Conveners
Pion and Kaon Structure
- Richard Trotta (The Catholic University of America)
Description
co-host: Garth Huber
We present a lattice determination of pion valence parton distribution function (PDF) and electomagnetic form-factors. Our study use NNLO leading-twist perturbative matching formula to extract first few moments and reconstruct the x-dependent PDF of pion. Three mixed action ensambles including a physical pion mass with fine lattice spacings of a = 0.04, 0.06 and 0.076 fm are used to...
We present a lattice QCD calculation of the pion and kaon form factor and explore the generalized form factors of the one-derivative vector operator. We also give an update of our results of $\langle x \rangle$, $\langle x^2 \rangle$, and $\langle x^3 \rangle$. We use an ensemble of two degenerate light, a strange and a charm quark $(N_f=2+1+1)$ of maximally twisted mass fermions with clover...
Following our recent Monte Carlo determination of the pion’s PDFs from Drell-Yan (DY) and leading neutron electroproduction data, we extend the analysis by including effects from threshold resummation. At higher orders in the strong coupling, $\alpha_s$, soft gluon emissions cause large logarithmic corrections, which become important in the $q\bar{q}$ channel of the DY partonic cross section...
In this talk, we present a model-independent calculation of the $x$-dependence of pion valence PDF with the large-momentum effective theory approach. In this calculation we adopt the most up-to-date theoretical developments on the systematic corrections, which include the hybrid renormalization scheme that rigorously renormalizes the lattice matrix elements at both short and long distances, as...
The lattice computation of PDFs is still emerging and in the process of being complementary to the experimental determinations. In the meanwhile, we discuss how the lattice PDF computations can immediately serve the purpose of understanding the nonperturbative origins of parton structures by extending it to theoretically interesting cases that are otherwise not accessible experimentally. For...
The analytic structure of two-body bound state amplitudes is embedded in the Nakanishi integral representation in terms of real functions. Within the rainbow-ladder truncation, we derive the integral equations for these Nakanishi spectral functions from the corresponding Bethe-Salpeter equations in Minkowski space. The resulting integral equations are then solved numerically using adaptive...
