arXiv subjects

Rodolfo Ferro-Hernández

Publications and source records attributed to Rodolfo Ferro-Hernández.

4 recordsLinked to original sources

arXiv2024

Quantization of Second Order Fermions

The quantization of a massive spin $1/2$ field that satisfies the Klein-Gordon equation is studied. The framework is consistent, provided it is formulated as a pseudo-hermitian quantum field theory by the redefinition of the field dual and the identification of an operator that modifies the inner product of states in Hilbert space to preserve a real energy spectrum and unitary evolution. Since the fermion field has mass dimension one, the theory admits renormalizable fermion self-interactions.

hep-th↗

arXiv2022

Hadronic effects in Møller scattering at NNLO

Two-loop electroweak corrections to polarized Moller scattering are studied in two different schemes at low energies. We find the finite $Q^2$ corrections to be well under control. The hadronic and perturbative QCD corrections to the $γZ$ two-point function are incorporated through the weak mixing angle at low energies, which introduce an error of $0.08\times10^{-3}$ in the weak charge of the electron $Q^e_W$. Furthermore, by studying the scheme dependence, we obtain an estimate of the current perturbative electroweak uncertainty, $δQ^e_W\approx0.23\times10^{-3}$, which is five times smaller than the precision estimated for the MOLLER experiment $(δQ_W^e=1.1\times10^{-3})$. Future work is possible to reduce the theory error further.

hep-ph↗

arXiv2018

Weak Mixing Angle in the Thomson Limit

We present a calculation of the weak mixing angle in the $\overline{\rm\small MS}$ 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 $\sin^{2}θ_W(0) = 0.23868(5)(2)$ for the reference values $α_s(M_Z) = 0.1182$ and $m_c(m_c) = 1.272$ 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.

hep-ph↗

arXiv2016

Spin one matter fields

Spin-one matter fields are relevant both for the description of hadronic states and as potential extensions of the Standard Model. In this work we present a formalism for the description of massive spin-one fields transforming in the $(1,0)\oplus(0,1)$ representation of the Lorentz group, based on the covariant projection onto parity eigenspaces and Poincaré orbits. The formalism yields a constrained dynamics. We solve the constraints and perform the canonical quantization accordingly. This formulation uses the recent construction of a parity-based covariant basis for matrix operators acting on the $(j,0)\oplus(0,j) $ representations. The algebraic properties of the covariant basis play an important role in solving the constraints and allowing the canonical quantization of the theory. We study the chiral structure of the theory and conclude that it is not chirally symmetric in the massless limit, hence it is not possible to have chiral gauge interactions. However, spin-one matter fields can have vector gauge interactions. Also, the dimension of the field makes self-interactions naively renormalizable. Using the covariant basis, we classify all possible naively renormalizable self-interaction terms.

hep-ph↗