We present a high-statistics lattice QCD determination of the valence parton distribution function (PDF) pion, with mass 300 MeV, using two very fine spacings $\mathrm{a}=0.06\text{ }\text{ }\mathrm{fm}$ and 0.04 fm. reconstruct $x$-dependent PDF, as well infer first few even moments PDF leading-twist 1-loop perturbative matching framework. Our analyses use both RI-MOM ratio-based schemes to renormalize equal-time bilocal quark-bilinear matrix elements pions boosted up 2.4 GeV momenta....

We report the first lattice QCD calculation of pion valence quark distribution with next-to-next-to-leading order perturbative matching correction, which is done using two fine lattices spacings a=0.04 and 0.06 fm mass m_{π}=300 MeV, at boost momentum as large 2.42 GeV. As a crucial step to control systematics, we renormalize quasidistribution in recently proposed hybrid scheme, features Wilson-line subtraction distances coordinate space, develop procedure match it MS[over ¯] scheme....

Traditionally, lattice QCD computations of generalized parton distributions (GPDs) have been carried out in a symmetric frame, where the transferred momentum is symmetrically distributed between incoming and outgoing hadrons. However, such frames are inconvenient since they require separate calculation for each value transfer, increasing significantly computational cost. In this work, by focusing on quasi-distribution approach, we lay foundation faster more effective calculations GPDs...

For the first time, we present a lattice QCD determination of Mellin moments unpolarized generalized parton distributions (GPDs) proton from an analysis quasi-GPD matrix elements within short-distance factorization framework. We perform our calculation on $N_f$=2+1+1 twisted mass fermions ensemble with clover improvement at spacing $a=0.093$ fm and pion $m_\pi=260$ MeV. Focusing zero-skewness case, iso-vector iso-scalar quasi-GPDs are calculated $\gamma_0$ definition, as well recently...

Recently, we made significant advancements in improving the computational efficiency of lattice QCD calculations for generalized parton distributions (GPDs). This progress was achieved by adopting matrix elements asymmetric frames, deviating from computationally-expensive symmetric frame typically used, and allowing freedom choice distribution momentum transfer between initial final states. A crucial aspect this approach involves adoption a Lorentz covariant parametrization elements,...

A bstract In this work, we present a lattice QCD calculation of the Mellin moments twist-2 axial-vector generalized parton distribution (GPD), $$ \overset{\sim }{H}\left(x,\xi, t\right) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>H</mml:mi> <mml:mo>~</mml:mo> </mml:mover> <mml:mfenced> <mml:mi>x</mml:mi> <mml:mi>ξ</mml:mi> <mml:mi>t</mml:mi> </mml:mfenced> </mml:math> , at zero skewness, ξ with multiple values momentum transfer, t . Our analysis employs...

A bstract In this work, we report a lattice calculation of x -dependent valence pion generalized parton distributions (GPDs) at zero skewness with multiple values the momentum transfer − t . The calculations are based on an N f = 2 + 1 gauge ensemble highly improved staggered quarks Wilson-Clover fermion. spacing is 0.04 fm, and mass tuned to be 300 MeV. We determine Lorentz-invariant amplitudes quasi-GPD matrix elements for both symmetric asymmetric momenta transfers similar show...

We present lattice QCD calculations of the valence parton distribution function (PDF) pion employing next-to-next-leading-order (NNLO) perturbative matching. Our are based on three gauge ensembles $2+1$ flavor highly improved staggered quarks and Wilson-Clover valance quarks, corresponding to mass ${m}_{\ensuremath{\pi}}=140\text{ }\text{ }\mathrm{MeV}$ at a spacing $a=0.076\text{ }\mathrm{fm}$ ${m}_{\ensuremath{\pi}}=300\text{ $a=0.04$, 0.06 fm. This enables us present, for first time,...

We present a lattice QCD determination of the distribution amplitude (DA) pion and first few Mellin moments from an analysis quasi-DA matrix element within leading-twist framework. perform our study on HISQ ensemble with $a=0.076\text{ }\text{ }\mathrm{fm}$ spacing Wilson-clover valence quark mass tuned to physical point. analyze ratios elements at short distances using operator product expansion (OPE) next-to-leading order conformal OPE leading-logarithmic order. find robust result for...

We present a lattice QCD calculation of the unpolarized isovector quark parton distribution function (PDF) proton utilizing perturbative matching at next-to-next-to-leading-order (NNLO). The calculations are carried out using single ensemble gauge configurations generated with $N_f = 2 + 1$ highly-improved staggered quarks physical masses and spacing $a 0.076$ fm. use one iteration hypercubic smearing on these configurations, resulting smeared then used for all aspects subsequent...

