Theory and phenomenology of non-global logarithms

We discuss the theoretical treatment of non-global observables, those quantities that are sensitive only to radiation in a restricted region of phase space, and describe how large `non-global' logarithms arise when we veto the energy flowing into the restricted region. The phenomenological impact of non-global logarithms is then discussed, drawing on examples from event shapes in DIS and energy-flow observables in 2-jet systems. We then describe techniques to reduce the numerical importance of non-global logarithms, looking at clustering algorithms in energy flow observables and the study of associated distribution of multiple observables.Comment: Based on talks presented at the XXXVIIIth Rencontres de Moriond 'QCD and high-energy hadronic interactions', 8 page

The 2018 Australian high court constitutional term: Placing the court in its inter-institutional context

Drawing on the scholarly commentariat tradition now practised across the world, this article provides an overview and analysis of the 2018 Australian High Court’s constitutional term. However, this article approaches this task through a slightly different lens: I consider the 2018 developments by reference to their interinstitutional context. That is, how the High Court’s jurisdictional and doctrinal developments do and should impact the jurisdiction and behaviour of the other branches of government, and in the context of constitutional judicial review, particularly the Australian parliaments. In the article, I consider the High Court’s 2018 constitutional jurisprudence in three areas of law, and how its decisions have and should impact the constitutional responsibilities and practice of parliaments. Placing the High Court’s term in this inter-institutional context will give a better sense of the reach of the impact of the Court’s jurisprudential developments, as well as serve as a reminder that constitutional responsibility will not always lie with the courts for the articulation and prioritisation of constitutional principle

Spectra of phase point operators in odd prime dimensions and the extended Clifford group

We analyse the role of the Extended Clifford group in classifying the spectra of phase point operators within the framework laid out by Gibbons et al for setting up Wigner distributions on discrete phase spaces based on finite fields. To do so we regard the set of all the discrete phase spaces as a symplectic vector space over the finite field. Auxiliary results include a derivation of the conjugacy classes of ${\rm ESL}(2, \mathbb{F}_N)$.Comment: Latex, 19page

The resummation of inter-jet energy flow for gaps-between-jets processes at HERA

We calculate resummed perturbative predictions for gaps-between-jets processes and compare to HERA data. Our calculation of this non-global observable needs to include the effects of primary gluon emission (global logarithms) and secondary gluon emission (non-global logarithms) to be correct at the leading logarithm (LL) level. We include primary emission by calculating anomalous dimension matrices for the geometry of the specific event definitions and estimate the effect of non-global logarithms in the large $N_c$ limit. The resulting predictions for energy flow observables are consistent with experimental data.Comment: 31 pages, 4 figures, 2 table