[Hadstruct] [EXTERNAL] Re: Proposed abstracts for Lattice 2021

[Wayne Morris]

*Unpolarized and polarized gluon pseudo-distributions at short distances:
Forward case*

We present the results that are necessary in the ongoing lattice
calculations of the unpolarized and polarized gluon parton distribution
functions (PDFs) within the pseudo-PDF approach. We give a classification
of possible two-gluon correlator functions and identify those that contain
the invariant amplitude determining the gluon PDF in the light-cone $z^2\to
0$ limit. One-loop calculations have been performed in the coordinate
representation and in an explicitly gauge-invariant form. We made an effort
to separate ultraviolet (UV) and infrared (IR) sources of the $\ln
\left(-z^2\right) $-dependence at short distances $z^2$. The UV terms
cancel in the reduced Ioffe-time distribution (ITD), and we obtain the
matching relation between the reduced ITD and the light-cone ITD. Using a
kernel form, we get a direct connection between lattice data for the
reduced ITD and the normalized gluon PDF.

On Thu, Apr 29, 2021 at 11:09 AM Md Tanjib Atique Khan <mkhan01 at email.wm.edu>
wrote:

> Dear all,
>
> Here is my abstract for Lattice21.
>
> Title: Calculation of the Gluon PDF using Pseudo-PDF technique
>
> Abstract:
>
> We present our calculation of the unpolarized gluon parton distribution function (PDF) in the nucleon using Pseudo-PDF technique on a $32^3 \times 64$
> isotropic lattice with a pion mass of 358 MeV. The nucleon interpolating fields are constructed using the distillation method while the sGEVP method is
> used to calculate the gluonic matrix elements. We implement the gradient-flow technique to compute the flowed matrix elements and using the double ratio,
> calculate the flowed reduced Ioffe-time distribution (rITD). We extrapolate the results to the flow-time independent rITD and calculate the light-cone ITD
> in $\overline{MS}$ scheme, at the small z-separation limit, using NLO matching formula. Finally, the gluon PDF is calculated from the light-cone ITD by
> applying appropriate kernel form.
>
> Thanks,
>
> Tanjib
>
>
> On Wed, Apr 28, 2021 at 5:55 PM Savvas Zafeiropoulos <savvaslz at gmail.com>
> wrote:
>
>> Dear All,
>>
>> here is my abstract and title for lattice 2021
>>
>> *Progress on the extraction of parton distributions from Ioffe time
>> distributions*
>>
>> The light-cone definition of Parton Distribution Functions (PDFs) does
>> not allow for a direct ab initio determination employing methods of Lattice
>> QCD simulations that naturally take place in Euclidean spacetime. In this
>> presentation we focus on pseudo-PDFs where the starting point is the equal
>> time hadronic matrix element with the quark and anti-quark fields separated
>> by a finite distance. We focus on Ioffe-time distributions, which are
>> functions of the Ioffe-time ν, and can be understood as the Fourier
>> transforms of parton distribution functions with respect to the momentum
>> fraction variable x. We present lattice results for the case of the nucleon
>> addressing the physical point and continuum extrapolations. We also
>> incorporate our lattice data in the NNPDF framework treating them on the
>> same footing as experimental data and discuss in detail the different
>> sources of systematics in the determination of the non-singlet PDFs.
>>
>> Since I am going to present results from three published papers all the
>> authors of those papers will be contributors for my talk in the indico
>> website.
>> If anyone has a suggestion/correction etc please let me know!
>>
>> Best,
>> Savvas
>>
>> On Wed, Apr 28, 2021 at 3:55 PM Raza Sufian <sufian at jlab.org> wrote:
>>
>>> Dear All,
>>>
>>> Below please find the proposed abstracts for the Lattice 2021
>>> conference. The deadline for abstract submission is on Friday, April 30.
>>> Please try to circulate your abstracts sometime tomorrow for comments.
>>> Please let us know if I forgot to list any other proposed abstract.
>>>
>>> CK: Nucleon valence distribution using distillation
>>>
>>> SZ: Nucleon valence distribution (continuum limit, physical point
>>> extrapolation + NNPDF analysis)
>>>
>>> TK: Unpolarized gluon distribution
>>>
>>> JK: RBC/UKQCD
>>>
>>> NK: Transversity
>>>
>>> RSS: Polarized gluon distribution
>>>
>>> WM: Perturbative matching for …
>>>
>>>
>>> *TBD:*
>>>
>>> Patrick Barry
>>>
>>> CE
>>>
>>> Thank you.
>>> -Raza
>>> _______________________________________________
>>> Hadstruct mailing list
>>> Hadstruct at jlab.org
>>> https://mailman.jlab.org/mailman/listinfo/hadstruct
>>>
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