scholarly journals Towards the nucleon hadronic tensor from lattice QCD

2020 ◽  
Vol 101 (11) ◽  
Author(s):  
Jian Liang ◽  
Terrence Draper ◽  
Keh-Fei Liu ◽  
Alexander Rothkopf ◽  
Yi-Bo Yang ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Hadronic Tensor

scholarly journals A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results

2019 ◽  
Vol 2019 ◽  
pp. 1-68 ◽  
Author(s):  
Krzysztof Cichy ◽  
Martha Constantinou
Keyword(s):  
Lattice Qcd ◽  
Cross Sections ◽  
Light Cone ◽  
Distribution Functions ◽  
Strong Interactions ◽  
Parton Distribution Functions ◽  
Hadronic Tensor ◽  
Parton Distributions ◽  
Transverse Momentum Dependent ◽  
The Rich

Within the theory of Quantum Chromodynamics (QCD), the rich structure of hadrons can be quantitatively characterized, among others, using a basis of universal nonperturbative functions: parton distribution functions (PDFs), generalized parton distributions (GPDs), transverse momentum dependent parton distributions (TMDs), and distribution amplitudes (DAs). For more than half a century, there has been a joint experimental and theoretical effort to obtain these partonic functions. However, the complexity of the strong interactions has placed severe limitations, and first-principle information on these distributions was extracted mostly from their moments computed in Lattice QCD. Recently, breakthrough ideas changed the landscape and several approaches were proposed to access the distributions themselves on the lattice. In this paper, we review in considerable detail approaches directly related to partonic distributions. We highlight a recent idea proposed by X. Ji on extracting quasidistributions that spawned renewed interest in the whole field and sparked the largest amount of numerical studies within Lattice QCD. We discuss theoretical and practical developments, including challenges that had to be overcome, with some yet to be handled. We also review numerical results, including a discussion based on evolving understanding of the underlying concepts and the theoretical and practical progress. Particular attention is given to important aspects that validated the quasidistribution approach, such as renormalization, matching to light-cone distributions, and lattice techniques. In addition to a thorough discussion of quasidistributions, we consider other approaches: hadronic tensor, auxiliary quark methods, pseudodistributions, OPE without OPE, and good lattice cross-sections. In the last part of the paper, we provide a summary and prospects of the field, with emphasis on the necessary conditions to obtain results with controlled uncertainties.

Onset Transition to Cold Nuclear Matter from Lattice QCD with Heavy Quarks

2014 ◽  
Author(s):  
Mathias Neuman ◽  
Jens Langelage ◽  
Owe Philipsen
Keyword(s):  
Nuclear Matter ◽  
Lattice Qcd ◽  
Heavy Quarks ◽  
Cold Nuclear Matter

scholarly journals Neutron electric dipole moment using lattice QCD simulations at the physical point

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
C. Alexandrou ◽  
A. Athenodorou ◽  
K. Hadjiyiannakou ◽  
A. Todaro
Keyword(s):  
Dipole Moment ◽  
Lattice Qcd ◽  
Electric Dipole Moment ◽  
Electric Dipole ◽  
Neutron Electric Dipole Moment ◽  
Physical Point

scholarly journals Two-nucleon S -wave interactions at the SU(3) flavor-symmetric point with mud≈msphys : A first lattice QCD calculation with the stochastic Laplacian Heaviside method

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Ben Hörz ◽  
Dean Howarth ◽  
Enrico Rinaldi ◽  
Andrew Hanlon ◽  
Chia Cheng Chang ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
S Wave ◽  
Wave Interactions ◽  
Symmetric Point

scholarly journals Double parton distributions in the pion from lattice QCD

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Gunnar S. Bali ◽  
Luca Castagnini ◽  
Markus Diehl ◽  
Jonathan R. Gaunt ◽  
Benjamin Gläßle ◽  
...  
Keyword(s):  
Spatial Distribution ◽  
Lattice Qcd ◽  
Quark Mass ◽  
Matrix Elements ◽  
Parton Distributions ◽  
Almost All ◽  
The Relationship

Abstract We perform a lattice study of double parton distributions in the pion, using the relationship between their Mellin moments and pion matrix elements of two local currents. A good statistical signal is obtained for almost all relevant Wick contractions. We investigate correlations in the spatial distribution of two partons in the pion, as well as correlations involving the parton polarisation. The patterns we observe depend significantly on the quark mass. We investigate the assumption that double parton distributions approximately factorise into a convolution of single parton distributions.

scholarly journals Isospin-1/2 Dπ scattering and the lightest $$ {D}_0^{\ast } $$ resonance from lattice QCD

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Luke Gayer ◽  
Nicolas Lang ◽  
Sinéad M. Ryan ◽  
David Tims ◽  
Christopher E. Thomas ◽  
...  
Keyword(s):  
Scattering Amplitudes ◽  
Lattice Qcd ◽  
Quark Mass ◽  
Light Quark ◽  
Energy Levels ◽  
Experimental Result ◽  
Infinite Volume ◽  
Resonance Pole ◽  
Strongly Coupled ◽  
Light Quark Mass

Abstract Isospin-1/2 Dπ scattering amplitudes are computed using lattice QCD, working in a single volume of approximately (3.6 fm)3 and with a light quark mass corresponding to mπ ≈ 239 MeV. The spectrum of the elastic Dπ energy region is computed yielding 20 energy levels. Using the Lüscher finite-volume quantisation condition, these energies are translated into constraints on the infinite-volume scattering amplitudes and hence enable us to map out the energy dependence of elastic Dπ scattering. By analytically continuing a range of scattering amplitudes, a $$ {D}_0^{\ast } $$ D 0 ∗ resonance pole is consistently found strongly coupled to the S-wave Dπ channel, with a mass m ≈ 2200 MeV and a width Γ ≈ 400 MeV. Combined with earlier work investigating the $$ {D}_{s0}^{\ast } $$ D s 0 ∗ , and $$ {D}_0^{\ast } $$ D 0 ∗ with heavier light quarks, similar couplings between each of these scalar states and their relevant meson-meson scattering channels are determined. The mass of the $$ {D}_0^{\ast } $$ D 0 ∗ is consistently found well below that of the $$ {D}_{s0}^{\ast } $$ D s 0 ∗ , in contrast to the currently reported experimental result.

scholarly journals Valence-quark distribution of the kaon and pion from lattice QCD

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Huey-Wen Lin ◽  
Jiunn-Wei Chen ◽  
Zhouyou Fan ◽  
Jian-Hui Zhang ◽  
Rui Zhang
Keyword(s):  
Lattice Qcd ◽  
Valence Quark ◽  
Quark Distribution

scholarly journals Mellin moments ⟨x⟩ and ⟨x2⟩ for the pion and kaon from lattice QCD

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Constantia Alexandrou ◽  
Simone Bacchio ◽  
Ian Cloët ◽  
Martha Constantinou ◽  
Kyriakos Hadjiyiannakou ◽  
...  
Keyword(s):  
Lattice Qcd
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