Extracting the QCD Cutoff Parameter Using the Bernstein Polynomials and the Truncated Moments
Since there are not experimental data over the whole range of x-Bjorken variable, that is, 0<x<1, we are inevitable in practice to do the integration for Mellin moments over the available range of experimental data. Among the methods of analysing DIS data, there are the methods based on applic...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/304369 |
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| author | A. Mirjalili M. M. Yazdanpanah Z. Moradi |
| author_facet | A. Mirjalili M. M. Yazdanpanah Z. Moradi |
| author_sort | A. Mirjalili |
| collection | DOAJ |
| description | Since there are not experimental data over the whole range of x-Bjorken variable, that is, 0<x<1, we are inevitable in practice to do the integration for Mellin moments over the available range of experimental data. Among the methods of analysing DIS data, there are the methods based on application of Mellin moments. We use the truncated Mellin moments rather than the usual moments to analyse the EMC collaboration data for muon-nucleon and WA25 data for neutrino-deuterium DIS scattering. How to connect the truncated Mellin moments to usual ones is discussed. Following that we combine the truncated Mellin moments with the Bernstein polynomials. As a result, Bernstein averages which are related to different orders of the truncated Mellin moment are obtained. These averaged quantities can be considered as the constructed experimental data. By accessing the sufficient experimental data we can do the fitting more precisely. We do the fitting at leading order and next-to-leading order approximations to extract the QCD cutoff parameter. The results are in good agreement with what is being expected. |
| format | Article |
| id | doaj-art-1684307b8e7f4a1e8b8eda0761078973 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-1684307b8e7f4a1e8b8eda07610789732025-02-03T06:07:02ZengWileyAdvances in High Energy Physics1687-73571687-73652014-01-01201410.1155/2014/304369304369Extracting the QCD Cutoff Parameter Using the Bernstein Polynomials and the Truncated MomentsA. Mirjalili0M. M. Yazdanpanah1Z. Moradi2Physics Department, Yazd University, P.O. Box 89195-741, Yazd, IranFaculty of Physics, Shahid Bahonar University of Kerman, Kerman, IranPhysics Department, Yazd University, P.O. Box 89195-741, Yazd, IranSince there are not experimental data over the whole range of x-Bjorken variable, that is, 0<x<1, we are inevitable in practice to do the integration for Mellin moments over the available range of experimental data. Among the methods of analysing DIS data, there are the methods based on application of Mellin moments. We use the truncated Mellin moments rather than the usual moments to analyse the EMC collaboration data for muon-nucleon and WA25 data for neutrino-deuterium DIS scattering. How to connect the truncated Mellin moments to usual ones is discussed. Following that we combine the truncated Mellin moments with the Bernstein polynomials. As a result, Bernstein averages which are related to different orders of the truncated Mellin moment are obtained. These averaged quantities can be considered as the constructed experimental data. By accessing the sufficient experimental data we can do the fitting more precisely. We do the fitting at leading order and next-to-leading order approximations to extract the QCD cutoff parameter. The results are in good agreement with what is being expected.http://dx.doi.org/10.1155/2014/304369 |
| spellingShingle | A. Mirjalili M. M. Yazdanpanah Z. Moradi Extracting the QCD Cutoff Parameter Using the Bernstein Polynomials and the Truncated Moments Advances in High Energy Physics |
| title | Extracting the QCD Cutoff Parameter Using the Bernstein Polynomials and the Truncated Moments |
| title_full | Extracting the QCD Cutoff Parameter Using the Bernstein Polynomials and the Truncated Moments |
| title_fullStr | Extracting the QCD Cutoff Parameter Using the Bernstein Polynomials and the Truncated Moments |
| title_full_unstemmed | Extracting the QCD Cutoff Parameter Using the Bernstein Polynomials and the Truncated Moments |
| title_short | Extracting the QCD Cutoff Parameter Using the Bernstein Polynomials and the Truncated Moments |
| title_sort | extracting the qcd cutoff parameter using the bernstein polynomials and the truncated moments |
| url | http://dx.doi.org/10.1155/2014/304369 |
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