The gradient flow offers a unique renormalization scheme applicable in both perturbation theory and lattice calculations. Especially, it suppresses operator mixing on the lattice, shifting it to the perturbative matching calculation. In this talk, we discuss using the gradient flow scheme for the four-quark operators describing neutral meson mixing and lifetimes. While meson mixing...
In this talk, I will present the Short Flow-Time expansion (SFTE) of operators present in the Low Energy Effective Field Theory (LEFT) up to dimension six, in the HV scheme. To be able to perform an off-shell calculation and avoid mixing with gauge-variant operators, we make use of the Background Field Method applied to the Gradient Flow. Moreover, we restore chiral symmetry by introducing...
We analyse the decay of the $D_s$ meson, focusing on the $D_s \to X \ell \nu$ channel based on Extended Twisted mass ensembles at the physical pion mass value.
On the basis of four-point correlation functions, we use the HLT reconstruction method to calculate the differential decay rate and differential first lepton energy moment.
The analysis is performed at four different lattice spacings,...
In this talk I will discuss a continuum approach to the nonlocal contribution to rare kaon decays such as $K^+ \to \pi^+ \nu \nu$, with an emphasis on whether and how to decouple the charm. I will also motivate determinations of isospin breaking effects in $\Delta B=0$ four-quark operators as input for theoretical predictions of inclusive semileptonic $b \to s(d)$ decays.
The nature of many experimentally observed hadronic resonances has been a topic of debate ever since the 1960's. In this work, we focus on studying the $f_0(980)$, the second lightest unflavoured scalar resonance. We comment on the different descriptions for it in the quark model, and focus specifically on the pure $s\bar s$ picture. We mainly explore the $B_s^0 \rightarrow f_0(980)\mu^+\mu^-$...
