Understanding the scale dependence of parton distribution functions is vital for precision physics at hadron colliders. The well-known DGLAP evolution equation relates this scale dependence to the QCD splitting functions, which can be calculated perturbatively in terms of the anomalous dimensions of leading-twist gauge-invariant operators. The computation of the latter in general requires one...
The behaviour of the chiral condensate at finite temperature computed in AdS/QCD with a time-dependent background is shown. Two different scenarios are analysed: in the first a general power-law time dependence is assumed for the temperature, while in the second the energy-momentum tensor at late times reproduces the one found in viscous hydrodynamics. Depending on how quickly the temperature...
The matrix model for the two-color QCD coupled to a single quark (matrix-QCD$_{2,1}$) exhibits novel features, such as the Pauli-G\"{u}rsey symmetry. Using variational methods, we numerically investigate matrix-QCD$_{2,1}$ in the limit of ultra-strong Yang-Mills coupling ($g_{YM} =\infty$). The spectrum of the model has superselection sectors labelled by baryon number $B$ and spin $J$. We...
Using light-front holographic QCD, we compute the pion mass, charge radius, decay constant, electromagnetic form factor and electromagnetic transition form factor. In doing so, we model the longitudinal quark dynamics using (1+1)-dimensional QCD-inspired potentials due to ’t Hooft and to Li & Vary. We explore the strong degeneracy between these two potentials and note that one scenario that...
It has been a long entertained idea that self-bound gravitons, so-called geons, could be a dark matter candidate or form (primordial) black holes. The development of viable candidates for quantum gravity allows now to investigate these ideas. Analytic methods show that the description of geons needs to be based on composite operators made out of the graviton field. We present results from a...
The detection of gravitational waves by the LIGO-VIRGO collaboration has marked a transformative era in astronomy, providing groundbreaking insights into the cosmos and creating new pathways for exploration. At the same time, advancements in the classical limit of quantum scattering amplitudes, particularly through the KMOC formalism, have enriched our understanding of compact binary systems....
Recent algorithmic improvements have made it possible to numerically compute the value of subdivergence-free (=primitive=skeleton) Feynman integrals in $\phi^4$ theory up to 18 loops. By now, all such integrals up to 13 loops and several hundred thousand of higher loop order have been computed numerically. This data enables a statistical analysis of the typical behavior of Feynman integrals at...
In this talk, I will present the analytic tool AsyInt [1] for solving massive multi-loop Feynman integrals in asymptotic limits. AsyInt is currently optimized for high-energy (small-mass) expansions of massive two-loop four-point integrals and their analytic evaluations. Recently, AsyInt has been successfully employed to perform analytic two-loop electroweak calculations for double Higgs...
Perturbation theory is used extensively for solving problems in quantum mechanics and quantum field theory. In most cases, the perturbative series in powers of the coupling is an asymptotic series (it ultimately diverges). This is not an issue at weak coupling where one can make precise predictions by computing a few lower orders. However, this procedure fails completely at strong coupling. In...
Positivity bounds in effective field theories (EFTs) can be extracted through the moment problem approach, utilizing well-established results from the mathematical literature. We generalize this formalism using the matrix moment approach to derive positivity bounds for theories with multiple field components. The sufficient conditions for
obtaining optimal bounds are identified and applied to...
We derive a family of generalized dispersion relations with new integration kernels, and use them to bootstrap the amplitudes with full unitarity and analyticity systematically employed. These dispersion relations, combined with the primal construction method, can be used to analyze the interplay between the Regge behavior of amplitudes and low-energy scattering data. As an illustrating...
In recent years tantalizing signs for a novel phase have been reported that is chirally symmetric but nevertheless exhibits massive bound states. The necessary condition for such a phase, referred to as Symmetric Mass Generation (SMG), is the cancellation of all (continuous and discrete) 't Hooft anomalies. In 3+1 dimensions this occurs in systems containing a multiple of 16 massless Weyl...
