寻找直接违反CP
IF 1.5
4区 物理与天体物理
Q3 PHYSICS, PARTICLES & FIELDS
Sheng-Tao Li, Gang Lü
{"title":"寻找直接违反CP","authors":"Sheng-Tao Li, Gang Lü","doi":"10.1155/2022/3136459","DOIUrl":null,"url":null,"abstract":"In perturbative QCD approach, based on the first order of isospin symmetry breaking, we study the direct <svg height=\"8.98583pt\" style=\"vertical-align:-0.2324905pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.75334 16.1235 8.98583\" width=\"16.1235pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,8.645,0)\"></path></g></svg> violation in the decay of <span><svg height=\"18.3992pt\" style=\"vertical-align:-3.943601pt\" version=\"1.1\" viewbox=\"-0.0498162 -14.4556 34.598 18.3992\" width=\"34.598pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><rect height=\"0.65243\" width=\"7.84228\" x=\"0\" y=\"-11.1958\"></rect><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-67\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,7.842,-8.606)\"><use xlink:href=\"#g50-49\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,7.842,3.784)\"><use xlink:href=\"#g50-116\"></use></g><g transform=\"matrix(.013,0,0,-0.013,16.421,0)\"><use xlink:href=\"#g117-149\"></use></g><g transform=\"matrix(.013,0,0,-0.013,22.196,0)\"><use xlink:href=\"#g117-148\"></use></g></svg><span></span><svg height=\"18.3992pt\" style=\"vertical-align:-3.943601pt\" version=\"1.1\" viewbox=\"38.2581838 -14.4556 66.455 18.3992\" width=\"66.455pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,38.308,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,45.318,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,49.816,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,58.111,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,62.609,0)\"><use xlink:href=\"#g113-76\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,72.426,-5.741)\"><use xlink:href=\"#g50-43\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,77.986,-5.741)\"><use xlink:href=\"#g50-49\"></use></g><g transform=\"matrix(.013,0,0,-0.013,86.585,0)\"><use xlink:href=\"#g117-149\"></use></g><g transform=\"matrix(.013,0,0,-0.013,92.361,0)\"><use xlink:href=\"#g117-148\"></use></g></svg><span></span><span><svg height=\"18.3992pt\" style=\"vertical-align:-3.943601pt\" version=\"1.1\" viewbox=\"108.4231838 -14.4556 48.181 18.3992\" width=\"48.181pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,108.473,0)\"><use xlink:href=\"#g113-238\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,116.157,-5.741)\"><use xlink:href=\"#g54-36\"></use></g><g transform=\"matrix(.013,0,0,-0.013,122.236,0)\"><use xlink:href=\"#g113-238\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,129.92,-5.741)\"><use xlink:href=\"#g54-33\"></use></g><g transform=\"matrix(.013,0,0,-0.013,135.999,0)\"><use xlink:href=\"#g113-76\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,145.816,-5.741)\"><use xlink:href=\"#g50-43\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,151.376,-5.741)\"><use xlink:href=\"#g50-49\"></use></g></svg>.</span></span> An interesting mechanism is applied to enlarge the <svg height=\"8.8423pt\" style=\"vertical-align:-0.2064009pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 16.4758 8.8423\" width=\"16.4758pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,8.293,0)\"></path></g></svg> violating asymmetry involving the charge symmetry breaking between <svg height=\"9.39034pt\" style=\"vertical-align:-3.42943pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 7.13289 9.39034\" width=\"7.13289pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-239\"></use></g></svg> and <span><svg height=\"6.1673pt\" style=\"vertical-align:-0.2063904pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 8.42472 6.1673\" width=\"8.42472pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-246\"></use></g></svg>.</span> We find that the <svg height=\"8.98583pt\" style=\"vertical-align:-0.2324905pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.75334 16.1235 8.98583\" width=\"16.1235pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g190-68\"></use></g><g transform=\"matrix(.013,0,0,-0.013,8.645,0)\"><use xlink:href=\"#g190-81\"></use></g></svg> violation is large by the <svg height=\"10.4342pt\" style=\"vertical-align:-3.4294pt\" version=\"1.1\" viewbox=\"-0.0498162 -7.0048 28.9286 10.4342\" width=\"28.9286pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-239\"></use></g><g transform=\"matrix(.013,0,0,-0.013,9.916,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,20.452,0)\"><use xlink:href=\"#g113-246\"></use></g></svg> mixing mechanism when the invariant masses of the <svg height=\"11.0031pt\" style=\"vertical-align:-0.2064009pt\" version=\"1.1\" viewbox=\"-0.0498162 -10.7967 27.6813 