Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses

Abstract 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 O(1%), require theoretical calculations to include subleading corrections that were neglected so far. Pre...
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Autor*in:	Boyle, Peter [verfasserIn] Di Carlo, Matteo Erben, Felix Gülpers, Vera Hansen, Maxwell T. Harris, Tim Hermansson-Truedsson, Nils Hodgson, Raoul Jüttner, Andreas hÓgáin, Fionn Ó Portelli, Antonin Richings, James Yong, Andrew Zhen Ning

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	CKM Parameters Hadronic Matrix Elements and Weak Decays Lattice QCD Standard Model Parameters

Anmerkung:	© The Author(s) 2023

Übergeordnetes Werk:	Enthalten in: Journal of high energy physics - Berlin : Springer, 1997, 2023(2023), 2 vom: 27. Feb.
Übergeordnetes Werk:	volume:2023 ; year:2023 ; number:2 ; day:27 ; month:02

Links:	Volltext

DOI / URN:	10.1007/JHEP02(2023)242

Katalog-ID:	SPR049675443

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allfields	10.1007/JHEP02(2023)242 doi (DE-627)SPR049675443 (SPR)JHEP02(2023)242-e DE-627 ger DE-627 rakwb eng Boyle, Peter verfasserin aut Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract 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 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. In this work we present the first RBC/UKQCD lattice calculation of the isospin-breaking corrections to the ratio of leptonic decay rates of kaons and pions into muons and neutrinos. The calculation is performed at fixed lattice spacing (a−1 ≃ 1.730 GeV) on a $ 48^{3} $× 96 volume with Nf = 2 + 1 dynamical quarks close to the physical point and domain wall fermions in the Möbius formulation are employed. Long-distance QED interactions are included according to the $ QED_{L} $ prescription and the crucial role of finite-volume electromagnetic corrections in the determination of leptonic decay rates, which produce a large systematic uncertainty, is extensively discussed. Finally, we study the different sources of uncertainty on \|Vus\|/\|Vud\| and observe that, if finite-volume systematics can be reduced, the error from isospin-breaking corrections is potentially sub-dominant in the final precision of the ratio of the CKM matrix elements. CKM Parameters (dpeaa)DE-He213 Hadronic Matrix Elements and Weak Decays (dpeaa)DE-He213 Lattice QCD (dpeaa)DE-He213 Standard Model Parameters (dpeaa)DE-He213 Di Carlo, Matteo aut Erben, Felix aut Gülpers, Vera aut Hansen, Maxwell T. aut Harris, Tim aut Hermansson-Truedsson, Nils aut Hodgson, Raoul aut Jüttner, Andreas aut hÓgáin, Fionn Ó aut Portelli, Antonin aut Richings, James aut Yong, Andrew Zhen Ning aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 2 vom: 27. Feb. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:2 day:27 month:02 https://dx.doi.org/10.1007/JHEP02(2023)242 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 2 27 02
spelling	10.1007/JHEP02(2023)242 doi (DE-627)SPR049675443 (SPR)JHEP02(2023)242-e DE-627 ger DE-627 rakwb eng Boyle, Peter verfasserin aut Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract 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 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. In this work we present the first RBC/UKQCD lattice calculation of the isospin-breaking corrections to the ratio of leptonic decay rates of kaons and pions into muons and neutrinos. The calculation is performed at fixed lattice spacing (a−1 ≃ 1.730 GeV) on a $ 48^{3} $× 96 volume with Nf = 2 + 1 dynamical quarks close to the physical point and domain wall fermions in the Möbius formulation are employed. Long-distance QED interactions are included according to the $ QED_{L} $ prescription and the crucial role of finite-volume electromagnetic corrections in the determination of leptonic decay rates, which produce a large systematic uncertainty, is extensively discussed. Finally, we study the different sources of uncertainty on \|Vus\|/\|Vud\| and observe that, if finite-volume systematics can be reduced, the error from isospin-breaking corrections is potentially sub-dominant in the final precision of the ratio of the CKM matrix elements. CKM Parameters (dpeaa)DE-He213 Hadronic Matrix Elements and Weak Decays (dpeaa)DE-He213 Lattice QCD (dpeaa)DE-He213 Standard Model Parameters (dpeaa)DE-He213 Di Carlo, Matteo aut Erben, Felix aut Gülpers, Vera aut Hansen, Maxwell T. aut Harris, Tim aut Hermansson-Truedsson, Nils aut Hodgson, Raoul aut Jüttner, Andreas aut hÓgáin, Fionn Ó aut Portelli, Antonin aut Richings, James aut Yong, Andrew Zhen Ning aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 2 vom: 27. Feb. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:2 day:27 month:02 https://dx.doi.org/10.1007/JHEP02(2023)242 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 2 27 02
