[Hadstruct] [EXTERNAL] Draft lattice abstract

[Chamness, Christopher]

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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