11.0031\" width=\"27.6813pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-238\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,7.684,-5.741)\"><use xlink:href=\"#g54-36\"></use></g><g transform=\"matrix(.013,0,0,-0.013,13.763,0)\"><use xlink:href=\"#g113-238\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,21.448,-5.741)\"><use xlink:href=\"#g54-33\"></use></g></svg> pairs are in the vicinity of the <svg height=\"6.1673pt\" style=\"vertical-align:-0.2063904pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 8.42472 6.1673\" width=\"8.42472pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-246\"></use></g></svg> resonance. For the decay process of <span><svg height=\"18.3992pt\" style=\"vertical-align:-3.943601pt\" version=\"1.1\" viewbox=\"-0.0498162 -14.4556 34.598 18.3992\" width=\"34.598pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><rect height=\"0.65243\" width=\"7.84228\" x=\"0\" y=\"-11.1958\"></rect><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-67\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,7.842,-8.606)\"><use xlink:href=\"#g50-49\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,7.842,3.784)\"><use xlink:href=\"#g50-116\"></use></g><g transform=\"matrix(.013,0,0,-0.013,16.421,0)\"><use xlink:href=\"#g117-149\"></use></g><g transform=\"matrix(.013,0,0,-0.013,22.196,0)\"><use xlink:href=\"#g117-148\"></use></g></svg><span></span><svg height=\"18.3992pt\" style=\"vertical-align:-3.943601pt\" version=\"1.1\" viewbox=\"38.2581838 -14.4556 66.455 18.3992\" width=\"66.455pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,38.308,0)\"><use xlink:href=\"#g113-239\"></use></g><g transform=\"matrix(.013,0,0,-0.013,45.318,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,49.816,0)\"><use xlink:href=\"#g113-246\"></use></g><g transform=\"matrix(.013,0,0,-0.013,58.111,0)\"><use xlink:href=\"#g113-42\"></use></g><g transform=\"matrix(.013,0,0,-0.013,62.609,0)\"><use xlink:href=\"#g113-76\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,72.426,-5.741)\"><use xlink:href=\"#g50-43\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,77.986,-5.741)\"><use xlink:href=\"#g50-49\"></use></g><g transform=\"matrix(.013,0,0,-0.013,86.585,0)\"><use xlink:href=\"#g117-149\"></use></g><g transform=\"matrix(.013,0,0,-0.013,92.361,0)\"><use xlink:href=\"#g117-148\"></use></g></svg><span></span><span><svg height=\"18.3992pt\" style=\"vertical-align:-3.943601pt\" version=\"1.1\" viewbox=\"108.4231838 -14.4556 48.181 18.3992\" width=\"48.181pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,108.473,0)\"><use xlink:href=\"#g113-238\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,116.157,-5.741)\"><use xlink:href=\"#g54-36\"></use></g><g transform=\"matrix(.013,0,0,-0.013,122.236,0)\"><use xlink:href=\"#g113-238\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,129.92,-5.741)\"><use xlink:href=\"#g54-33\"></use></g><g transform=\"matrix(.013,0,0,-0.013,135.999,0)\"><use xlink:href=\"#g113-76\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,145.816,-5.741)\"><use xlink:href=\"#g50-43\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,151.376,-5.741)\"><use xlink:href=\"#g50-49\"></use></g></svg>,</span></span> the maximum <svg height=\"8.98583pt\" style=\"vertical-align:-0.2324905pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.75334 16.1235 8.98583\" width=\"16.1235pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g190-68\"></use></g><g transform=\"matrix(.013,0,0,-0.013,8.645,0)\"><use xlink:href=\"#g190-81\"></use></g></svg> violation can reach <span><svg height=\"8.85534pt\" style=\"vertical-align:-0.4673595pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.38798 45.6528 8.85534\" width=\"45.6528pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g117-33\"></use></g><g transform=\"matrix(.013,0,0,-0.013,7.631,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,13.871,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,20.112,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,23.076,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,29.316,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,35.556,0)\"></path></g></svg>.