Neutrino-jet correlations in charged-current SIDIS

Charged-current deep inelastic scattering plays a significant role in determining parton distribution functions with flavor separation. In this work, we present a systematic calculation of the charged-current semi-inclusive deep inelastic scattering (SIDIS) in the <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mi>e</a:mi><a:mi>N</a:mi></a:math> collinear frame up to twist-3 level at leading order. Semi-inclusive refers to the process in which a jet is detected in addition to the scattered neutrino. We focus on neutrino-jet correlations in our calculation. We first present the differential cross section in terms of structure functions, followed by the differential cross section expressed in term of transverse momentum dependent parton distribution functions. We derive the complete set of azimuthal asymmetries and intrinsic asymmetries. We also introduce an observable <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msup><c:mi>A</c:mi><c:mi>C</c:mi></c:msup></c:math>, defined as the ratio of the difference from the sum of differential cross sections for electron and positron semi-inclusive deep inelastic scattering. We notice that <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msup><e:mi>A</e:mi><e:mi>C</e:mi></e:msup></e:math> provides a sensitive probe for valence and sea quark distribution functions.