Fourier-positivity constraints on QCD dipole models

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• 作者：Bertrand G. Giraud ^{bertrand.giraud@cea.fr" class="auth_mail" title="E-mail the corresponding author} ; Robi Peschanski ; ^{robi.peschanski@cea.fr" class="auth_mail" title="E-mail the corresponding author}
• 刊名：Physics Letters B
• 出版年：2016
• 出版时间：10 September 2016
• 年：2016
• 卷：760
• 期：Complete
• 页码：26-30
• 全文大小：323 K

文摘

Fourier-positivity (g" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316302866&_mathId=si1.gif&_user=111111111&_pii=S0370269316302866&_rdoc=1&_issn=03702693&md5=dcb59415e3f30ce4b0fbe8aeabc32324" title="Click to view the MathML source">Fgif" overflow="scroll">F-positivity), i.e. the mathematical property that a function has a positive Fourier transform, can be used as a constraint on the parametrization of QCD dipole-target cross-sections or Wilson line correlators in transverse position space r  . They are Bessel transforms of positive transverse momentum dependent gluon distributions. Using mathematical g" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316302866&_mathId=si1.gif&_user=111111111&_pii=S0370269316302866&_rdoc=1&_issn=03702693&md5=dcb59415e3f30ce4b0fbe8aeabc32324" title="Click to view the MathML source">Fgif" overflow="scroll">F-positivity constraints on the limit g" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316302866&_mathId=si2.gif&_user=111111111&_pii=S0370269316302866&_rdoc=1&_issn=03702693&md5=ee3bfbed9e225e31131197296c0602fe" title="Click to view the MathML source">r→0gif" overflow="scroll">r→0 behavior of the dipole amplitudes, we identify the common origin of the violation of g" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316302866&_mathId=si1.gif&_user=111111111&_pii=S0370269316302866&_rdoc=1&_issn=03702693&md5=dcb59415e3f30ce4b0fbe8aeabc32324" title="Click to view the MathML source">Fgif" overflow="scroll">F-positivity for various, however phenomenologically convenient, dipole models. It is due to the behavior g" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316302866&_mathId=si3.gif&_user=111111111&_pii=S0370269316302866&_rdoc=1&_issn=03702693&md5=6f8f2f159532b7c06b7444316f536e11" title="Click to view the MathML source">r^2+ϵgif" overflow="scroll">r2+ϵ, g" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316302866&_mathId=si4.gif&_user=111111111&_pii=S0370269316302866&_rdoc=1&_issn=03702693&md5=69a3445eaf6f750835d63f3edb102cbe" title="Click to view the MathML source">ϵ>0gif" overflow="scroll">ϵ>0 softer, even slightly, than color transparency. g" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316302866&_mathId=si1.gif&_user=111111111&_pii=S0370269316302866&_rdoc=1&_issn=03702693&md5=dcb59415e3f30ce4b0fbe8aeabc32324" title="Click to view the MathML source">Fgif" overflow="scroll">F-positivity seems thus to conflict with the present dipole formalism when it includes a QCD running coupling constant g" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316302866&_mathId=si5.gif&_user=111111111&_pii=S0370269316302866&_rdoc=1&_issn=03702693&md5=d452a1e27908a3de412f589f00712793" title="Click to view the MathML source">α(r)gif" overflow="scroll">α(r).