[Hadstruct] [EXTERNAL] Draft lattice abstract

[Savvas Zafeiropoulos]

Hi Chris,
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.
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.
Can't we use <x>_s from the literature and/or compute it ourselves?

Thanks & Best,
Savvas

On Tue, Sep 30, 2025 at 7:57 AM Chamness, Christopher <cdchamness at wm.edu>
wrote:

> 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
>
> \mathfrak{M}(p, z) = ( M(p, z) M(0, 0) ) / ( M(0, z) M(p, 0) )
>
> which works to cancel the multiplicative divergences.
>
> 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.
>
> Thanks,
>
> Christopher Chamness
> cdchamness at wm.edu
> ------------------------------
> *From:* Hadstruct <hadstruct-bounces at jlab.org> on behalf of Christopher
> Monahan via Hadstruct <hadstruct at jlab.org>
> *Sent:* Monday, September 29, 2025 9:41 PM
> *To:* Savvas Zafeiropoulos <savvaslz at gmail.com>
> *Cc:* Joseph Karpie via Hadstruct <hadstruct at jlab.org>
> *Subject:* Re: [Hadstruct] [EXTERNAL] Draft lattice abstract
>
> Hi Savvas,
>
> 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.
>
> Regards
> Chris
>
> ---
>
> Chris Monahan
> Pronouns: he/his
> Department of Physics
> Colorado College
> (719) 389-6236
> ------------------------------
> *From:* Savvas Zafeiropoulos <savvaslz at gmail.com>
> *Sent:* 29 September 2025 13:42
> *To:* Christopher Monahan <cmonahan2024 at coloradocollege.edu>
> *Cc:* Joseph Karpie via Hadstruct <hadstruct at jlab.org>
> *Subject:* Re: [Hadstruct] [EXTERNAL] Draft lattice abstract
>
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> Hi Chris,
>
> 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)?
>
> Best,
> Savvas
>
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