allfields_unstemmed	10.1007/JHEP02(2023)242 doi (DE-627)SPR049675443 (SPR)JHEP02(2023)242-e DE-627 ger DE-627 rakwb eng Boyle, Peter verfasserin aut Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract 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 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. In this work we present the first RBC/UKQCD lattice calculation of the isospin-breaking corrections to the ratio of leptonic decay rates of kaons and pions into muons and neutrinos. The calculation is performed at fixed lattice spacing (a−1 ≃ 1.730 GeV) on a $ 48^{3} $× 96 volume with Nf = 2 + 1 dynamical quarks close to the physical point and domain wall fermions in the Möbius formulation are employed. Long-distance QED interactions are included according to the $ QED_{L} $ prescription and the crucial role of finite-volume electromagnetic corrections in the determination of leptonic decay rates, which produce a large systematic uncertainty, is extensively discussed. Finally, we study the different sources of uncertainty on \|Vus\|/\|Vud\| and observe that, if finite-volume systematics can be reduced, the error from isospin-breaking corrections is potentially sub-dominant in the final precision of the ratio of the CKM matrix elements. CKM Parameters (dpeaa)DE-He213 Hadronic Matrix Elements and Weak Decays (dpeaa)DE-He213 Lattice QCD (dpeaa)DE-He213 Standard Model Parameters (dpeaa)DE-He213 Di Carlo, Matteo aut Erben, Felix aut Gülpers, Vera aut Hansen, Maxwell T. aut Harris, Tim aut Hermansson-Truedsson, Nils aut Hodgson, Raoul aut Jüttner, Andreas aut hÓgáin, Fionn Ó aut Portelli, Antonin aut Richings, James aut Yong, Andrew Zhen Ning aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 2 vom: 27. Feb. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:2 day:27 month:02 https://dx.doi.org/10.1007/JHEP02(2023)242 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 2 27 02
allfieldsGer	10.1007/JHEP02(2023)242 doi (DE-627)SPR049675443 (SPR)JHEP02(2023)242-e DE-627 ger DE-627 rakwb eng Boyle, Peter verfasserin aut Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract 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 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. In this work we present the first RBC/UKQCD lattice calculation of the isospin-breaking corrections to the ratio of leptonic decay rates of kaons and pions into muons and neutrinos. The calculation is performed at fixed lattice spacing (a−1 ≃ 1.730 GeV) on a $ 48^{3} $× 96 volume with Nf = 2 + 1 dynamical quarks close to the physical point and domain wall fermions in the Möbius formulation are employed. Long-distance QED interactions are included according to the $ QED_{L} $ prescription and the crucial role of finite-volume electromagnetic corrections in the determination of leptonic decay rates, which produce a large systematic uncertainty, is extensively discussed. Finally, we study the different sources of uncertainty on \|Vus\|/\|Vud\| and observe that, if finite-volume systematics can be reduced, the error from isospin-breaking corrections is potentially sub-dominant in the final precision of the ratio of the CKM matrix elements. CKM Parameters (dpeaa)DE-He213 Hadronic Matrix Elements and Weak Decays (dpeaa)DE-He213 Lattice QCD (dpeaa)DE-He213 Standard Model Parameters (dpeaa)DE-He213 Di Carlo, Matteo aut Erben, Felix aut Gülpers, Vera aut Hansen, Maxwell T. aut Harris, Tim aut Hermansson-Truedsson, Nils aut Hodgson, Raoul aut Jüttner, Andreas aut hÓgáin, Fionn Ó aut Portelli, Antonin aut Richings, James aut Yong, Andrew Zhen Ning aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 2 vom: 27. Feb. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:2 day:27 month:02 https://dx.doi.org/10.1007/JHEP02(2023)242 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 2 27 02
