The cusp anomalous dimension is a ubiquitous quantity in gauge theories such as QCD and QED. It governs the infrared behaviour of scattering amplitudes and is a universal ingredient in heavy quark effective theory and soft collinear effective theory. In this talk I present new results for the full angle-dependence of the fermionic quartic Casimir contributions at four loops. These are the...

The heavy quark expansion (HQE), which provides a perturbative expansion in the inverse heavy quark mass, has proven to be very successful for describing bottomed hadrons. However, its applicability has often been questioned for charmed hadrons due to the charm quark is actually not so heavy. In this talk we revisit the status of the HQE for charm. In particular, we study pseudoscalar...

In pertubative QCD large logarithms can arise in the computation of collider observables. These logarithms can be resummed via factorization theorems within Soft-Collinear Effective Theory(SCET). The

factorization theorems contain jet functions, which describe collinear interactions.

In this talk I present a systematic framework for the computation of jet functions for generic observables....

Recent experimental data on several observables in semileptonic $B$-meson decays are found to be in tension with the corresponding Standard Model predictions. Most of these deviations are related to $b \to c$ and $b \to s$ flavour changing transitions. In this talk, I plan to discuss possible New Physics effects in $b \to d \mu^+ \mu^-$ flavour changing neutral currents.

These NP contributions...