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Form Factors from Lattice QCD.

Form Factors from Lattice QCD.
Author:
Publisher:
Total Pages:
Release: 2012
Genre:
ISBN:

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Precision computation of hadronic physics with lattice QCD is becoming feasible. The last decade has seen precent-level calculations of many simple properties of mesons, and the last few years have seen calculations of baryon masses, including the nucleon mass, accurate to a few percent. As computational power increases and algorithms advance, the precise calculation of a variety of more demanding hadronic properties will become realistic. With this in mind, I discuss the current lattice QCD calculations of generalized parton distributions with an emphasis on the prospects for well-controlled calculations for these observables as well. I will do this by way of several examples: the pion and nucleon form factors and moments of the nucleon parton and generalized-parton distributions.


Physical Nucleon Form Factors from Lattice QCD.

Physical Nucleon Form Factors from Lattice QCD.
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Release: 2005
Genre:
ISBN:

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We explore the possibility of extrapolating state of the art lattice QCD calculations of nucleon form factors to the physical regime. We nd that the lattice results can be reproduced using the Light Front Cloudy Bag Model by letting its parameters be analytic functions of the quark mass. We then use the model to extend the lattice calculations to large values of Q2 of interest to current and planned experiments. These functions are also used to dene extrapolations to the physical value of the pion mass, thereby allowing us to study how the predicted zero in GE(Q2)/GM(Q2) varies as a function of quark mass.


Electromagnetic Form Factors of Charmed Baryons in Lattice QCD

Electromagnetic Form Factors of Charmed Baryons in Lattice QCD
Author: Kadir Utku Can
Publisher: Springer
Total Pages: 132
Release: 2018-04-06
Genre: Science
ISBN: 9811089957

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This thesis presents the first lattice quantum chromodynamics (QCD) approach to the charmed baryon regime, building on the knowledge and experience gained with former lattice QCD applications to nucleon structure. The thesis provides valuable insights into the dynamics of yet unobserved charmed baryon systems. Most notably, it confirms that the expectations of model or effective field theoretical calculations of heavy-hadron systems hold qualitatively, while also demonstrating that they conflict with the quantitative results, pointing to a tension between these complementary approaches. Further, the book presents a cutting-edge approach to understanding the structure and dynamics of hadrons made of quarks and gluons using QCD, and successfully extends the approach to charmed hadrons. In particular, the thesis investigate a peculiar property of charmed hadrons whose dynamics, i.e., structure, deviates from their counterparts, e.g., those of protons and neutrons, by employing the lattice QCD approach —a state-of-the-art numerical method and the powerful ab initio, non-perturbative method.


Physical Nucleon Form Factors from Lattice QCD.

Physical Nucleon Form Factors from Lattice QCD.
Author:
Publisher:
Total Pages:
Release: 2005
Genre:
ISBN:

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We explore the possibility of extrapolating state of the art lattice QCD calculations of nucleon form factors to the physical regime. We find that the lattice results can be reproduced using the Light Front Cloudy Bag Model and the Extended Gari-Krmpelmann Model by letting their parameters be analytic functions of the quark mass. We then use the models to extend the lattice calculations to large values of Q2 of interest to current and planned experiments. These functions for the first model are also used to define extrapolations to the physical value of the pion mass, thereby allowing us to study how the predicted zero in G{sub E}(Q2)/G{sub M}(Q2) varies as a function of quark mass.


Lattice QCD Results for the B --] D(*) L Nu Form Factors

Lattice QCD Results for the B --] D(*) L Nu Form Factors
Author:
Publisher:
Total Pages: 4
Release: 2007
Genre:
ISBN:

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I review the current status of lattice QCD calculations of the B → D and B → D* form factors and discuss prospects for their improvement. Successful calculations within the quenched approximation demonstrate the power of lattice methods for calculating F(1) and G(1), and the unquenched calculations in progress should soon allow for a 2-3% exclusive determination of.


Kaon and D Meson Semileptonic Form Factors from Lattice QCD.

Kaon and D Meson Semileptonic Form Factors from Lattice QCD.
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Release: 2014
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ISBN:

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We present the status of on-going calculations of the $K\to\pi l\nu$ and $D\to K(\pi) l\nu$ semileptonic form factors at $q^2=0$. These form factors are important for the determination of the CKM matrix elements $\lvert{V_{us}}\rvert$ and $\lvert{V_{cs(d)}}\rvert$ respectively. This work uses the HISQ action for both valence quarks and sea quarks on MILC $N_f=2+1+1$ configurations. We employ twisted boundary conditions to calculate the form factors at zero momentum transfer directly. The $K\to\pi$ results are an update to previously published results with new data at the physical point. The $D\to K(\pi)$ results are preliminary.


Visualization of Semileptonic Form Factors from Lattice QCD.

Visualization of Semileptonic Form Factors from Lattice QCD.
Author:
Publisher:
Total Pages: 6
Release: 2009
Genre:
ISBN:

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Comparisons of lattice-QCD calculations of semileptonic form factors with experimental measurements often display two sets of points, one each for lattice QCD and experiment. Here we propose to display the output of a lattice-QCD analysis as a curve and error band. This is justified, because lattice-QCD results rely in part on fitting, both for the chiral extrapolation and to extend lattice-QCD data over the full physically allowed kinematic domain. To display an error band, correlations in the fit parameters must be taken into account. For the statistical error, the correlation comes from the fit. To illustrate how to address correlations in the systematic errors, we use the Becirevic-Kaidalov parametrization of the D → [pi]l[nu] and D → Kl[nu] form factors, and a analyticity-based fit for the B → [pi]l[nu] form factor f+.