| Article | |
| Report number | arXiv:2510.09403 ; DO-TH 23/16 ; DESY 25-125 ; RISC Report series 25-07 ; ZU-TH 66/25 |
| Title | The two-mass contributions to the three-loop massive operator matrix elements ${\widetilde{A}}_{Qg}^{(3)}$ and ${\Delta \widetilde{A}}_{Qg}^{(3)}$ |
| Author(s) | Ablinger, J. (Linz U. ; Linz U., RISC) ; Blümlein, J. (DESY, Zeuthen ; Dortmund U.) ; De Freitas, A. (Linz U. ; Linz U., RISC) ; von Manteuffel, A. (U. Regensburg (main)) ; Schneider, C. (Linz U. ; Linz U., RISC) ; Schönwald, K. (Zurich U. ; CERN) |
| Publication | 2026-01-16 |
| Imprint | 2025-10-10 |
| Number of pages | 53 |
| In: | JHEP 2601 (2026) 111 |
| DOI | 10.1007/JHEP01(2026)111 |
| Subject category | Particle Physics - Theory ; Particle Physics - Phenomenology |
| Abstract | We calculate the two-mass three-loop contributions to the unpolarized and polarized massive operator matrix elements $\tilde{A}_{Qg}^{(3)}$ and $Δ\tilde{A}_{Qg}^{(3)}$ in $x$-space for a general mass ratio by using a semi-analytic approach. We also compute Mellin moments up to $N = 2000 (3000)$ by an independent method, to which we compare the results in $x$-space. In the polarized case, we work in the Larin scheme. We present numerical results. The two-mass contributions amount to about $50 \%$ of the full \textcolor{blue}{$O(T_F^2)$} and \textcolor{blue}{$O(T_F^3)$} terms contributing to the operator matrix elements. The present result completes the calculation of all unpolarized and polarized massive three-loop operator matrix elements. |
| Copyright/License | publication: © 2026 The Author(s) (License: CC-BY-4.0), sponsored by SCOAP³ preprint: (License: CC BY 4.0) |
Corresponding record in: Inspire
Record created 2026-03-04, last modified 2026-03-25
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