# 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:

- Paul-Scherrer-Institut, Wuerenlingen und Villigen CH-5232 Villigen PSI (Switzerland)
- 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}

}