Model Independent Tests for Time Reversal and CP Violations and for CPT Theorem in \Lambda_b and \bar\Lambda_b Two Body Decays

TL;DR

This paper proposes a model-independent method using spin density matrices to test time reversal, CP, and CPT symmetries in weak decays of beauty baryons, providing new ways to detect fundamental symmetry violations.

Contribution

It introduces a novel, model-independent parametrization of angular distributions and polarization in \\Lambda_b decays, enabling symmetry violation tests without relying on specific decay models.

Findings

Defines CP, T, and CPT-sensitive observables based on polarization measurements.

Provides a framework for experimental tests of fundamental symmetries in baryon decays.

Enhances the ability to detect symmetry violations in weak decay processes.

Abstract

Weak decays of beauty baryons like \Lambda_b (\bar\Lambda_b) into \Lambda (\bar\Lambda) and V (J^P = 1^-), where both decay products are polarized, offer interesting opportunities to perform tests of time reversal and CP violations and of CPT invariance. We propose a model independent parametrization of the angular distribution and of the polarization of the final resonances, by means of the spin density matrix. The transverse component of the polarization is sensitive to time reversal violations, moreover CP-and CPT-sensitive observables are defined.