allfieldsSound	10.1007/JHEP02(2023)242 doi (DE-627)SPR049675443 (SPR)JHEP02(2023)242-e DE-627 ger DE-627 rakwb eng Boyle, Peter verfasserin aut Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract 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 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. In this work we present the first RBC/UKQCD lattice calculation of the isospin-breaking corrections to the ratio of leptonic decay rates of kaons and pions into muons and neutrinos. The calculation is performed at fixed lattice spacing (a−1 ≃ 1.730 GeV) on a $ 48^{3} $× 96 volume with Nf = 2 + 1 dynamical quarks close to the physical point and domain wall fermions in the Möbius formulation are employed. Long-distance QED interactions are included according to the $ QED_{L} $ prescription and the crucial role of finite-volume electromagnetic corrections in the determination of leptonic decay rates, which produce a large systematic uncertainty, is extensively discussed. Finally, we study the different sources of uncertainty on \|Vus\|/\|Vud\| and observe that, if finite-volume systematics can be reduced, the error from isospin-breaking corrections is potentially sub-dominant in the final precision of the ratio of the CKM matrix elements. CKM Parameters (dpeaa)DE-He213 Hadronic Matrix Elements and Weak Decays (dpeaa)DE-He213 Lattice QCD (dpeaa)DE-He213 Standard Model Parameters (dpeaa)DE-He213 Di Carlo, Matteo aut Erben, Felix aut Gülpers, Vera aut Hansen, Maxwell T. aut Harris, Tim aut Hermansson-Truedsson, Nils aut Hodgson, Raoul aut Jüttner, Andreas aut hÓgáin, Fionn Ó aut Portelli, Antonin aut Richings, James aut Yong, Andrew Zhen Ning aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 2 vom: 27. Feb. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:2 day:27 month:02 https://dx.doi.org/10.1007/JHEP02(2023)242 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 2 27 02
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source	Enthalten in Journal of high energy physics 2023(2023), 2 vom: 27. Feb. volume:2023 year:2023 number:2 day:27 month:02
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authorswithroles_txt_mv	Boyle, Peter @@aut@@ Di Carlo, Matteo @@aut@@ Erben, Felix @@aut@@ Gülpers, Vera @@aut@@ Hansen, Maxwell T. @@aut@@ Harris, Tim @@aut@@ Hermansson-Truedsson, Nils @@aut@@ Hodgson, Raoul @@aut@@ Jüttner, Andreas @@aut@@ hÓgáin, Fionn Ó @@aut@@ Portelli, Antonin @@aut@@ Richings, James @@aut@@ Yong, Andrew Zhen Ning @@aut@@
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author	Boyle, Peter
spellingShingle	Boyle, Peter misc CKM Parameters misc Hadronic Matrix Elements and Weak Decays misc Lattice QCD misc Standard Model Parameters Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses
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topic_title	Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses CKM Parameters (dpeaa)DE-He213 Hadronic Matrix Elements and Weak Decays (dpeaa)DE-He213 Lattice QCD (dpeaa)DE-He213 Standard Model Parameters (dpeaa)DE-He213
topic	misc CKM Parameters misc Hadronic Matrix Elements and Weak Decays misc Lattice QCD misc Standard Model Parameters
topic_unstemmed	misc CKM Parameters misc Hadronic Matrix Elements and Weak Decays misc Lattice QCD misc Standard Model Parameters
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title	Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses
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title_full	Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses
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author_browse	Boyle, Peter Di Carlo, Matteo Erben, Felix Gülpers, Vera Hansen, Maxwell T. Harris, Tim Hermansson-Truedsson, Nils Hodgson, Raoul Jüttner, Andreas hÓgáin, Fionn Ó Portelli, Antonin Richings, James Yong, Andrew Zhen Ning
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title_sort	isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses
title_auth	Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses
