He performed the definitive analysis of the world's electron–positron data to produce what are now the textbook results for the Quantum Chromodynamics (QCD) 'fine structure' constant and the fermion electroweak interaction parameters.
He was a group leader at Rutherford Appleton Laboratory (RAL) from 1978 to 1992, and in the 1990s led the British involvement in an experiment at the electron–proton collider, Hadron-Elektron-Ringanlage (HERA), at DESY.
Marshall has published a comprehensive history of "Three Centuries of Manchester Physics", in five volumes, covering the scientific, cultural, social and political aspects of the evolution of the subject in the city and its immediate surroundings.
[citation needed] In 2018, he published a book containing letters written mainly by physicists to the Nobel Prize winner William Lawrence Bragg during the first worlds war, providing fresh insight into the deeds and thoughts of scientists active in the front line of battle.
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