SuppressedB→PVCPasymmetry:CPTconstraint

Abstract

Charge Parity asymmetry in charmless B meson decays is a key issue to be understood. Many theoretical calculations have been performed using short distance factorization approaches which, in general, do not take into account the CPT invariance constraint. For each channel with CP violation there is an equal amount of CP asymmetry in another channel or other channels, with an opposite sign. This happens if these channels are coupled through final state interactions (FSI). In the specific process B → P V , involving one pseudo-scalar and one vector particle in the final state, we argue that the CP asymmetry, inherent from a short distance mechanism, could be suppressed due to the CPT constraint. In this case, we propose a sensitive and practical experimental method to identify even a small CP asymmetry, which provides the values for A CP without the need for an amplitude analysis. This method, if applied directly to data, will enable to extract the CP asymmetry information in a model independent way and check to which extend the suggested suppression due to the CPT constraint is verified. * pmagalhaes@cbpf.br

CP violation in multibody B decays from QCD factorization

“…This is because A CP in eq. (4.3) is only generated by a vector-scalar interference, which always comes with a cos θ π term, and hence the CP asymmetry always switches sign when comparing cos θ > 0 and cos θ < 0 (see also [35][36][37] for an elaborate discussion on these issues). However, if the CP asymmetry were dominated by two S or S-D wave interferences, the CP asymmetry would not switch sign, which could be an explanation for the behaviour in this region.…”

Remarks on a compact Abelian Higgs model

“…Curiously, it should be noted that this dual theory is analogous to a superconducting vortex strings [10]. Mention should be made, at this point, to an equivalent condensed matter picture from the above studies, where the vortex lines play the role of magnetic monopoles [9].…”

“…For instance, recently a topological field theory description of (1 + 3)-D topological superconductors has been discussed [8]. In this work, the topological superconductor is described through a topological coupling between the electromagnetic field and the superconducting phase fluctuation, in much the same way as the coupling of axions with an Abelian gauge field.Most recently, it has been shown that a compact Abelian Higgs model with a θ-term in (1 + 3)-D may be considered as an effective field theory for a topological Mott insulator [9]. Interestingly, it was also shown that this effective theory is dual to an axionic superconductor model [3], which contains both particle and vortex degrees of freedom.…”

“…Most recently, it has been shown that a compact Abelian Higgs model with a θ-term in (1 + 3)-D may be considered as an effective field theory for a topological Mott insulator [9]. Interestingly, it was also shown that this effective theory is dual to an axionic superconductor model [3], which contains both particle and vortex degrees of freedom.…”

“…We commence our considerations with a short presentation of the model under study (a compact Abelian Higgs model with a θ-term) in (3 + 1) space-time dimensions. The model is characterized by the Lagrangian density (in Euclidean space-time) [9]:…”