A bstract Feynman integrals with generic propagator powers in one and two spacetime dimensions are investigated from various perspectives. In particular, we argue that the class of track integrals with massless propagators at any loop order is fixed by the recently found P^\hat{\textrm{P}} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> mml:mover mml:miP</mml:mi> mml:mô</mml:mo> </mml:mover> </mml:math> -symmetries of Yangian type. All track integrals up to six external poin