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SUMMARY:Topical Seminar: PDF Moments from Flowed Local Operators: A Lattic
 e QCD Approach to Hadron Structure
DTSTART;VALUE=DATE-TIME:20260914T100000Z
DTEND;VALUE=DATE-TIME:20260914T110000Z
DTSTAMP;VALUE=DATE-TIME:20260907T173528Z
UID:indico-event-8732@indico.ific.uv.es
DESCRIPTION:\nMoments of parton distribution functions encode fundamental 
 information about the quark and gluon structure of hadrons. Their determin
 ation in lattice QCD using standard local operators is\, however\, limited
  by renormalization and mixing problems\, particularly for higher moments.
 \n\nI will discuss a new strategy based on local twist-two operators defin
 ed at positive gradient-flow time that resolves this theoretical obstructi
 on and allows\, at least in principle\, the computation of PDF moments of 
 any order. At nonzero flow time\, these operators have particularly simple
  renormalization properties and can be constructed so as to avoid power-di
 vergent mixing. This makes it possible to take the continuum limit at fixe
 d physical flow time before matching to physical PDF moments in the contin
 uum through the short-flow-time expansion.\n\nI will describe the flowed-l
 ocal-operator framework and present numerical applications to pion and nuc
 leon flavor non-singlet PDF moments\, discussing the main statistical and 
 systematic uncertainties\, with particular emphasis on the continuum and s
 mall-flow-time extrapolations. These studies demonstrate the viability of 
 the method and its potential to access higher moments that are difficult t
 o determine with traditional local-operator techniques. In the non-singlet
  sector\, where numerical results are currently available\, preliminary pr
 ojections indicate that the method could become competitive with global fi
 ts of experimental data. More generally\, the framework is applicable beyo
 nd the non-singlet sector and provides a path toward a broader first-princ
 iples determination of hadron structure from lattice QCD.\n\n\nhttps://ind
 ico.ific.uv.es/event/8732/
LOCATION:Universe 1001-Primera-1-1-1 - Paterna. Seminario
URL:https://indico.ific.uv.es/event/8732/
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