002799242 001__ 2799242
002799242 005__ 20240921041117.0
002799242 0248_ $$aoai:cds.cern.ch:2799242$$pcerncds:FULLTEXT$$pcerncds:CERN:FULLTEXT$$pcerncds:CERN
002799242 0247_ $$2DOI$$9SISSA$$a10.22323/1.396.0110
002799242 037__ $$9arXiv$$aarXiv:2112.11823$$chep-lat
002799242 035__ $$9arXiv$$aoai:arXiv.org:2112.11823
002799242 035__ $$9Inspire$$aoai:inspirehep.net:1995781$$d2024-09-19T14:44:52Z$$h2024-09-21T02:00:13Z$$mmarcxml$$ttrue$$uhttps://inspirehep.net/api/oai2d
002799242 035__ $$9Inspire$$a1995781
002799242 041__ $$aeng
002799242 100__ $$aYong, Andrew Zhen Ning$$uEdinburgh U.
002799242 245__ $$9SISSA$$aNear Physical Point Lattice Calculation of Isospin-Breaking Corrections to $K_{\ell2}/\pi_{\ell2}$
002799242 269__ $$c2021-12-22
002799242 260__ $$c2022-05-16
002799242 300__ $$a11 p
002799242 500__ $$9arXiv$$a11 pages, 4 figures; Updated Author(s) metadata
002799242 520__ $$9SISSA$$aIn recent years, lattice determinations of non-perturbative quantities such as $f_K$ and $f_\pi$, which are relevant for $V_{us}$ and $V_{ud}$, have reached an impressive precision of $\mathcal{O}(1\%)$ or better. To make further progress, electromagnetic and strong isospin breaking effects must be included in lattice QCD simulations.
We present the status of the RBC\&UKQCD lattice calculation of isospin-breaking corrections to light meson leptonic decays. This computation is performed in a (2+1)-flavor QCD simulation using Domain Wall Fermions with near-physical quark masses. The isospin-breaking effects are implemented via a perturbative expansion of the action in $\alpha$ and $(m_u-m_d)$. In this calculation, we work in the electro-quenched approximation and the photons are implemented in the Feynman gauge and $\text{QED}_\text{L}$ formulation.
002799242 520__ $$9arXiv$$aIn recent years, lattice determinations of non-perturbative quantities such as $f_K$ and $f_\pi$, which are relevant for $V_{us}$ and $V_{ud}$, have reached an impressive precision of $\mathcal{O}(1\%)$ or better. To make further progress, electromagnetic and strong isospin breaking effects must be included in lattice QCD simulations. We present the status of the RBC/UKQCD lattice calculation of isospin-breaking corrections to light meson leptonic decays. This computation is performed in a (2+1)-flavor QCD simulation using Domain Wall Fermions with near-physical quark masses. The isospin-breaking effects are implemented via a perturbative expansion of the action in $\alpha$ and $(m_u-m_d)$. In this calculation, we work in the electro-quenched approximation and the photons are implemented in the Feynman gauge and $\text{QED}_\text{L}$ formulation.
002799242 540__ $$3preprint$$aCC BY-NC-SA 4.0$$uhttp://creativecommons.org/licenses/by-nc-sa/4.0/
002799242 540__ $$3publication$$aCC-BY-NC-ND-4.0$$bSISSA$$uhttps://creativecommons.org/licenses/by-nc-nd/4.0/
002799242 542__ $$3publication$$dThe author(s)$$g2022
002799242 595_D $$aY$$d2021-12-29$$sabs
002799242 595_D $$aY$$d2022-01-03$$sprinted
002799242 65017 $$2arXiv$$ahep-lat
002799242 65017 $$2SzGeCERN$$aParticle Physics - Lattice
002799242 690C_ $$aCERN
002799242 690C_ $$aARTICLE
002799242 700__ $$aBoyle, Peter$$uEdinburgh U.$$uBrookhaven
002799242 700__ $$aDi Carlo, Matteo$$uEdinburgh U.
002799242 700__ $$aErben, Felix$$uEdinburgh U.
002799242 700__ $$aGülpers, Vera$$uEdinburgh U.
002799242 700__ $$aHansen, Maxwell T.$$uEdinburgh U.
002799242 700__ $$aHarris, Tim$$uEdinburgh U.
002799242 700__ $$aHermansson-Truedsson, Nils$$uU. Bern, AEC
002799242 700__ $$aHodgson, Raoul$$uEdinburgh U.
002799242 700__ $$aJüttner, Andreas$$uSouthampton U.$$uCERN
002799242 700__ $$aPortelli, Antonin$$uEdinburgh U.
002799242 700__ $$aRichings, James$$uEdinburgh U.
002799242 773__ $$c110$$pPoS$$vLATTICE2021$$wC21-07-26.3$$y2022
002799242 8564_ $$82345419$$s8424$$uhttps://cds.cern.ch/record/2799242/files/diagram-sib.png$$y00002 Feynman diagrams of scalar insertions on quark legs (marked with red boxes).
002799242 8564_ $$82345420$$s18774$$uhttps://cds.cern.ch/record/2799242/files/r-wall-pt-scalar-pa-pionp-mud-b96-folded.png$$y00000 A combined fit of all correlator ratios defined in Equation \eqref{eq: factorisable IB correlator}. The pink points are the $m_{ud}$ scalar insertion data and should be read with the left $y$-axis, while the green points are the QED data and should be read with the right $y$-axis. The blue and orange lines are the fits to the scalar insertion and QED data, respectively. The error bands are not visible. For this combined fit, $\chi^2/dof=70/52=1.35$, $p-$value$=0.099$.
002799242 8564_ $$82345421$$s87868$$uhttps://cds.cern.ch/record/2799242/files/r-kaon-dt24-b96-with-relim-tag-and-inset.png$$y00001 The non-factorisable correlator ratio defined in Equation \eqref{eq: nonfactorisable IB ratio}. The red line and pink error band is the result of a combined fit of the hadron-leptonic correlators, in which only $t_\mu-t_H=24$ is shown here. For this combined fit, $\chi^2/dof=29/31=0.94$, $p-$value$=0.812$.
002799242 8564_ $$82345422$$s741866$$uhttps://cds.cern.ch/record/2799242/files/2112.11823.pdf$$yFulltext
002799242 8564_ $$82345423$$s17336$$uhttps://cds.cern.ch/record/2799242/files/diagram-qed.png$$y00003 Feynman diagrams of all possible insertions of the electromagnetic current (marked with green squiggle lines) at $\order (\alpha)$. QED interactions with sea quarks are neglected.
002799242 8564_ $$82373396$$s662482$$uhttps://cds.cern.ch/record/2799242/files/document.pdf$$yFulltext
002799242 960__ $$a13
002799242 962__ $$b2781170$$k110$$nonline20210726c
002799242 980__ $$aConferencePaper
002799242 980__ $$aARTICLE