Testing Supersymmetry by Means of Time Reversal Invariance

Abstract

The minimal supersymmetric extension of the standard model allows for some of the coupling strengths to be complex parameters. The presence of such imaginary phases can lead to violations of time reversal invariance, which can be tested if correlations in products of an odd number of polarizations and momenta are measured and found to be different from zero. As an example, we consider the triple product $\mbox{\bf J} \cdot \left(\mbox{\bf p}_1 \times \mbox{\bf p}_ {2} \right)$ in the $\beta$-decay of the neutron, of the ${\Sigma }^{-}$, and in the decay $K_{3\mu }^{+}$. For these low-energy decays, we find that the present experimental precision is not enough to provide useful bounds on combinations of such phases and the masses of the supersymmetric particles. At higher energies, the same time reversal violating correlation in the semileptonic decay of the $t$ quark is of the order of ${\alpha }_s/\pi$, made bigger by the large mass of the decaying quark.

12 pages (2 figures, not included), CERN-TH.6688/92

References in corpus (1)

• Bounds on Microscopic Physics from P and T Violation in Atoms and Molecules

Cited by in corpus (20)

• Probing exotic phenomena at the interface of nuclear and particle physics with the electric dipole moments of diamagnetic atoms: A unique window to hadronic and semi-leptonic CP violation
• The Hunt for New Physics at the Large Hadron Collider
• Constraints on supersymmetric soft phases from renormalization group relations
• Top Dipole Form Factors and Loop-induced CP-violation in Supersymmetry
• New Limit on the D Coefficient in Polarized Neutron Decay
• The Decay Rate Asymmetry of the Top Quark
• CP-violating asymmetries in top-quark production and decay in $e^{+}{e}^{-}$ annihilation within the MSSM
• Supersymmetric Time Reversal Violation in Semileptonic Decays of Charged Mesons
• A CP sensitive asymmetry in the three--body decay stop_1 -> b tau+ tau-sneutrino
• CP violating angular asymmetries of b and bbar quarks in e+e- -> t tbar
• Polarization Measurements and T-Violation in Exclusive Semileptonic B Decays
• The supersymmetric prediction for the muon transverse polarization in the $K^{+}\leftarrow {\pi }^0{\mu }^{+}{\nu }_{\mu }$ decay
• T Violation Induced by Supersymmetry in t\bar{t} and W^+W^- Physics
• T-Violation in $K^{+}\to {\mu }^{+}\nu \gamma$ Decay And Supersymmetry
• CP violation in e+e- -> t tbar: Energy Asymmetries and Optimal Observables of b and bbar Quarks
• CP violating asymmetries of b quarks and leptons in e^+e^- \to t\bar t and supersymmetry (review)
• Complete 1-Loop Calculation of the T-violating D-Parameter in Neutron Decay in the MSSM
• Testing Time Reversal Invariance in Exclusive Semileptonic B Meson Decays
• R-parity violating supersymmetric contributions to the neutron beta decay at the one-loop level
• T-odd Observables in Elastic Scattering, in Deep Inelastic Processes and in Weak Decays