Resolving the polarization puzzles in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">→</mml:mo><mml:mi>V</mml:mi><mml:mi>V</mml:mi></mml:mrow></mml:math>

Abstract

We carry out a systematic analysis of the Cabibbo-favored and singly-Cabibbo-suppressed decays of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:msup><a:mrow><a:mi>D</a:mi></a:mrow><a:mrow><a:mn>0</a:mn></a:mrow></a:msup><a:mo stretchy="false">→</a:mo><a:mi>V</a:mi><a:mi>V</a:mi></a:mrow></a:math>, and demonstrate that the long-distance mechanism due to the final-state interactions can provide a natural explanation for these mysterious polarization puzzles observed in <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"><d:msup><d:mi>D</d:mi><d:mn>0</d:mn></d:msup><d:mo stretchy="false">→</d:mo><d:mi>V</d:mi><d:mi>V</d:mi></d:math> in experiments. More observables, which can be measured at BESIII, and possibly at LHCb, are also suggested. Published by the American Physical Society 2024

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