We introduce an infinite set of jet substructure observables, derived as projections of N-point
energy correlators, that both are convenient for experimental studies and maintain …

A review of modern methods for effective calculations of Feynman integrals containing both
massless propagators and propagators with masses is given. The effectiveness of these …

A bstract We analyze the properly normalized three-point correlator of two protected scalar
operators and one higher spin twist-two operator in\(\mathcal {N}= 4\) super Yang-Mills, in …

In this paper we show that, as in the spacelike case, the inverse logarithmic expansion is
applicable for all values of the argument of the analytic coupling constant. We present two …

A bstract We study the form factors of the Konishi operator, the prime example of non-
protected operators in\(\mathcal {N}= 4\) SYM theory, via the on-shell unitarity method. Since …

A bstract Form factors of composite operators in the SL (2) sector of\(\mathcal {N}\)= 4 SYM
theory are studied up to two loops via the on-shell unitarity method. The non-compactness of …

The Landau-Khalatnikov-Fradkin transformation is a powerful and elegant transformation
allowing us to study the gauge dependence of the propagator of charged particles …

The role of differential equations in the process of calculating Feynman integrals is
reviewed. An example of a diagram is given for which the method of differential equations …

In the first part of this thesis, we study form factors of general gauge-invariant local
composite operators in $\mathcal {N}= 4$ super Yang-Mills theory at various loop orders …

The deep inelastic scattering data on the nucleon F_2 structure function, accumulated by
BCDMS, SLAC and NMC collaborations in fixed-target experiments, are analyzed in the non …