Sudakov double logs in single-inclusive hadron production in DIS at small <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>x</mml:mi></mml:math> from the color glass condensate formalism

We investigate the high <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:msup><a:mi>Q</a:mi><a:mn>2</a:mn></a:msup></a:math> (photon virtuality) limit of single-inclusive hadron production in deep inelastic scattering at small <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mi>x</c:mi></c:math>, using the color glass condensate formalism at next-to-leading order. We focus on the <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msubsup><e:mi mathvariant="normal">Λ</e:mi><e:mrow><e:mi>QCD</e:mi></e:mrow><e:mn>2</e:mn></e:msubsup><e:mo>≪</e:mo><e:msubsup><e:mi mathvariant="bold">p</e:mi><e:mi>h</e:mi><e:mn>2</e:mn></e:msubsup><e:mo>≪</e:mo><e:msup><e:mi>Q</e:mi><e:mn>2</e:mn></e:msup></e:math> kinematic regime, where <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:msub><i:mi mathvariant="bold">p</i:mi><i:mi>h</i:mi></i:msub></i:math> is the produced hadron transverse momentum, and extract the Sudakov double logarithms. We further argue that compatibility between the color glass condensate calculation and transverse momentum dependent distribution factorization at one-loop order can only be achieved if the small-x evolution is kinematically constrained. Published by the American Physical Society 2024