</span> Furthermore, taking <svg height=\"10.4342pt\" style=\"vertical-align:-3.4294pt\" version=\"1.1\" viewbox=\"-0.0498162 -7.0048 28.9286 10.4342\" width=\"28.9286pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-239\"></use></g><g transform=\"matrix(.013,0,0,-0.013,9.916,0)\"><use xlink:href=\"#g117-33\"></use></g><g transform=\"matrix(.013,0,0,-0.013,20.452,0)\"><use xlink:href=\"#g113-246\"></use></g></svg> mixing into account, we calculate the branching ratio for <span><svg height=\"18.3992pt\" style=\"vertical-align:-3.943601pt\" version=\"1.1\" viewbox=\"-0.0498162 -14.4556 34.598 18.3992\" width=\"34.598pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><rect height=\"0.65243\" width=\"7.84228\" x=\"0\" y=\"-11.1958\"></rect><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-67\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,7.842,-8.606)\"><use xlink:href=\"#g50-49\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,7.842,3.784)\"><use xlink:href=\"#g50-116\"></use></g><g transform=\"matrix(.013,0,0,-0.013,16.421,0)\"><use xlink:href=\"#g117-149\"></use></g><g transform=\"matrix(.013,0,0,-0.013,22.196,0)\"><use xlink:href=\"#g117-148\"></use></g></svg><span></span><span><svg height=\"18.3992pt\" style=\"vertical-align:-3.943601pt\" version=\"1.1\" viewbox=\"38.2581838 -14.4556 44.866 18.3992\" width=\"44.866pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,38.308,0)\"><use xlink:href=\"#g113-239\"></use></g><g transform=\"matrix(.013,0,0,-0.013,45.318,0)\"><use xlink:href=\"#g113-41\"></use></g><g transform=\"matrix(.013,0,0,-0.013,49.816,0)\"><use xlink:href=\"#g113-246\"></use></g><g transform=\"matrix(.013,0,0,-0.013,58.111,0)\"><use xlink:href=\"#g113-42\"></use></g><g transform=\"matrix(.013,0,0,-0.013,62.609,0)\"><use xlink:href=\"#g113-76\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,72.426,-5.741)\"><use xlink:href=\"#g50-43\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,77.986,-5.741)\"><use xlink:href=\"#g50-49\"></use></g></svg>.</span></span> We also discuss the possibility of observing the predicted <svg height=\"8.8423pt\" style=\"vertical-align:-0.2064009pt\" version=\"1.1\" viewbox=\"-0.0498162 -8.6359 16.4758 8.8423\" width=\"16.4758pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-68\"></use></g><g transform=\"matrix(.013,0,0,-0.013,8.293,0)\"><use xlink:href=\"#g113-81\"></use></g></svg> violation asymmetry at the LHC.","PeriodicalId":7498,"journal":{"name":"Advances in High Energy Physics","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2022-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Hunting for Direct CP Violation in\",\"authors\":\"Sheng-Tao Li, Gang Lü\",\"doi\":\"10.1155/2022/3136459\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In perturbative QCD approach, based on the first order of isospin symmetry breaking, we study the direct <svg height=\\\"8.98583pt\\\" style=\\\"vertical-align:-0.2324905pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -8.75334 16.1235 8.98583\\\" width=\\\"16.1235pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,8.645,0)\\\"></path></g></svg> violation in the decay of <span><svg height=\\\"18.3992pt\\\" style=\\\"vertical-align:-3.943601pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -14.4556 34.598 18.3992\\\" width=\\\"34.598pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><rect height=\\\"0.65243\\\" width=\\\"7.84228\\\" x=\\\"0\\\" y=\\\"-11.1958\\\"></rect><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g113-67\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,7.842,-8.606)\\\"><use xlink:href=\\\"#g50-49\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,7.842,3.784)\\\"><use xlink:href=\\\"#g50-116\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,16.421,0)\\\"><use xlink:href=\\\"#g117-149\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,22.196,0)\\\"><use xlink:href=\\\"#g117-148\\\"></use></g></svg><span></span><svg height=\\\"18.3992pt\\\" style=\\\"vertical-align:-3.943601pt\\\" version=\\\"1.1\\\" viewbox=\\\"38.2581838 -14.4556 66.455 18.3992\\\" width=\\\"66.455pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,38.308,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,45.318,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,49.816,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,58.111,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,62.609,0)\\\"><use xlink:href=\\\"#g113-76\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,72.426,-5.741)\\\"><use xlink:href=\\\"#g50-43\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,77.986,-5.741)\\\"><use xlink:href=\\\"#g50-49\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,86.585,0)\\\"><use xlink:href=\\\"#g117-149\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,92.361,0)\\\"><use xlink:href=\\\"#g117-148\\\"></use></g></svg><span></span><span><svg height=\\\"18.3992pt\\\" style=\\\"vertical-align:-3.943601pt\\\" version=\\\"1.1\\\" viewbox=\\\"108.4231838 -14.4556 48.181 18.3992\\\" width=\\\"48.181pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,108.473,0)\\\"><use xlink:href=\\\"#g113-238\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,116.157,-5.741)\\\"><use xlink:href=\\\"#g54-36\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,122.236,0)\\\"><use xlink:href=\\\"#g113-238\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,129.92,-5.741)\\\"><use xlink:href=\\\"#g54-33\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,135.999,0)\\\"><use xlink:href=\\\"#g113-76\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,145.816,-5.741)\\\"><use xlink:href=\\\"#g50-43\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,151.376,-5.741)\\\"><use xlink:href=\\\"#g50-49\\\"></use></g></svg>.