRChUjZMKimPHgGxpqwRw6BRi7EoBsu8aC/3M01qxXx4lC9WXHWnZIwM2SZ75JCE5JiUyDkpkyqh5JY8kEfy5D17L96r9zYenfF+drbIBLz3b9ckpZk=</latexit>γ <latexit sha1_base64="IoELSitFJaTQ4WT4pr8f01q0csw=">AB7XicbVDLSgNBEJyNrxhfUY9eBoPgKexGQY9BLx4jmAckS+idzCZj5rHMzAphyT948aCIV/Hm3/jJNmDJhY0FXdHdFCWfG+v63V1hb39jcKm6Xdnb39g/Kh0cto1JNaJMornQnAkM5k7RpmeW0k2gKIuK0HY1vZ37iWrDlHywk4SGAoaSxYyAdVKrNwQhoF+u+FV/DrxKgpxUI5Gv/zVGyiSCiot4WBMN/ATG2agLSOcTku91NAEyBiGtOuoBEFNmM2vneIzpwxwrLQrafFc/T2RgTBmIiLXKcCOzLI3E/zuqmNr8OMyS1VJLFojl2Co8ex0PmKbE8okjQDRzt2IyAg3EuoBKLoRg+eV0qpVg4tq7f6yUr/J4yiE3SKzlGArlAd3aEGaiKCHtEzekVvnvJevHfvY9Fa8PKZY/QH3ucPiDmPGQ=</latexit>Neutrino Energy GeV 1 2 3 4 5 6 7 8 9 10 POT at 1300 km
20
/GeV/10
2
flux/m ν
7
10
8
10
9
10
10
10
µ
ν
µ
ν
e
ν
e
ν
14
DUNE, CDR (2015)
ν ? e e ν
<latexit sha1_base64="62PY9jMj5nB0TpZKRdxb4+FpdY=">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</latexit>γ
<latexit sha1_base64="xCrXyBYaW3OLP43sakS6BcVoAgY=">ACGnicZVC7SgNBFJ31GeMraqnIoghWyW4stAzaWCZgomBCuDu5G8fMY5mZFUJIaW+r+CGp7cTWxm/wI3SiBhzYOBwzr3cMydKODM2CD68mdm5+YXFzFJ2eWV1bT23sVkzKtUq1Rxpa8iMiZxKpluNVohFExPEy6pwN/cs71IYpeWG7CTYEtCWLGQXrpFq9DUJAM7cf5IMR/GkS/pD90s6g8nm/Oyg3c1/1lqKpQGkpB2OuwyCxjR5oyjHfraeGkyAdqCN145KEGgavVHavn/glJYfK+2etP5I/bvRA2FMV0RuUoC9MdmDf+ZQ/TUnTtn4pNFjMktSjq+FKfct8of/t1vMY3U8q4jQDVzYX16AxqodQ1NRChUjZMKimPHgGxpqwRw6BRi7EoBsu8aC/3M01qxXx4lC9WXHWnZIwM2SZ75JCE5JiUyDkpkyqh5JY8kEfy5D17L96r9zYenfF+drbIBLz3b9ckpZk=</latexit>15
16
complementary measurement statistical significance
17
18
ν e e ν γ
<latexit sha1_base64="Vyvx3X5jZYZEWvFnX/w4toSEXes=">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</latexit>ν e e ν γ
<latexit sha1_base64="dJ9TbxvWZzUMjNlXRKSHuWpzD0=">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</latexit>LO
LO
<latexit sha1_base64="J76R9WMuv7NIChHWeohyj2V94m4=">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</latexit>19
Ram (1967) Aoiki, Hioki, Kawabe, Konuma and Muta (1980)
ν e e ν γ
<latexit sha1_base64="Vyvx3X5jZYZEWvFnX/w4toSEXes=">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</latexit>ν e e ν γ
<latexit sha1_base64="dJ9TbxvWZzUMjNlXRKSHuWpzD0=">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</latexit>Aoiki and Hioki (1981)
Sarantakos, Sirlin and Marciano (1982)
