2020/07/31 by Anirban Karan
Physics and Astronomy · #B meson #CP violation #Formalism (music) #Meson #Mixing (physics) #Neutrino Physics Research #Noncommutative and Quantum Gravity Theories #Observable #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #hep-ph
paper · pdf · doi:10.1140/epjc/s10052-020-8297-8
published as Eur. Phys. J. C 80, 782 (2020) · 28 pages
openalex publication_date 2020/08/01 · arxiv created 2020/08/30 · arxiv updated 2020/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Abstract A large number of observables can be constructed from differential decay rate based on the polarization of final state while considering decay of a neutral meson (P0 \text or P0) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo>(</mml:mo><mml:msup><mml:mi>P</mml:mi><mml:mn>0</mml:mn></mml:msup><mml:mspace /><mml:mtext>or</mml:mtext><mml:mspace /><mml:msup><mml:mrow><mml:mover><mml:mrow><mml:mi>P</mml:mi></mml:mrow><mml:mrow><mml:mo>¯</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mn>0</mml:mn></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math> to two vector particles. But all of these observables are not independent to each other since there are only a few independent theoretical parameters controlling the whole dynamics and therefore various relations among observables emerge. In this paper, we have studied the behaviour of observables for neutral meson decaying to two vectors in presence of T <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>T</mml:mi></mml:math> and C P T <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>C</mml:mi><mml:mspace /><mml:mi>P</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math> violations in mixing accompanied by both direct and indirect C P <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>C</mml:mi><mml:mspace /><mml:mi>P</mml:mi></mml:mrow></mml:math> violations. We have expressed all of the fourteen unknown theoretical parameters for this scenario in terms observables only and constructed the complete set of thirty four relations among observables whose violation would signify the existence of some new Physics involving direct violation of C P T <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>C</mml:mi><mml:mspace /><mml:mi>P</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math> . In addition, using this formalism we have studied three special cases too: (a) SM scenario, (b) SM plus direct C P <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>C</mml:mi><mml:mspace /><mml:mi>P</mml:mi></mml:mrow></mml:math> violation (c) SM plus T <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>T</mml:mi></mml:math> and C P T <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>C</mml:mi><mml:mspace /><mml:mi>P</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:math> violation in mixing.