We present a calculation of the weak mixing angle in the MS renormalization scheme which is relevant for experiments performed at very low energies or momentum transfers. We include higher orders in the perturbative QCD expansion, as well as updated phenomenological and theoretical input, and obtain the result sin 2θ W (0) = 0.23868(5)(2) for the reference valuesα s (M Z ) = 0.1182 andm c (m c ) = 1.272 GeV. The first quoted error is from the current Standard Model evaluation of the mixing angle at the Z boson mass scale. The second error represents the theoretical and parametric uncertainties induced by the evolution to the Thomson limit and is discussed in detail.

We present a constrained analysis of the valence transversity Parton Distribution Functions from dihadron production in semi-inclusive DIS. While usual extractions of the transversity distributions rely explicitly on the fulfillment of the Soffer bound, the present analysis releases that restriction to implement further constraints through the method of Lagrange multipliers. The results are quantitatively comparable to previous analyses in the kinematical range of data; the qualitative impact translates into an increased flexibility in the functional form.

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In a simple framework which naturally incorporates dark matter stability and neutrino phenomenology, we compute all the possible texture zeros which arise when the non-abelian flavor symmetry A4 is spontaneously broken to Z2. As a result, we obtain four textures with two vanishing matrix elements. Two of such textures predict a zero contribution to the neutrinoless double beta decay effective mass parameter at tree level, and as a one loop bound we get mee < 8 × 10 −2 meV. These are compatible with the normal ordering for the neutrino masses and the allowed range for the lightest neutrino mass is between mν min ∼ 3 meV and mν max ∼ 8 meV. Additionally we obtain dark matter stability linked to the way the flavor symmetry is broken, leaving a residual Z2 symmetry.

We present a minimal left-right symmetric flavor model and analyze the predictions for the neutrino sector. In this scenario, the Yukawa sector is shaped by the dihedral D 4 symmetry which leads to correlations for the neutrino mixing parameters. We end up with the four possible solutions within this model. We further analyzed the impact of the upcoming long-baseline neutrino oscillation experiment, DUNE. Due to its high sensitivity, it has been observed that the DUNE will be able to rule out two of the solutions. Finally, the predictions for the neutrinoless double beta decay and the lepton flavor violating process μ → eγ for the model have also been examined.