Asymmetric jet shapes with two-dimensional jet tomography

Two-dimensional (2D) jet tomography is a promising tool to study jet medium modification in high-energy heavy-ion collisions. It combines gradient (transverse) and longitudinal jet tomography for selection of events with localized initial jet production positions. It exploits the transverse asymmetry and energy loss that depend, respectively, on the transverse gradient and jet path length inside the quark-gluon plasma (QGP). In this study, we employ 2D jet tomography to study medium modification of the jet shape of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mi>γ</a:mi></a:math>-triggered jets within the linear Boltzmann transport (LBT) model for jet propagation in heavy-ion collisions. Our results show that jets with small transverse asymmetry (<b:math xmlns:b="http://www.w3.org/1998/Math/MathML"><b:msubsup><b:mi>A</b:mi><b:mi>N</b:mi><b:mover accent="true"><b:mi>n</b:mi><b:mo>⃗</b:mo></b:mover></b:msubsup></b:math>) or small <d:math xmlns:d="http://www.w3.org/1998/Math/MathML"><d:mi>γ</d:mi></d:math>-jet asymmetry (<e:math xmlns:e="http://www.w3.org/1998/Math/MathML"><e:mrow><e:msub><e:mi>x</e:mi><e:mrow><e:mi>J</e:mi><e:mi>γ</e:mi></e:mrow></e:msub><e:mo>=</e:mo><e:msubsup><e:mi>p</e:mi><e:mi>T</e:mi><e:mi>jet</e:mi></e:msubsup><e:mo>/</e:mo><e:msubsup><e:mi>p</e:mi><e:mi>T</e:mi><e:mi>γ</e:mi></e:msubsup></e:mrow></e:math>) exhibit a broader jet shape than those with larger <f:math xmlns:f="http://www.w3.org/1998/Math/MathML"><f:msubsup><f:mi>A</f:mi><f:mi>N</f:mi><f:mover accent="true"><f:mi>n</f:mi><f:mo>⃗</f:mo></f:mover></f:msubsup></f:math> or <h:math xmlns:h="http://www.w3.org/1998/Math/MathML"><h:msub><h:mi>x</h:mi><h:mrow><h:mi>J</h:mi><h:mi>γ</h:mi></h:mrow></h:msub></h:math>, since the former are produced at the center and go through longer path lengths while the later are off center and close to the surface of the QGP fireball. In events with finite values of <i:math xmlns:i="http://www.w3.org/1998/Math/MathML"><i:msubsup><i:mi>A</i:mi><i:mi>N</i:mi><i:mover accent="true"><i:mi>n</i:mi><i:mo>⃗</i:mo></i:mover></i:msubsup></i:math>, jet shapes are asymmetric with respect to the event plane. Hard partons at the core of the jet are deflected away from the denser region while soft partons from the medium response at large angles flow toward the denser part of QGP. Future experimental measurements of these asymmetric features of the jet shape can be used to study the transport properties of jets and medium responses.