Bardin and Dokuchaeva (1983-1985)
Passera (2000)
LO
LO
<latexit sha1_base64="J76R9WMuv7NIChHWeohyj2V94m4=">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</latexit>Lee and Sirlin (1964)
20
δ = dσνe→νeγ
LO
+ dσνe→νe
NLO
− dσνe→νe
LO
dσνe→νe
LO
<latexit sha1_base64="EiH/9QMckiIRde7D5OQ+HljY96k=">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</latexit>e, ω = 1 GeV e, ω = 10 GeV EM, ω = 1 GeV EM, ω = 10 GeV νμe νμe δ, % −10 −5 E/ω 0.2 0.4 0.6 0.8 1.0
21
e, ω = 1 GeV e, ω = 10 GeV EM, ω = 1 GeV EM, ω = 10 GeV νμe νμe 1042 dσ/ dE, cm2 GeV-1 1.0 1.5 2.0 2.5 103 X, GeV 0.2 0.4 0.6 0.8 1.0
¯ E=Ee
e
<latexit sha1_base64="T+KEXKXyESeiCDd9CH+8AKM+XM=">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</latexit>22
e ν γ
<latexit sha1_base64="MKkgRKiOFG1qxH24TtEu/xYb4mY=">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</latexit>e <latexit sha1_base64="Pna6fdTWgvUMdKOvBzHgjCOl/o=">AB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0mqoMeiF48t2FpoQ9lsJ+3azSbsboQS+gu8eFDEqz/Jm/GbZuDtj4YeLw3w8y8IBFcG9f9dgpr6xubW8Xt0s7u3v5B+fCoreNUMWyxWMSqE1CNgktsGW4EdhKFNAoEPgTj25n/8IRK81jem0mCfkSHkoecUWOlJvbLFbfqzkFWiZeTCuRo9MtfvUHM0gilYJq3fXcxPgZVYzgdNSL9WYUDamQ+xaKmE2s/mh07JmVUGJIyVLWnIXP09kdFI60kU2M6ImpFe9mbif143NeG1n3GZpAYlWywKU0FMTGZfkwFXyIyYWEKZ4vZWwkZUWZsNiUbgrf8ip16reRbXWvKzUb/I4inACp3AOHlxBHe6gAS1gPAMr/DmPDovzrvzsWgtOPnMfyB8/kDyruM7Q=</latexit>23
ν e e ν
<latexit sha1_base64="GkESPxKba7qd8chOZu8CwF70w=">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</latexit> e <latexit sha1_base64="Pna6fdTWgvUMdKOvBzHgjCOl/o=">AB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0mqoMeiF48t2FpoQ9lsJ+3azSbsboQS+gu8eFDEqz/Jm/GbZuDtj4YeLw3w8y8IBFcG9f9dgpr6xubW8Xt0s7u3v5B+fCoreNUMWyxWMSqE1CNgktsGW4EdhKFNAoEPgTj25n/8IRK81jem0mCfkSHkoecUWOlJvbLFbfqzkFWiZeTCuRo9MtfvUHM0gilYJq3fXcxPgZVYzgdNSL9WYUDamQ+xaKmE2s/mh07JmVUGJIyVLWnIXP09kdFI60kU2M6ImpFe9mbif143NeG1n3GZpAYlWywKU0FMTGZfkwFXyIyYWEKZ4vZWwkZUWZsNiUbgrf8ip16reRbXWvKzUb/I4inACp3AOHlxBHe6gAS1gPAMr/DmPDovzrvzsWgtOPnMfyB8/kDyruM7Q=</latexit>24
25
according to H. Duyang et al., arXiv: 1902.09480v2 (2019)
26
DUNE e, νμ e, νμ e, νe e, νe e EM, νμ EM, νμ EM, νe EM, νe EM 1042 dσ/ dE, cm2 GeV-1 1.0 2.0 0.5 1.5 2.5 E, GeV 1 2 3 4 5 6 7 8 9 10