Topological production of charmonia with event-shape engineering in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi>p</mml:mi> <mml:mi>p</mml:mi> </mml:math> collisions at <mml:math xmlns:mml="http://www.w3.org/1998

The production of heavy quarks (charm and beauty) in high-energy hadronic and nuclear collisions provides an excellent testing ground for the theory of strong interactions and validates models based on quantum chromodynamics (QCD). In this work, prompt and nonprompt production of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mrow> <a:mi mathvariant="normal">J</a:mi> <a:mo>/</a:mo> </a:mrow> <a:mi>ψ</a:mi> </a:math> in <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"> <d:mi>p</d:mi> <d:mi>p</d:mi> </d:math> collisions at <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"> <f:msqrt> <f:mi>s</f:mi> </f:msqrt> <f:mo>=</f:mo> <f:mn>13</f:mn> <f:mtext> </f:mtext> <f:mtext> </f:mtext> <f:mi>TeV</f:mi> </f:math> are studied as a function of the transverse spherocity using 8. <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"> <h:mrow> <h:mi mathvariant="normal">J</h:mi> <h:mo>/</h:mo> </h:mrow> <h:mi>ψ</h:mi> </h:math> is reconstructed via its electromagnetic decay to dielectrons and dimuons, in mid- and forward rapidity, respectively. Transverse spherocity, an event-shape observable, is used to distinguish hard-QCD events from the softer, isotropic ones. In 8, the production of <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"> <k:mrow> <k:mi mathvariant="normal">J</k:mi> <k:mo>/</k:mo> </k:mrow> <k:mi>ψ</k:mi> </k:math> can be influenced by the average number of multiple parton interactions ( <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"> <n:mo stretchy="false">⟨</n:mo> <n:msub> <n:mi>N</n:mi> <n:mrow> <n:mi>mpi</n:mi> </n:mrow> </n:msub> <n:mo stretchy="false">⟩</n:mo> </n:math> ), owing to the underlying events, which have a dominant contribution to particle production at lower transverse momentum. Since transverse spherocity is correlated to <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"> <r:mo stretchy="false">⟨</r:mo> <r:msub> <r:mi>N</r:mi> <r:mrow> <r:mi>mpi</r:mi> </r:mrow> </r:msub> <r:mo stretchy="false">⟩</r:mo> </r:math> , this can serve as an experimentally accessible tool for event selection to study the underlying QCD processes influencing the prompt and nonprompt <v:math xmlns:v="http://www.w3.org/1998/Math/MathML" display="inline"> <v:mrow> <v:mi mathvariant="normal">J</v:mi> <v:mo>/</v:mo> </v:mrow> <v:mi>ψ</v:mi> </v:math> production. This study reveals the correlation between heavy-flavor production dynamics and topological event selection in <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"> <y:mi>p</y:mi> <y:mi>p</y:mi> </y:math> collisions using 8, whose relevance awaits experimental validation.