Helicity correlation of dihadron in current and target fragmentation regions of unpolarized SIDIS

We study the helicity correlation of two <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>Λ</mml:mi></mml:math> hyperons produced in unpolarized semi-inclusive deep inelastic scatterings (SIDIS), with one hyperon detected in the current fragmentation region and the other in the target fragmentation region. This observable provides direct access to the spin-dependent fragmentation function <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>G</mml:mi> <mml:mrow><mml:mn>1</mml:mn> <mml:mi>L</mml:mi> <mml:mi>q</mml:mi></mml:mrow> </mml:msub> </mml:math> and the spin-dependent fracture function <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msubsup><mml:mi>l</mml:mi> <mml:mrow><mml:mn>1</mml:mn> <mml:mi>q</mml:mi></mml:mrow> <mml:mi>L</mml:mi></mml:msubsup> </mml:math> even in unpolarized lepton nucleon collisions. Utilizing the perturbative matching of the fracture function, we present numerical predictions for the helicity correlation, revealing significant variations with flavor and kinematic regions. This observable offers a unique way to investigate the spin-dependent hadronization mechanism across both the current and target fragmentation regions. It also provides new insights into the spin transfer effects in SIDIS processes.