<div dir="ltr">Hi Chris,<div>indeed you are raising a good point. Joe had some idea how to deal with this in a SF setup and he has already written some notes but it might be complicated.</div><div>Can you explain to me why we can not follow an approach similar to the gluon PDF? In our paper we used <x_g> from the literature and now Alex is computing <x_g> explicitly using the local operator and GF.</div><div>Can't we use <x>_s from the literature and/or compute it ourselves?</div><div><br></div><div>Thanks & Best,</div><div>Savvas</div></div><br><div class="gmail_quote gmail_quote_container"><div dir="ltr" class="gmail_attr">On Tue, Sep 30, 2025 at 7:57 AM Chamness, Christopher <<a href="mailto:cdchamness@wm.edu">cdchamness@wm.edu</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div class="msg-8739835963010160778">




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The strange disco loops matrix elements have been fitted, but I believe there was some debate on the correct method of producing a RGI quantity. For the light quarks we use the double ratio with the full connected contribution</div>
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\mathfrak{M}(p, z) = ( M(p, z) M(0, 0) ) / ( M(0, z) M(p, 0) )</div>
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which works to cancel the multiplicative divergences. </div>
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However, for the  strange loops there is no strange connected contribution as there are no valence strange quarks. Similarly, we cannot just use the fit results solely from the disco loops due to the fact that at \nu = 0 (which is 3 of the 4 terms) the value
 of the disco loop fits is 0. In order to visualize the results of the strange loops, I did use the connected isoscalar light quark matrix elements in place, which is what is in the plot sent with this. Using this method should have the same multiplicative
 renomalizable factors (at least the parts due to the Wilson line as it is using the same shaped Wilson lines) but the normalization may be very off.</div>
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<span style="background-color:rgb(255,255,255)">Thanks,</span></div>
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<span style="background-color:rgb(255,255,255)">Christopher Chamness</span></div>
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<span style="background-color:rgb(255,255,255)"><a href="mailto:cdchamness@wm.edu" target="_blank">cdchamness@wm.edu</a></span></div>
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<b>From:</b> Hadstruct <<a href="mailto:hadstruct-bounces@jlab.org" target="_blank">hadstruct-bounces@jlab.org</a>> on behalf of Christopher Monahan via Hadstruct <<a href="mailto:hadstruct@jlab.org" target="_blank">hadstruct@jlab.org</a>><br>
<b>Sent:</b> Monday, September 29, 2025 9:41 PM<br>
<b>To:</b> Savvas Zafeiropoulos <<a href="mailto:savvaslz@gmail.com" target="_blank">savvaslz@gmail.com</a>><br>
<b>Cc:</b> Joseph Karpie via Hadstruct <<a href="mailto:hadstruct@jlab.org" target="_blank">hadstruct@jlab.org</a>><br>
<b>Subject:</b> Re: [Hadstruct] [EXTERNAL] Draft lattice abstract</div>
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Hi Savvas,</div>
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Thank you. I am happy to share strange disco results if those are ready, but I was not planning to mention that in the abstract, in case they aren't. I figured just leaving "isoscalar quark" is broad enough to cover both cases.</div>
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Regards</div>
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Chris</div>
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Chris Monahan</div>
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Colorado College</div>
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<b>From:</b> Savvas Zafeiropoulos <<a href="mailto:savvaslz@gmail.com" target="_blank">savvaslz@gmail.com</a>><br>
<b>Sent:</b> 29 September 2025 13:42<br>
<b>To:</b> Christopher Monahan <<a href="mailto:cmonahan2024@coloradocollege.edu" target="_blank">cmonahan2024@coloradocollege.edu</a>><br>
<b>Cc:</b> Joseph Karpie via Hadstruct <<a href="mailto:hadstruct@jlab.org" target="_blank">hadstruct@jlab.org</a>><br>
<b>Subject:</b> Re: [Hadstruct] [EXTERNAL] Draft lattice abstract</div>
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<div style="direction:ltr;font-size:9pt">This email originated outside Colorado College. Do not click links or attachments unless you know the content is safe.</div>
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<div style="direction:ltr">Hi Chris,</div>
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<div style="direction:ltr">looks very good. Are you planning only to show the disco results for light quarks or strange too (if we manage to have these results ready)?</div>
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<div style="direction:ltr">Best,</div>
<div style="direction:ltr">Savvas</div>
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