On the correlation coefficient T(E_e) of the neutron beta decay, caused by the correlation structure invariant under discrete P, C and T symmetries

Abstract

We analyze the correlation coefficient T(E_e), which was introduced by Ebel and Feldman (Nucl. Phys. 4, 213 (1957)). The correlation coefficient T(E_e) is induced by the correlations of the neutron spin with the antineutrino 3-momentum and the electron spin with the electron 3-momentum. Such a correlation structure is invariant under discrete P, C and T symmetries. The correlation coefficient T(E_e), calculated to leading order in the large nucleon mass m_N expansion, is equal to T(E_e) = - 2 g_A(1 + g_A)/(1 + 3 g^2_A) = - B_0, i.e. of order |T(E_e)| ~ 1, where $g_A$ is the axial coupling constant. Within the Standard Model (SM) we describe the correlation coefficient $T(E_e)$ at the level of 10^{-3} by taking into the radiative corrections of order O(α/π) or the outer model-independent radiative corrections, where αis the fine-structure constant, and the corrections of order O(E_e/m_N), caused by weak magnetism and proton recoil. We calculate also the contributions of interactions beyond the SM, including the contributions of the second class currents.

arXiv comment15 pages, some typos are corrected

References in corpus (36)

• Tests of the standard electroweak model in beta decay
• Probing Novel Scalar and Tensor Interactions from (Ultra)Cold Neutrons to the LHC
• Reduced hadronic uncertainty in the determination of $V_{ud}$
• Improved Calculation of Electroweak Radiative Corrections and the Value of V_ud
• The neutron and its role in cosmology and particle physics
• New physics searches in nuclear and neutron $\beta$ decay
• Measurement of the Weak Axial-Vector Coupling Constant in the Decay of Free Neutrons Using a Pulsed Cold Neutron Beam
• Radiative Corrections to Neutron and Nuclear Beta Decays Revisited
• Beta Decays and Non-Standard Interactions in the LHC Era
• Dispersive Evaluation of the Inner Radiative Correction in Neutron and Nuclear $\beta$-decay
• Precision Measurements and CKM Unitarity
• Neutron Lifetime and Axial Coupling Connection
• WIMP-nucleus scattering in chiral effective theory
• Neutron beta decay in effective field theory
• Neutron Beta-Decay as Laboratory for Test of Standard Model
• Sharpening Low-Energy, Standard-Model Tests via Correlation Coefficients in Neutron Beta-Decay
• Measurement of the Neutrino Asymmetry Parameter B in Neutron Decay
• The Puzzle of Neutron Lifetime
• Measurement of the Transverse Polarization of Electrons Emitted in Free Neutron Decay
• Measurement of Transverse Polarization of Electrons Emitted in Free Neutron Decay
• The D coefficient in neutron beta decay in effective field theory
• Low Energy Probes of Physics Beyond the Standard Model
• General classification and analysis of neutron beta-decay experiments
• Framework for maximum likelihood analysis of neutron beta decay observables to resolve the limits of the V-A law
• Improved limits on Fierz Interference using asymmetry measurements from the UCNA experiment
• Limit on the Fierz Interference Term b from a Measurement of the Beta Asymmetry in Neutron Decay
• Neutron Dark Matter Decays and Correlation Coefficients of Neutron Beta Decays
• Precision analysis of electron energy spectrum and angular distribution of neutron beta decay with polarized neutron and electron
• Tests of the Standard Model in Neutron Beta Decay with Polarized Neutron and Electron and Unpolarized Proton
• Test of the Standard Model in Neutron Beta Decay with Polarized Electron and Unpolarized Neutron and Proton
• Neutron beta-decay, Standard Model and cosmology
• Precision Theoretical Analysis of Neutron Radiative Beta Decay to Order "O(α^2/π^2)"
• Precision Beta Decay as a Probe of New Physics
• Precision analysis of pseudoscalar interactions in neutron beta decays
• Radiative corrections of order O(alpha E_e/m_N) to Sirlin's radiative corrections of order O(alpha/pi) to neutron lifetime
• Beta-Decay Correlations in the LHC Era

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• Theoretical description of the neutron beta decay in the standard model at the level of 10^{-5}
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