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SUMMARY:Parton Distribution Functions from pseudo-distributions
DTSTART:20200807T054000Z
DTEND:20200807T060000Z
DTSTAMP:20241108T184200Z
UID:indico-contribution-2067@conference-indico.kek.jp
DESCRIPTION:Speakers: Aurora Scapellato\, Krzysztof Cichy\, Martha Constan
tinou \, Manjunath Bhat (*) (Adam Mickiewicz University)\n\nWe present a d
etailed study of the nucleon unpolarized parton distribution function (PDF
) using the approach of parton pseudo-distribution functions. We use this
method to extract PDFs from the lattice results obtained using simulations
with the\nlight quark mass fixed to its physical value. Then\, the physic
al Ioffe time distributions are obtained from the nucleon matrix elements
extracted from lattice simulations through a matching procedure. We recons
truct the PDF using different approaches. Using a direct Fourier transform
of Ioffe-time data poses an inverse problem\, due to the ill-defined inve
rse equation. We use two advanced reconstruction techniques to tackle this
problem: the Backus-Gilbert method and fitting data to a suitable functio
n as implied by global fitting in phenomenology. We fit the real and imagi
nary parts of Ioffe-time data to the cosine and sine Fourier transform of
$x^a(1-x)^b$ type function\, respectively. We find good agreement with PD
Fs from global fits and it is further improved by quantifying several syst
ematic effects.\n\nhttps://conference-indico.kek.jp/event/113/contribution
s/2067/
LOCATION:online
RELATED-TO:indico-event-113@conference-indico.kek.jp
URL:https://conference-indico.kek.jp/event/113/contributions/2067/
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