Fast computation of observed cross section for ψ′ → PP decays
It has been conjectured that the relative phase between strong and electromagnetic amplitudes is universally -90° in charmonium decays. ψ′ decaying into a pseudoscalar pair provides a possibility to test this conjecture. However, the experimentally observed cross section for such a process is depict...
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| Veröffentlicht in: | Chinese physics C 2011-05, Vol.35 (5), p.411-418 |
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| container_title | Chinese physics C |
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| creator | Wang, Bo-Qun (博群 王) Mo, Xiao-Hu (晓虎 莫) Wang, Ping (平王) Ban, Yong (勇班) |
| description | It has been conjectured that the relative phase between strong and electromagnetic amplitudes is universally -90° in charmonium decays. ψ′ decaying into a pseudoscalar pair provides a possibility to test this conjecture. However, the experimentally observed cross section for such a process is depicted by the two-fold integral, which takes into account the initial state radiative （ISR） correction and energy spread effect. Using the generalized linear regression approach, a complex energy-dependent factor is approximated by a linear function of energy. Taking advantage of this simplification, the integration of ISR correction can be performed and an analytical expression with accuracy at the level of 1% is obtained. Then, the original two-fold integral is simplified into a one-fold integral, which reduces the total computing time by two orders of magnitude. Such a simplified expression for the observed cross section usually plays an indispensable role in the optimization of scan data taking, the determination of systematic uncertainty, and the analysis of data correlation. |
| doi_str_mv | 10.1088/1674-1137/35/5/001 |
| format | Article |
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However, the experimentally observed cross section for such a process is depicted by the two-fold integral, which takes into account the initial state radiative （ISR） correction and energy spread effect. Using the generalized linear regression approach, a complex energy-dependent factor is approximated by a linear function of energy. Taking advantage of this simplification, the integration of ISR correction can be performed and an analytical expression with accuracy at the level of 1% is obtained. Then, the original two-fold integral is simplified into a one-fold integral, which reduces the total computing time by two orders of magnitude. Such a simplified expression for the observed cross section usually plays an indispensable role in the optimization of scan data taking, the determination of systematic uncertainty, and the analysis of data correlation.</description><identifier>ISSN: 1674-1137</identifier><identifier>EISSN: 0254-3052</identifier><identifier>EISSN: 2058-6132</identifier><identifier>DOI: 10.1088/1674-1137/35/5/001</identifier><language>eng</language><publisher>IOP Publishing</publisher><subject>截面 ; 相对相位 ; 粲夸克偶素 ; 线性回归方法 ; 聚丙烯 ; 衰变 ; 解析表达式 ; 计算时间</subject><ispartof>Chinese physics C, 2011-05, Vol.35 (5), p.411-418</ispartof><rights>Copyright © Wanfang Data Co. Ltd. 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However, the experimentally observed cross section for such a process is depicted by the two-fold integral, which takes into account the initial state radiative （ISR） correction and energy spread effect. Using the generalized linear regression approach, a complex energy-dependent factor is approximated by a linear function of energy. Taking advantage of this simplification, the integration of ISR correction can be performed and an analytical expression with accuracy at the level of 1% is obtained. Then, the original two-fold integral is simplified into a one-fold integral, which reduces the total computing time by two orders of magnitude. Such a simplified expression for the observed cross section usually plays an indispensable role in the optimization of scan data taking, the determination of systematic uncertainty, and the analysis of data correlation.