</span></span> An interesting mechanism is applied to enlarge the <svg height=\\\"8.8423pt\\\" style=\\\"vertical-align:-0.2064009pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -8.6359 16.4758 8.8423\\\" width=\\\"16.4758pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,8.293,0)\\\"></path></g></svg> violating asymmetry involving the charge symmetry breaking between <svg height=\\\"9.39034pt\\\" style=\\\"vertical-align:-3.42943pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -5.96091 7.13289 9.39034\\\" width=\\\"7.13289pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g113-239\\\"></use></g></svg> and <span><svg height=\\\"6.1673pt\\\" style=\\\"vertical-align:-0.2063904pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -5.96091 8.42472 6.1673\\\" width=\\\"8.42472pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g113-246\\\"></use></g></svg>.</span> We find that the <svg height=\\\"8.98583pt\\\" style=\\\"vertical-align:-0.2324905pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -8.75334 16.1235 8.98583\\\" width=\\\"16.1235pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g190-68\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,8.645,0)\\\"><use xlink:href=\\\"#g190-81\\\"></use></g></svg> violation is large by the <svg height=\\\"10.4342pt\\\" style=\\\"vertical-align:-3.4294pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -7.0048 28.9286 10.4342\\\" width=\\\"28.9286pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g113-239\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,9.916,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,20.452,0)\\\"><use xlink:href=\\\"#g113-246\\\"></use></g></svg> mixing mechanism when the invariant masses of the <svg height=\\\"11.0031pt\\\" style=\\\"vertical-align:-0.2064009pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -10.7967 27.6813 11.0031\\\" width=\\\"27.6813pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g113-238\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,7.684,-5.741)\\\"><use xlink:href=\\\"#g54-36\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,13.763,0)\\\"><use xlink:href=\\\"#g113-238\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,21.448,-5.741)\\\"><use xlink:href=\\\"#g54-33\\\"></use></g></svg> pairs are in the vicinity of the <svg height=\\\"6.1673pt\\\" style=\\\"vertical-align:-0.2063904pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -5.96091 8.42472 6.1673\\\" width=\\\"8.42472pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g113-246\\\"></use></g></svg> resonance. For the decay process of <span><svg height=\\\"18.3992pt\\\" style=\\\"vertical-align:-3.943601pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -14.4556 34.598 18.3992\\\" width=\\\"34.598pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><rect height=\\\"0.65243\\\" width=\\\"7.84228\\\" x=\\\"0\\\" y=\\\"-11.1958\\\"></rect><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g113-67\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,7.842,-8.606)\\\"><use xlink:href=\\\"#g50-49\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,7.842,3.784)\\\"><use xlink:href=\\\"#g50-116\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,16.421,0)\\\"><use xlink:href=\\\"#g117-149\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,22.196,0)\\\"><use xlink:href=\\\"#g117-148\\\"></use></g></svg><span></span><svg height=\\\"18.3992pt\\\" style=\\\"vertical-align:-3.943601pt\\\" version=\\\"1.1\\\" viewbox=\\\"38.2581838 -14.4556 66.455 18.3992\\\" width=\\\"66.455pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,38.308,0)\\\"><use xlink:href=\\\"#g113-239\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,45.318,0)\\\"><use xlink:href=\\\"#g113-41\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,49.816,0)\\\"><use xlink:href=\\\"#g113-246\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,58.111,0)\\\"><use xlink:href=\\\"#g113-42\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,62.609,0)\\\"><use xlink:href=\\\"#g113-76\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,72.426,-5.741)\\\"><use xlink:href=\\\"#g50-43\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,77.986,-5.741)\\\"><use xlink:href=\\\"#g50-49\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,86.585,0)\\\"><use xlink:href=\\\"#g117-149\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,92.361,0)\\\"><use xlink:href=\\\"#g117-148\\\"></use></g></svg><span></span><span><svg