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1.
A lattice QCD perspective on weak decays of b and c quarks Snowmass 2022 White Paper / Boyle, Peter A. (Brookhaven ; U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Chakraborty, Bipasha (Cambridge U., DAMTP) ; Davies, Christine T.H. (Glasgow U.) ; DeGrand, Thomas (Colorado U.) ; DeTar, Carleton (Utah U.) ; Del Debbio, Luigi (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; El-Khadra, Aida X. (Illinois U., Urbana) ; Erben, Felix (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Flynn, Jonathan M. (U. Southampton (main)) ; Gámiz, Elvira (Granada U., Theor. Phys. Astrophys.) et al.
Lattice quantum chromodynamics has proven to be an indispensable method to determine nonperturbative strong contributions to weak decay processes. [...]
arXiv:2205.15373 ; CERN-TH-2022-036 ; FERMILAB-CONF-22-433-SCD-T ; JLAB-THY-22-3582, MITP-22-020 ; MIT-CTP/5413 ; MS-TP-22-07 ; SI-HEP-2022-11.
- 19.
Fermilab Library Server - eConf - Fulltext - Fulltext
2.
The long-distance window of the hadronic vacuum polarization for the muon g-2 / RBC Collaboration
We provide the first ab-initio calculation of the Euclidean long-distance window of the isospin symmetric light-quark connected contribution to the hadronic vacuum polarization for the muon $g-2$ and find $a_\mu^{\rm LD,iso,conn,ud} = 411.4(4.3)(2.4) \times 10^{-10}$. [...]
arXiv:2410.20590 ; CERN-TH-2024-182.
- 12.
Fulltext
3.
Isospin-breaking corrections to light leptonic decays in lattice QCD+QED at the physical point / Hermansson-Truedsson, Nils (U. Bern, AEC ; Lund U., Dept. Theor. Phys.) ; Boyle, Peter (Edinburgh U. ; Brookhaven) ; Di Carlo, Matteo (Edinburgh U.) ; Erben, Felix (Edinburgh U.) ; Gülpers, Vera (Edinburgh U.) ; Hansen, Maxwell T. (Edinburgh U.) ; Harris, Tim (Edinburgh U.) ; Hodgson, Raoul (Edinburgh U.) ; Jüttner, Andreas (CERN ; Southampton U.) ; hÓgáin, Fionn Ó. (Edinburgh U.) et al.
We report on the physical-point RBC/UKQCD calculation of the leading isospin-breaking corrections to light-meson leptonic decays. This is highly relevant for future precision tests in the flavour physics sector, in particular the first-row unitarity of the Cabibbo-Kobayashi-Maskawa matrix containing the elements $V_{us}$ and $V_{ud}$. [...]
arXiv:2212.04709.- 2022-12-22 - 10 p. - Published in : PoS LATTICE2022 (2023) 411 Fulltext: 2212.04709 - PDF; document - PDF;
In : 39th International Symposium on Lattice Field Theory (Lattice 2022), Bonn, Germany, 8 - 13 Aug 2022, pp.411
4.
FLAG Review 2024 / Flavour Lattice Averaging Group (FLAG) Collaboration
We review lattice results related to pion, kaon, $D$-meson, $B$-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. [...]
arXiv:2411.04268 ; CERN-TH-2024-192 ; FERMILAB-PUB-24-0785-T.
- 435.
Fermilab Library Server - Fulltext - Fulltext
5.
Four-loop two-mass tadpoles and the $\rho$ parameter / Abreu, Samuel (CERN ; U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Behring, Arnd (CERN) ; McLeod, Andrew J. (CERN ; U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Page, Ben (CERN ; Gent U.)
We calculate four-loop QCD corrections to the electroweak $\rho$ parameter with a non-vanishing $b$ quark mass. At three loops, it was observed that elliptic integrals contribute to this observable. [...]
arXiv:2407.21700; CERN-TH-2024-129.- 2024-09-17 - 12 p.
- Published in : PoS: LL2024 (2024) , pp. 008 Fulltext: 2407.21700 - PDF; document - PDF;
In : 17th Loops and Legs in Quantum Field Theory (LL 2024), Wittenberg, Germany, 14 - 19 Apr 2024, pp.008
6.
Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses / Boyle, Peter (Brookhaven ; Edinburgh U.) ; Di Carlo, Matteo (Edinburgh U.) ; Erben, Felix (Edinburgh U.) ; Gülpers, Vera (Edinburgh U.) ; Hansen, Maxwell T. (Edinburgh U.) ; Harris, Tim (Edinburgh U.) ; Hermansson-Truedsson, Nils (Bern U. ; Lund U., Dept. Theor. Phys.) ; Hodgson, Raoul (Edinburgh U.) ; Jüttner, Andreas (Southampton U. ; CERN) ; hÓgáin, Fionn Ó. (Edinburgh U.) et al.
The decreasing uncertainties in theoretical predictions and experimental measurements of several hadronic observables related to weak processes, which in many cases are now smaller than $\mathrm{O}(1\%)$, require theoretical calculations to include subleading corrections that were neglected so far. Precise determinations of leptonic and semi-leptonic decay rates, including QED and strong isospin-breaking effects, can play a central role in solving the current tensions in the first-row unitarity of the CKM matrix. [...]
arXiv:2211.12865; CERN-TH-2022-193; LU-TP 22-59.- 2023-02-27 - 66 p. - Published in : JHEP 2302 (2023) 242 Fulltext: document - PDF; 2211.12865 - PDF;
7.
Combination of aN$^3$LO PDFs and implications for Higgs production cross-sections at the LHC / MSHT Collaboration
We discuss how the two existing approximate N$^3$LO (aN$^3$LO) sets of parton distributions (PDFs) from the MSHT20 and NNPDF4.0 series can be combined for LHC phenomenology, both in the pure QCD case and for the QCD$\otimes$QED sets that include the photon PDF. [...]
arXiv:2411.05373 ; DESY-24-134 ; TIF-UNIMI-2024-17 ; Edinburgh 2024/9 ; CERN-TH-2024-167.
- 22.
Fulltext
8.
FLAG Review 2021 / Flavour Lattice Averaging Group (FLAG) Collaboration
We review lattice results related to pion, kaon, $D$-meson, $B$-meson, and nucleon physics with the aim of making them easily accessible to the nuclear and particle physics communities. More specifically, we report on the determination of the light-quark masses, the form factor $f_+(0)$ arising in the semileptonic $K \to \pi$ transition at zero momentum transfer, as well as the decay constant ratio $f_K/f_\pi$ and its consequences for the CKM matrix elements $V_{us}$ and $V_{ud}$. [...]
arXiv:2111.09849; CERN-TH-2021-191; JLAB-THY-21-3528; FERMILAB-PUB-21-620-SCD-T.- 2022-10-04 - 418 p. - Published in : Eur. Phys. J. C 82 (2022) 869 Fulltext: fermilab-pub-21-620-scd-t - PDF; 2111.09849 - PDF; Fulltext from Publisher: PDF; External link: Fermilab Library Server
9.
Update of Euclidean windows of the hadronic vacuum polarization / RBC Collaboration
We compute the standard Euclidean window of the hadronic vacuum polarization using multiple independent blinded analyses. We improve the continuum and infinite-volume extrapolations of the dominant quark-connected light-quark isospin-symmetric contribution and address additional sub-leading systematic effects from sea-charm quarks and residual chiral-symmetry breaking from first principles. [...]
arXiv:2301.08696.- 2023-09-01 - 24 p. - Published in : Phys. Rev. D 108 (2023) 054507 Fulltext: Publication - PDF; 2301.08696 - PDF;
10.
Disentangling the Regge cut and Regge pole in perturbative QCD / Falcioni, Giulio (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Gardi, Einan (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Maher, Niamh (U. Edinburgh, Higgs Ctr. Theor. Phys.) ; Milloy, Calum (INFN, Turin ; Turin U.) ; Vernazza, Leonardo (INFN, Turin ; Turin U. ; CERN)
The high-energy limit of gauge-theory amplitudes features both a Regge pole and Regge cuts. We show how to disentangle these, and hence how to determine the Regge trajectory beyond two loops. [...]
arXiv:2112.11098; CERN-TH-2021-225.- 2022-03-30 - 7 p. - Published in : Phys. Rev. Lett. 128 (2022) 132001 Fulltext: PhysRevLett.128.132001 - PDF; 2112.11098 - PDF;

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