</description><subject>截面</subject><subject>相对相位</subject><subject>粲夸克偶素</subject><subject>线性回归方法</subject><subject>聚丙烯</subject><subject>衰变</subject><subject>解析表达式</subject><subject>计算时间</subject><issn>1674-1137</issn><issn>0254-3052</issn><issn>2058-6132</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNp9kLFOwzAURS0EEqXwA0xmQgwhz3EcJyNUFJAq0QFmy3HskqqNQ5xSlYkJMfMp_Aj_0C8hbQoMIKY3vHPvu-8idEjglEAc-yTioUcI5T5lPvMByBbqQMBCjwILtlHnG9hFe86NAaKw0XXQeV-6Gis7LWe1rHNbYGuwTZ2uHnWGVWWdw06r9cbYCn-8Lp_f8fLlDQ-HONNKLtw-2jFy4vTBZnbRXf_itnflDW4ur3tnA09RzmsvSDkLFMhQRZECwlgaJSxWhqksyUAnYDioNEk115LSJKYQZzxLCDOJae4o2kXHre9cFkYWIzG2s6poLoqn0XwiVACEAGteb8igJdf5K21EWeVTWS0EAbHqS6zqEKs6BGWCiVZ00opyW_7wvzhRZqZhvT_Y_7yPNoHubTF6yJvwX6qmmygIWUw_AcJIhNQ</recordid><startdate>20110501</startdate><enddate>20110501</enddate><creator>Wang, Bo-Qun (博群 王)</creator><creator>Mo, Xiao-Hu (晓虎 莫)</creator><creator>Wang, Ping (平王)</creator><creator>Ban, Yong (勇班)</creator><general>IOP Publishing</general><general>School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China</general><general>Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China%Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China%School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20110501</creationdate><title>Fast computation of observed cross section for ψ′ → PP decays</title><author>Wang, Bo-Qun (博群 王) ; Mo, Xiao-Hu (晓虎 莫) ; Wang, Ping (平王) ; Ban, Yong (勇班)</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c377t-2b752c0a4c66c0155b6958cf5cd9d0e90f70cb9be7ea3398308d7d915f9fecac3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>截面</topic><topic>相对相位</topic><topic>粲夸克偶素</topic><topic>线性回归方法</topic><topic>聚丙烯</topic><topic>衰变</topic><topic>解析表达式</topic><topic>计算时间</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wang, Bo-Qun (博群 王)</creatorcontrib><creatorcontrib>Mo, Xiao-Hu (晓虎 莫)</creatorcontrib><creatorcontrib>Wang, Ping (平王)</creatorcontrib><creatorcontrib>Ban, Yong (勇班)</creatorcontrib><collection>中文科技期刊数据库</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>中文科技期刊数据库-7.0平台</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>CrossRef</collection><collection>Wanfang Data Journals - Hong Kong</collection><collection>WANFANG Data Centre</collection><collection>Wanfang Data Journals</collection><collection>万方数据期刊 - 香港版</collection><collection>China Online Journals (COJ)</collection><collection>China Online Journals (COJ)</collection><jtitle>Chinese physics C</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wang, Bo-Qun (博群 王)</au><au>Mo, Xiao-Hu (晓虎 莫)</au><au>Wang, Ping (平王)</au><au>Ban, Yong (勇班)</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fast computation of observed cross section for ψ′ → PP decays</atitle><jtitle>Chinese physics C</jtitle><addtitle>Chinese Physica C</addtitle><date>2011-05-01</date><risdate>2011</risdate><volume>35</volume><issue>5</issue><spage>411</spage><epage>418</epage><pages>411-418</pages><issn>1674-1137</issn><eissn>0254-3052</eissn><eissn>2058-6132</eissn><abstract>It has been conjectured that the relative phase between strong and electromagnetic amplitudes is universally -90° in charmonium decays. ψ′ decaying into a pseudoscalar pair provides a possibility to test this conjecture. However, the experimentally observed cross section for such a process is depicted by the two-fold integral, which takes into account the initial state radiative （ISR） correction and energy spread effect. Using the generalized linear regression approach, a complex energy-dependent factor is approximated by a linear function of energy. Taking advantage of this simplification, the integration of ISR correction can be performed and an analytical expression with accuracy at the level of 1% is obtained. Then, the original two-fold integral is simplified into a one-fold integral, which reduces the total computing time by two orders of magnitude. Such a simplified expression for the observed cross section usually plays an indispensable role in the optimization of scan data taking, the determination of systematic uncertainty, and the analysis of data correlation.</abstract><pub>IOP Publishing</pub><doi>10.1088/1674-1137/35/5/001</doi><tpages>8</tpages></addata></record> |
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| ispartof | Chinese physics C, 2011-05, Vol.35 (5), p.411-418 |
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| language | eng |
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| source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link; Alma/SFX Local Collection |
| subjects | 截面 相对相位 粲夸克偶素 线性回归方法 聚丙烯 衰变 解析表达式 计算时间 |
| title | Fast computation of observed cross section for ψ′ → PP decays |
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