We present a direct lattice QCD calculation of the $x$-dependence pion distribution amplitude (DA), which is performed using quasi-DA in large momentum effective theory on domain-wall fermion ensemble at physical quark masses and spacing $a\approx 0.084$ fm. The bare quais-DA matrix elements are renormalized hybrid scheme matched to $\overline{\rm MS}$ with subtraction leading renormalon Wilson-line mass. For first time, we include threshold resummation perturbative matching onto light-cone...

We present a lattice QCD calculation of the rapidity anomalous dimension quark transverse-momentum-dependent distributions, i.e., Collins-Soper (CS) kernel, up to transverse separations about 1 fm. This unitary is conducted, for first time, employing chiral-symmetry-preserving domain wall fermion discretization and physical values light strange masses. The CS kernel extracted from ratios pion quasi-transverse-momentum-dependent wave functions (quasi-TMDWFs) at next-to-leading logarithmic...

We study isovector unpolarized and helicity parton distribution functions (PDF) of the proton within framework large-momentum effective theory. use a gauge ensemble, generated by MILC Collaboration, with superfine lattice spacing 0.042 fm pion mass 310 MeV, enabling us to simultaneously reach sub-Fermi spatial separations larger nucleon momenta. compare dependence quasi-PDF matrix elements in different renormalization schemes corresponding results global fits, obtained using one-loop...

We propose a new method to calculate parton distribution functions (PDFs) from lattice correlations of boosted quarks and gluons in the Coulomb gauge. Compared widely used gauge-invariant Wilson-line operators, these greatly simplify renormalization thanks absence linear power divergence. Additionally, they enable access larger off-axis momenta under preserved 3D rotational symmetry, as well enhanced long-range precision that facilitates Fourier transform. verify factorization formula...

We report the first lattice QCD computation of pion and kaon electromagnetic form factors, <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:msub><a:mrow><a:mi>F</a:mi></a:mrow><a:mrow><a:mi>M</a:mi></a:mrow></a:msub><a:mo stretchy="false">(</a:mo><a:msup><a:mrow><a:mi>Q</a:mi></a:mrow><a:mrow><a:mn>2</a:mn></a:mrow></a:msup><a:mo stretchy="false">)</a:mo></a:mrow></a:math>, at large momentum transfer up to 10 <e:math...

Many present lattice QCD approaches to calculate the parton distribution functions (PDFs) rely on a factorization formula or effective theory expansion of certain Euclidean matrix elements in boosted hadron states. In quasi- and pseudo-PDF methods, matching coefficient includes large logarithms near threshold, which arise from subtle interplay collinear soft divergences an underlying 3D momentum distribution. We use standard prescription resum such Mellin-moment space at next-to-leading...

We present our results on the electromagnetic form factor of pion over a wide range ${Q}^{2}$ using lattice QCD simulations with Wilson-clover valence quarks and highly improved staggered quark sea quarks. study at physical point spacing $a=0.076\text{ }\text{ }\mathrm{fm}$. To mass effects, we also for 300 MeV two different spacings $a=0.04$ 0.06 fm. The calculations appear to agree experimental results. Through fits factor, estimate charge radius be...

We present a lattice QCD calculation of the transversity isovector- and isoscalar-quark parton distribution functions (PDFs) proton utilizing perturbative matching at next-to-leading-order (NLO) accuracy. Additionally, we determine isovector isoscalar tensor charges for proton. In both calculations, disconnected contributions to matrix elements have been ignored. The calculations are performed using single ensemble <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"...

A bstract We present a direct lattice QCD calculation of the x -dependence pion distribution amplitude (DA), which is performed using quasi-DA in large momentum effective theory on domain-wall fermion ensemble at physical quark masses and spacing ≈ 0.084 fm. The bare quais-DA matrix elements are renormalized hybrid scheme matched to $$ \overline{\textrm{MS}} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>MS</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math>...

We present an exploratory lattice QCD investigation of the differences between valence quark structure pion and its radial excitation $\ensuremath{\pi}(1300)$ in a fixed finite volume using leading-twist factorization approach. evidences that first our computation is single particle state likely to be realization $\ensuremath{\pi}(1300)$. An analysis with reasonable priors result better estimates excited PDF moments, wherein we find evidence correlates almost two-fold increase momentum...

We present lattice results on the valence-quark structure of pion using a coordinate space method within framework Large Momentum Effective Theory (LaMET). In this one relies matrix elements Euclidean correlator in boosted hadronic states, which have an operator product expansion at short distance that allows us to extract moments PDFs. renormalize by forming reduced Ioffe-time distribution (rITD), and reconstruct second fourth PDF taking into account QCD evolution effects.

We present a lattice QCD calculation of the transversity isovector- and isoscalar-quark parton distribution functions (PDFs) proton utilizing perturbative matching at next-to-leading-order (NLO) accuracy. Additionally, we determine isovector isoscalar tensor charges for proton. In both calculations, disconnected contributions to matrix elements have been ignored. The calculations are performed using single ensemble $N_f = 2 +1$ highly-improved staggered quarks simulated with physical-mass...