Pole decomposition of BFKL eigenvalue at zero conformal spin and the real part of digamma function
We consider the powers of leading order eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation at zero conformal spin. Using reflection identities of harmonic sums we demonstrate how involved generalized polygamma functions are introduced by pole separation of a rather simple digamma functi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-01-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269323006536 |
| _version_ | 1797363845569708032 |
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| author | Mohammad Joubat Claudelle Capasia Madjuogang Sandeu Alex Prygarin |
| author_facet | Mohammad Joubat Claudelle Capasia Madjuogang Sandeu Alex Prygarin |
| author_sort | Mohammad Joubat |
| collection | DOAJ |
| description | We consider the powers of leading order eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation at zero conformal spin. Using reflection identities of harmonic sums we demonstrate how involved generalized polygamma functions are introduced by pole separation of a rather simple digamma function. This generates higher weight generalized polygamma functions at any given order of perturbative expansion. As a byproduct of our analysis we develop a general technique for calculating powers of the real part of digamma function in a pole separated form. |
| first_indexed | 2024-03-08T16:26:49Z |
| format | Article |
| id | doaj.art-f6ffaa452b9f42faad83f53597cc72ea |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-03-08T16:26:49Z |
| publishDate | 2024-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-f6ffaa452b9f42faad83f53597cc72ea2024-01-07T04:27:08ZengElsevierPhysics Letters B0370-26932024-01-01848138319Pole decomposition of BFKL eigenvalue at zero conformal spin and the real part of digamma functionMohammad Joubat0Claudelle Capasia Madjuogang Sandeu1Alex Prygarin2Department of Mathematics, Ariel University, Ariel 40700, IsraelDepartment of Physics, Ariel University, Ariel 40700, IsraelDepartment of Physics, Ariel University, Ariel 40700, Israel; Corresponding author.We consider the powers of leading order eigenvalue of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation at zero conformal spin. Using reflection identities of harmonic sums we demonstrate how involved generalized polygamma functions are introduced by pole separation of a rather simple digamma function. This generates higher weight generalized polygamma functions at any given order of perturbative expansion. As a byproduct of our analysis we develop a general technique for calculating powers of the real part of digamma function in a pole separated form.http://www.sciencedirect.com/science/article/pii/S0370269323006536 |
| spellingShingle | Mohammad Joubat Claudelle Capasia Madjuogang Sandeu Alex Prygarin Pole decomposition of BFKL eigenvalue at zero conformal spin and the real part of digamma function Physics Letters B |
| title | Pole decomposition of BFKL eigenvalue at zero conformal spin and the real part of digamma function |
| title_full | Pole decomposition of BFKL eigenvalue at zero conformal spin and the real part of digamma function |
| title_fullStr | Pole decomposition of BFKL eigenvalue at zero conformal spin and the real part of digamma function |
| title_full_unstemmed | Pole decomposition of BFKL eigenvalue at zero conformal spin and the real part of digamma function |
| title_short | Pole decomposition of BFKL eigenvalue at zero conformal spin and the real part of digamma function |
| title_sort | pole decomposition of bfkl eigenvalue at zero conformal spin and the real part of digamma function |
| url | http://www.sciencedirect.com/science/article/pii/S0370269323006536 |
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