height=\\\"18.3992pt\\\" style=\\\"vertical-align:-3.943601pt\\\" version=\\\"1.1\\\" viewbox=\\\"108.4231838 -14.4556 48.181 18.3992\\\" width=\\\"48.181pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,108.473,0)\\\"><use xlink:href=\\\"#g113-238\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,116.157,-5.741)\\\"><use xlink:href=\\\"#g54-36\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,122.236,0)\\\"><use xlink:href=\\\"#g113-238\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,129.92,-5.741)\\\"><use xlink:href=\\\"#g54-33\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,135.999,0)\\\"><use xlink:href=\\\"#g113-76\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,145.816,-5.741)\\\"><use xlink:href=\\\"#g50-43\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,151.376,-5.741)\\\"><use xlink:href=\\\"#g50-49\\\"></use></g></svg>,</span></span> the maximum <svg height=\\\"8.98583pt\\\" style=\\\"vertical-align:-0.2324905pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -8.75334 16.1235 8.98583\\\" width=\\\"16.1235pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g190-68\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,8.645,0)\\\"><use xlink:href=\\\"#g190-81\\\"></use></g></svg> violation can reach <span><svg height=\\\"8.85534pt\\\" style=\\\"vertical-align:-0.4673595pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -8.38798 45.6528 8.85534\\\" width=\\\"45.6528pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g117-33\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,7.631,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,13.871,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,20.112,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,23.076,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,29.316,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,35.556,0)\\\"></path></g></svg>.</span> Furthermore, taking <svg height=\\\"10.4342pt\\\" style=\\\"vertical-align:-3.4294pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -7.0048 28.9286 10.4342\\\" width=\\\"28.9286pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g113-239\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,9.916,0)\\\"><use xlink:href=\\\"#g117-33\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,20.452,0)\\\"><use xlink:href=\\\"#g113-246\\\"></use></g></svg> mixing into account, we calculate the branching ratio for <span><svg height=\\\"18.3992pt\\\" style=\\\"vertical-align:-3.943601pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -14.4556 34.598 18.3992\\\" width=\\\"34.598pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><rect height=\\\"0.65243\\\" width=\\\"7.84228\\\" x=\\\"0\\\" y=\\\"-11.1958\\\"></rect><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g113-67\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,7.842,-8.606)\\\"><use xlink:href=\\\"#g50-49\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,7.842,3.784)\\\"><use xlink:href=\\\"#g50-116\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,16.421,0)\\\"><use xlink:href=\\\"#g117-149\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,22.196,0)\\\"><use xlink:href=\\\"#g117-148\\\"></use></g></svg><span></span><span><svg height=\\\"18.3992pt\\\" style=\\\"vertical-align:-3.943601pt\\\" version=\\\"1.1\\\" viewbox=\\\"38.2581838 -14.4556 44.866 18.3992\\\" width=\\\"44.866pt\\\" 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引用次数: 0
摘要
在微扰QCD方法中，基于同位旋对称性破缺的一阶，我们研究了衰变中的直接违背。应用了一种有趣的机制来扩大违反不对称性，涉及和之间的电荷对称破缺。我们发现，当不变质量对在共振附近时，混合机制的违和很大。的衰变过程中，可以达到最大破坏。此外，考虑混合，我们计算了分支比。我们还讨论了在大型强子对撞机上观测到预测的违和不对称性的可能性。本文章由计算机程序翻译，如有差异，请以英文原文为准。
Hunting for Direct CP Violation in
In perturbative QCD approach, based on the first order of isospin symmetry breaking, we study the direct violation in the decay of . An interesting mechanism is applied to enlarge the violating asymmetry involving the charge symmetry breaking between and . We find that the violation is large by the mixing mechanism when the invariant masses of the pairs are in the vicinity of the resonance. For the decay process of , the maximum violation can reach . Furthermore, taking mixing into account, we calculate the branching ratio for . We also discuss the possibility of observing the predicted violation asymmetry at the LHC.
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来源期刊
Advances in High Energy Physics
PHYSICS, PARTICLES & FIELDS-
CiteScore
3.40
自引率
5.90%
发文量
55
审稿时长
6-12 weeks
期刊介绍：
Advances in High Energy Physics publishes the results of theoretical and experimental research on the nature of, and interaction between, energy and matter. Considering both original research and focussed review articles, the journal welcomes submissions from small research groups and large consortia alike.
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