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Uncertainties in the parametrization of Parton Distribution Functions (PDFs) are becoming a serious limiting systematic uncertainty in Large Hadron Collider (LHC) searches for Beyond the Standard Model physics. This is especially true for…

High Energy Physics - Experiment · Physics 2019-03-13 Christopher Willis , Raymond Brock , Daniel Hayden , Tie-Jiun Hou , Joshua Isaacson , Carl Schmidt , Chien-Peng Yuan

We present results on the Mellin moments of the unpolarized parton distribution function (PDF) of the pion and kaon up to the fourth order. The computation is done using one $N_f=2+1+1$ gauge ensemble of twisted mass fermions with quark…

Within the framework of adiabatic regularization, we present a simple formalism to calculate number density and renormalized energy-momentum density of spin 1/2 particles in spatially flat FLRW spacetimes using an appropriate WKB ansatz for…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Suman Ghosh

Transverse-momentum-dependent parton distribution functions (TMDs) were investigated at the twists 3 and 4 for spin-1 hadrons in addition to the twist-2 ones. They were found by studying all the possible decomposition of a quark correlation…

High Energy Physics - Phenomenology · Physics 2023-01-18 S. Kumano , Qin-Tao Song

We have investigated the collective modes of unconventional charge and spin density waves (UCDW, USDW) in quasi-one dimensional systems in random phase approximation. The density correlator regains its normal state form due to the phase…

Strongly Correlated Electrons · Physics 2009-11-07 Balázs Dóra , Attila Virosztek

Based on a global fit to experimental measurements of the pion electromagnetic form factor and parton distribution functions (PDFs), we report a data-driven determination of the unpolarized quark generalized parton distributions (GPDs) for…

High Energy Physics - Phenomenology · Physics 2026-04-14 Satyajit Puhan , Shubham Sharma , Narinder Kumar , Harleen Dahiya

We present a unified framework for renormalization group methods, including Wilson's numerical renormalization group (NRG) and White's density-matrix renormalization group (DMRG), within the language of matrix product states. This allows…

Strongly Correlated Electrons · Physics 2009-10-14 A. Weichselbaum , F. Verstraete , U. Schollwöck , J. I. Cirac , Jan von Delft

We propose a new approach to determining quasi parton distribution functions (PDFs) from lattice quantum chromodynamics. By incorporating the gradient flow, this method guarantees that the lattice quasi PDFs are finite in the continuum…

High Energy Physics - Lattice · Physics 2017-04-26 Christopher Monahan , Kostas Orginos

Generalized universality, as recently proposed, postulates a universal non-Gaussian form of the probability density function (PDF) of certain global observables for a wide class of highly correlated systems of finite volume N. Studying the…

Statistical Mechanics · Physics 2009-11-11 G. Mack , G. Palma , L. Vergara

The density matrix renormalization group (DMRG) is a celebrated tensor network algorithm, which computes the ground states of one-dimensional quantum many-body systems very efficiently. Here we propose an improved formulation of continuous…

Strongly Correlated Electrons · Physics 2022-12-29 Masahiko G. Yamada , Takumi Sanno , Masahiro O. Takahashi , Yutaka Akagi , Hidemaro Suwa , Satoshi Fujimoto , Masafumi Udagawa

In this paper, we show that the common hard kernel of double-log-type or threshold-type factorization for certain space-like parton correlators that arise in the context of lattice parton distributions, the heavy-light Sudakov hard kernel,…

High Energy Physics - Phenomenology · Physics 2024-03-04 Yizhuang Liu , Yushan Su

This article presents a summary of overlapping presentations by the author to the QCD Evolution 2013 Workshop and to the Opportunities for Polarized Physics at Fermilab Workshop. It contains an introduction to the concept of…

High Energy Physics - Phenomenology · Physics 2015-06-16 Dennis Sivers

Measurements of the forward-backward asymmetry in neutral-current Drell-Yan di-lepton production have primarily been used for determinations of the weak mixing angle $\theta_W$. We observe that, unlike the case of Run-I of the Large Hadron…

High Energy Physics - Phenomenology · Physics 2019-03-19 Elena Accomando , Juri Fiaschi , Francesco Hautmann , Stefano Moretti

Twist-3 collinear parton distribution functions (PDFs) are matrix elements of quark-gluon-quark or three-gluons light-cone operators. They depend on three momentum fraction variables, which are restricted to a hexagon region, and the…

High Energy Physics - Phenomenology · Physics 2024-07-10 Simone Rodini , Lorenzo Rossi , Alexey Vladimirov

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 the quasi- and…

High Energy Physics - Phenomenology · Physics 2021-05-28 Xiang Gao , Kyle Lee , Swagato Mukherjee , Charles Shugert , Yong Zhao

We study scale-invariant geometric quantities associated with embedded closed curves in Euclidean three-space, with an emphasis on their behavior under optimization within a fixed knot type. Given a Euclidean-invariant and scale-covariant…

Geometric Topology · Mathematics 2026-05-01 Makoto Ozawa

The factorization theorems of quantum chromodynamics (QCD) apply equally well to most simple quantum field theories that require renormalization but where direct calculations are much more straightforward. Working with these simpler…

High Energy Physics - Phenomenology · Physics 2023-05-03 F. Aslan , L. Gamberg , J. O. Gonzalez-Hernandez , T. Rainaldi , T. C. Rogers

The probability density function (PDF) associated with a given set of samples is approximated by a piecewise-linear polynomial constructed with respect to a binning of the sample space. The kernel functions are a compactly supported basis…

Numerical Analysis · Mathematics 2020-08-04 Giacomo Capodaglio , Max Gunzburger

We analyze the properties of the quasiparticle excitations of metallic antiferromagnetic states in a strongly correlated electron system. The study is based on dynamical mean field theory (DMFT) for the infinite dimensional Hubbard model…

Strongly Correlated Electrons · Physics 2009-11-13 J. Bauer , A. C. Hewson

We revise the relation between Parton Distribution Functions (PDFs) and matrix elements computable from lattice QCD, focusing on the quasi-Parton Distribution Functions (qPDFs) approach. We exploit the relation between PDFs and qPDFs in the…

High Energy Physics - Phenomenology · Physics 2020-01-08 Krzysztof Cichy , Luigi Del Debbio , Tommaso Giani