Biswas, A., Sinha, N., & Abbas, G. (2015). Nonleptonic decays of charmed mesons into two pseudoscalars. Phys. Rev. D, 92(1), 014032–16pp.
Abstract: We examine the role of resonant coupled channel final state interactions (FSIs), as well as weak annihilation and exchange contributions, in explaining all the two-body hadronic D -> PP decay modes. In the un-unitarized amplitudes we include modified Wilson coefficients with nonfactorizable corrections as parameters. For the hadronic form factors, the z-series expansion method is used to get the q(2) dependence. The FSI effects are incorporated via a phenomenological approach with widths of resonances to various channels taken from observations where available, and others as additional parameters to be determined from fits of all the theoretical rates to the measured ones. Our results for the rather hard to explain D-0 -> K+K-, pi(+)pi(-) are in agreement with measured values. We demonstrate that both weak exchange and FSI effects are required to get the correct branching ratio for the D-0 -> K-0(K) over bar (0) mode. Using our unitarized amplitudes we evaluate the strong phase difference between the amplitudes for D-0 -> K-pi(+) and D-0 -> K+pi(-) and find it to be in complete agreement with the recent BES III result.
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Abbas, G., Abyaneh, M. Z., Biswas, A., Gupta, S., Patra, M., Rajasekaran, G., et al. (2016). High scale mixing relations as a natural explanation for large neutrino mixing. Int. J. Mod. Phys. A, 31(17), 1650095–47pp.
Abstract: The origin of small mixing among the quarks and a large mixing among the neutrinos has been an open question in particle physics. In order to answer this question, we postulate general relations among the quarks and the leptonic mixing angles at a high scale, which could be the scale of Grand Unified Theories. The central idea of these relations is that the quark and the leptonic mixing angles can be unified at some high scale either due to some quark lepton symmetry or some other underlying mechanism and as a consequence, the mixing angles of the leptonic sector are proportional to that of the quark sector. We investigate the phenomenology of the possible relations where the leptonic mixing angles are proportional to the quark mixing angles at the unification scale by taking into account the latest experimental constraints from the neutrino sector. These relations are able to explain the pattern of leptonic mixing at the low scale and thereby hint that these relations could be possible signatures of a quark lepton symmetry or some other underlying quark lepton mixing unification mechanism at some high scale linked to Grand Unified Theories.
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