skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Electroweak higher-order effects and theoretical uncertainties in deep-inelastic neutrino scattering

Abstract

A previous calculation of electroweak O({alpha}) corrections to deep-inelastic neutrino scattering, as e.g. measured by NuTeV and NOMAD, is supplemented by higher-order effects. In detail, we take into account universal two-loop effects from {delta}{alpha} and {delta}{rho} as well as higher-order final-state photon radiation off muons in the structure function approach. Moreover, we make use of the recently released O({alpha})-improved parton distributions MRST2004QED and identify the relevant QED factorization scheme, which is DIS-like. As a technical by-product, we describe slicing and subtraction techniques for an efficient calculation of a new type of real corrections that are induced by the generated photon distribution. A numerical discussion of the higher-order effects suggests that the remaining theoretical uncertainty from unknown electroweak corrections is dominated by nonuniversal two-loop effects and is of the order 0.0003 when translated into a shift in sin{sup 2}{theta}{sub W}=1-M{sub W}{sup 2}/M{sub Z}{sup 2}. The O({alpha}) corrections implicitly included in the parton distributions lead to a shift of about 0.0004.

Authors:
 [1]; ;  [2]
  1. Paul-Scherrer-Institut, Wuerenlingen und Villigen CH-5232 Villigen PSI (Switzerland)
  2. Max-Planck-Institut fuer Physik (Werner-Heisenberg-Institut) D-80805 Munich (Germany)
Publication Date:
OSTI Identifier:
20713808
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 72; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.72.093002; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CORRECTIONS; DEEP INELASTIC SCATTERING; DISTRIBUTION; FACTORIZATION; MUONS; NEUTRINO REACTIONS; PHOTONS; QUANTUM ELECTRODYNAMICS; QUARK MODEL; QUARKS; STRUCTURE FUNCTIONS

Citation Formats

Diener, K.-P.O., Dittmaier, S., and Hollik, W.. Electroweak higher-order effects and theoretical uncertainties in deep-inelastic neutrino scattering. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.72.093002.
Diener, K.-P.O., Dittmaier, S., & Hollik, W.. Electroweak higher-order effects and theoretical uncertainties in deep-inelastic neutrino scattering. United States. doi:10.1103/PhysRevD.72.093002.
Diener, K.-P.O., Dittmaier, S., and Hollik, W.. Tue . "Electroweak higher-order effects and theoretical uncertainties in deep-inelastic neutrino scattering". United States. doi:10.1103/PhysRevD.72.093002.
@article{osti_20713808,
title = {Electroweak higher-order effects and theoretical uncertainties in deep-inelastic neutrino scattering},
author = {Diener, K.-P.O. and Dittmaier, S. and Hollik, W.},
abstractNote = {A previous calculation of electroweak O({alpha}) corrections to deep-inelastic neutrino scattering, as e.g. measured by NuTeV and NOMAD, is supplemented by higher-order effects. In detail, we take into account universal two-loop effects from {delta}{alpha} and {delta}{rho} as well as higher-order final-state photon radiation off muons in the structure function approach. Moreover, we make use of the recently released O({alpha})-improved parton distributions MRST2004QED and identify the relevant QED factorization scheme, which is DIS-like. As a technical by-product, we describe slicing and subtraction techniques for an efficient calculation of a new type of real corrections that are induced by the generated photon distribution. A numerical discussion of the higher-order effects suggests that the remaining theoretical uncertainty from unknown electroweak corrections is dominated by nonuniversal two-loop effects and is of the order 0.0003 when translated into a shift in sin{sup 2}{theta}{sub W}=1-M{sub W}{sup 2}/M{sub Z}{sup 2}. The O({alpha}) corrections implicitly included in the parton distributions lead to a shift of about 0.0004.},
doi = {10.1103/PhysRevD.72.093002},
journal = {Physical Review. D, Particles Fields},
number = 9,
volume = 72,
place = {United States},
year = {Tue Nov 01 00:00:00 EST 2005},
month = {Tue Nov 01 00:00:00 EST 2005}
}
  • In this paper, order ╬▒ 2 contributions to double moment ratios in semi-inclusive deep inelastic scattering are computed. They are substantial.
  • The moment sum rules for deep-inelastic lepton scattering are expected for asymptotically free field theories to display a characteristic pattern of logarithmic departures from scaling at large enough Q/sup 2/. In the large-Q/sup 2/ limit these patterns do not depend on hadron or quark masses m. For modest values of Q/sup 2/ one expects corrections at the level of powers of m/sup 2//Q/sup 2/. We discuss the question whether these mass effects are accessible in perturbation theory, as applied to the twist-2 Wilson coefficients and more generally. Our conclusion is that some part of the mass effects must arise frommore » a nonperturbative origin. We also discuss the corrections which arise from higher orders in perturbation theory for very large Q/sup 2/, where mass effects can perhaps be ignored. The emphasis here is on a characterization of the Q/sup 2/, x domain where higher-order corrections are likely to be unimportant.« less
  • We show that parity-violating deep-inelastic scattering (PVDIS) of longitudinally polarized electrons from deuterium can in principle be a relatively clean probe of higher twist quark-quark correlations beyond the parton model. As first observed by Bjorken and Wolfenstein, the dominant contribution to the electron polarization asymmetry, proportional to the axial vector electron coupling, receives corrections at twist four from the matrix element of a single four-quark operator. We reformulate the Bjorken-Wolfenstein argument in a matter suitable for the interpretation of experiments planned at the Thomas Jefferson National Accelerator Facility (JLab). In particular, we observe that because the contribution of the relevantmore » twist-four operator satisfies the Callan-Gross relation, the ratio of parity-violating longitudinal and transverse cross sections, R{sup {gamma}}Z, is identical to that for purely electromagnetic scattering, R{sup {gamma}}, up to perturbative and power-suppressed contributions. This result simplifies the interpretation of the asymmetry in terms of other possible novel hadronic and electroweak contributions. We use the results of MIT Bag Model calculations to estimate contributions of the relevant twist-four operator to the leading term in the asymmetry as a function of Bjorken x and Q{sup 2}. We compare these estimates with possible leading twist corrections from violation of charge symmetry in the parton distribution functions.« less
  • Effects of QCD, including the interaction between quarks, are taken into account in calculating electroweak asymmetries of deep inelastic scattering of polarized leptons on polarized nucleons. We observe an appreciable contribution of these effects to some of the asymmetries, which increases with energy.