The proton F_L dipole approximation in the KMR and the MRW unintegrated parton distribution functions frameworks

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• 作者：M. Modarres^a ; ^{mmodares@ut.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; M.R. Masouminia^a ; H. Hosseinkhani^b ; N. Olanj^c
• 关键词：Unintegrated parton distribution functions ; Longitudinal structure function ; Dipole approximation ; DGLAP equations ; CCFM equations ; ktkt-factorization
• 刊名：Nuclear Physics A
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：945
• 期：Complete
• 页码：168-185
• 全文大小：711 K

文摘

In the spirit of performing a complete phenomenological investigation of the merits of Kimber–Martin–Ryskin (KMR) and Martin–Ryskin–Watt (MRW) unintegrated parton distribution functions (UPDF  ), we have computed the longitudinal structure function of the proton, hmlsrc">hImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947415002298&_mathId=si1.gif&_user=111111111&_pii=S0375947415002298&_rdoc=1&_issn=03759474&md5=12f34065d4cad255010a55b72e4f7ab1" title="Click to view the MathML source">F_L(x,Q²)hContainer hidden">hCode">h altimg="si1.gif" overflow="scroll">FLhy="false">(x,Q2hy="false">)h>, from the so-called dipole approximation, using the LO and the NLO-UPDF, prepared in the respective frameworks. The preparation process utilizes the PDF of Martin et al., MSTW2008-LO and MSTW2008-NLO  , as the inputs. Afterwards, the numerical results are undergone a series of comparisons against the exact hmlsrc">hImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947415002298&_mathId=si2.gif&_user=111111111&_pii=S0375947415002298&_rdoc=1&_issn=03759474&md5=a584136bd8380b77f0e6b6c88eb47a6a" title="Click to view the MathML source">k_thContainer hidden">hCode">h altimg="si2.gif" overflow="scroll">kth>-factorization and the hmlsrc">hImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947415002298&_mathId=si2.gif&_user=111111111&_pii=S0375947415002298&_rdoc=1&_issn=03759474&md5=a584136bd8380b77f0e6b6c88eb47a6a" title="Click to view the MathML source">k_thContainer hidden">hCode">h altimg="si2.gif" overflow="scroll">kth>-approximate results, derived from the work of Golec-Biernat and Stasto, against each other and the experimental data from ZEUS and H1 Collaborations at HERA  . Interestingly, our results show a much better agreement with the exact hmlsrc">hImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947415002298&_mathId=si2.gif&_user=111111111&_pii=S0375947415002298&_rdoc=1&_issn=03759474&md5=a584136bd8380b77f0e6b6c88eb47a6a" title="Click to view the MathML source">k_thContainer hidden">hCode">h altimg="si2.gif" overflow="scroll">kth>-factorization, compared to the hmlsrc">hImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947415002298&_mathId=si2.gif&_user=111111111&_pii=S0375947415002298&_rdoc=1&_issn=03759474&md5=a584136bd8380b77f0e6b6c88eb47a6a" title="Click to view the MathML source">k_thContainer hidden">hCode">h altimg="si2.gif" overflow="scroll">kth>-approximate outcome. In addition, our results are completely consistent with those prepared from embedding the KMR and MRW UPDF   directly into the hmlsrc">hImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947415002298&_mathId=si2.gif&_user=111111111&_pii=S0375947415002298&_rdoc=1&_issn=03759474&md5=a584136bd8380b77f0e6b6c88eb47a6a" title="Click to view the MathML source">k_thContainer hidden">hCode">h altimg="si2.gif" overflow="scroll">kth>-factorization framework. One may point out that the hmlsrc">hImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947415002298&_mathId=si3.gif&_user=111111111&_pii=S0375947415002298&_rdoc=1&_issn=03759474&md5=b5d4167ae74c9e5a999d9bdc080f2a7a" title="Click to view the MathML source">F_LhContainer hidden">hCode">h altimg="si3.gif" overflow="scroll">FLh>, prepared from the KMR UPDF   shows a better agreement with the exact hmlsrc">hImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947415002298&_mathId=si2.gif&_user=111111111&_pii=S0375947415002298&_rdoc=1&_issn=03759474&md5=a584136bd8380b77f0e6b6c88eb47a6a" title="Click to view the MathML source">k_thContainer hidden">hCode">h altimg="si2.gif" overflow="scroll">kth>-factorization. This is despite the fact that the MRW formalism employs a better theoretical description of the DGLAP evolution equation and has an NLO expansion. Such unexpected consequence appears, due to the different implementation of the angular ordering constraint in the KMR   approach, which automatically includes the resummation of hmlsrc">hImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0375947415002298&_mathId=si4.gif&_user=111111111&_pii=S0375947415002298&_rdoc=1&_issn=03759474&md5=e7500dcceeb121cb3c43e41967605b1e" title="Click to view the MathML source">ln⁡(1/x)hContainer hidden">hCode">h altimg="si4.gif" overflow="scroll">hvariant="normal">ln⁡hy="false">(1hy="false">/xhy="false">)h>, BFKL logarithms, in the LO-DGLAP evolution equation.