## Abstract

The use of energetic electrons (and other leptons) to probe the structure of hadronic matter has had a long and extremely successful history. We begin with a quick pictorial review and then introduce the Quark Parton Model with its prediction of scaling for deep inelastic ep{yields}eX and {nu}N{yields}{mu}X scattering. Here by `scaling` we mean taht the structure functions F{sub i}(x, Q{sup 2}) depend only on the Bjorken variable x, and not on Q{sup 2}. A study of the QCD-improved parton model is preceded by an introductory discussion of QCD, renormalisation and the running of the coupling constant {alpha}{sub s}. We indicate how the running of {alpha}{sub s}, governed by the universal beta function, can, in principle, sum all the logarithmic ultraviolet divergences associated with the quark-gluon vertices. In an analogous way we indicate how universal running parton densities, governed by Altarelli-Parisi evolution equations, can, in principle, sum all the logarithmic initial state collinear singularities. (orig.).

## Citation Formats

Ellis, N, and Gavela, M B.
Addendum to the 1993 European school of high-energy physics. Proceedings.
CERN: N. p.,
1994.
Web.

Ellis, N, & Gavela, M B.
Addendum to the 1993 European school of high-energy physics. Proceedings.
CERN.

Ellis, N, and Gavela, M B.
1994.
"Addendum to the 1993 European school of high-energy physics. Proceedings."
CERN.

@misc{etde_10102683,

title = {Addendum to the 1993 European school of high-energy physics. Proceedings}

author = {Ellis, N, and Gavela, M B}

abstractNote = {The use of energetic electrons (and other leptons) to probe the structure of hadronic matter has had a long and extremely successful history. We begin with a quick pictorial review and then introduce the Quark Parton Model with its prediction of scaling for deep inelastic ep{yields}eX and {nu}N{yields}{mu}X scattering. Here by `scaling` we mean taht the structure functions F{sub i}(x, Q{sup 2}) depend only on the Bjorken variable x, and not on Q{sup 2}. A study of the QCD-improved parton model is preceded by an introductory discussion of QCD, renormalisation and the running of the coupling constant {alpha}{sub s}. We indicate how the running of {alpha}{sub s}, governed by the universal beta function, can, in principle, sum all the logarithmic ultraviolet divergences associated with the quark-gluon vertices. In an analogous way we indicate how universal running parton densities, governed by Altarelli-Parisi evolution equations, can, in principle, sum all the logarithmic initial state collinear singularities. (orig.).}

place = {CERN}

year = {1994}

month = {Jun}

}

title = {Addendum to the 1993 European school of high-energy physics. Proceedings}

author = {Ellis, N, and Gavela, M B}

abstractNote = {The use of energetic electrons (and other leptons) to probe the structure of hadronic matter has had a long and extremely successful history. We begin with a quick pictorial review and then introduce the Quark Parton Model with its prediction of scaling for deep inelastic ep{yields}eX and {nu}N{yields}{mu}X scattering. Here by `scaling` we mean taht the structure functions F{sub i}(x, Q{sup 2}) depend only on the Bjorken variable x, and not on Q{sup 2}. A study of the QCD-improved parton model is preceded by an introductory discussion of QCD, renormalisation and the running of the coupling constant {alpha}{sub s}. We indicate how the running of {alpha}{sub s}, governed by the universal beta function, can, in principle, sum all the logarithmic ultraviolet divergences associated with the quark-gluon vertices. In an analogous way we indicate how universal running parton densities, governed by Altarelli-Parisi evolution equations, can, in principle, sum all the logarithmic initial state collinear singularities. (orig.).}

place = {CERN}

year = {1994}

month = {Jun}

}