abstract	Abstract 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 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. In this work we present the first RBC/UKQCD lattice calculation of the isospin-breaking corrections to the ratio of leptonic decay rates of kaons and pions into muons and neutrinos. The calculation is performed at fixed lattice spacing (a−1 ≃ 1.730 GeV) on a $ 48^{3} $× 96 volume with Nf = 2 + 1 dynamical quarks close to the physical point and domain wall fermions in the Möbius formulation are employed. Long-distance QED interactions are included according to the $ QED_{L} $ prescription and the crucial role of finite-volume electromagnetic corrections in the determination of leptonic decay rates, which produce a large systematic uncertainty, is extensively discussed. Finally, we study the different sources of uncertainty on \|Vus\|/\|Vud\| and observe that, if finite-volume systematics can be reduced, the error from isospin-breaking corrections is potentially sub-dominant in the final precision of the ratio of the CKM matrix elements. © The Author(s) 2023
abstractGer	Abstract 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 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. In this work we present the first RBC/UKQCD lattice calculation of the isospin-breaking corrections to the ratio of leptonic decay rates of kaons and pions into muons and neutrinos. The calculation is performed at fixed lattice spacing (a−1 ≃ 1.730 GeV) on a $ 48^{3} $× 96 volume with Nf = 2 + 1 dynamical quarks close to the physical point and domain wall fermions in the Möbius formulation are employed. Long-distance QED interactions are included according to the $ QED_{L} $ prescription and the crucial role of finite-volume electromagnetic corrections in the determination of leptonic decay rates, which produce a large systematic uncertainty, is extensively discussed. Finally, we study the different sources of uncertainty on \|Vus\|/\|Vud\| and observe that, if finite-volume systematics can be reduced, the error from isospin-breaking corrections is potentially sub-dominant in the final precision of the ratio of the CKM matrix elements. © The Author(s) 2023
abstract_unstemmed	Abstract 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 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. In this work we present the first RBC/UKQCD lattice calculation of the isospin-breaking corrections to the ratio of leptonic decay rates of kaons and pions into muons and neutrinos. The calculation is performed at fixed lattice spacing (a−1 ≃ 1.730 GeV) on a $ 48^{3} $× 96 volume with Nf = 2 + 1 dynamical quarks close to the physical point and domain wall fermions in the Möbius formulation are employed. Long-distance QED interactions are included according to the $ QED_{L} $ prescription and the crucial role of finite-volume electromagnetic corrections in the determination of leptonic decay rates, which produce a large systematic uncertainty, is extensively discussed. Finally, we study the different sources of uncertainty on \|Vus\|/\|Vud\| and observe that, if finite-volume systematics can be reduced, the error from isospin-breaking corrections is potentially sub-dominant in the final precision of the ratio of the CKM matrix elements. © The Author(s) 2023
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title_short	Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses
url	https://dx.doi.org/10.1007/JHEP02(2023)242
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author2	Di Carlo, Matteo Erben, Felix Gülpers, Vera Hansen, Maxwell T. Harris, Tim Hermansson-Truedsson, Nils Hodgson, Raoul Jüttner, Andreas hÓgáin, Fionn Ó Portelli, Antonin Richings, James Yong, Andrew Zhen Ning
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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. In this work we present the first RBC/UKQCD lattice calculation of the isospin-breaking corrections to the ratio of leptonic decay rates of kaons and pions into muons and neutrinos. The calculation is performed at fixed lattice spacing (a−1 ≃ 1.730 GeV) on a $ 48^{3} $× 96 volume with Nf = 2 + 1 dynamical quarks close to the physical point and domain wall fermions in the Möbius formulation are employed. Long-distance QED interactions are included according to the $ QED_{L} $ prescription and the crucial role of finite-volume electromagnetic corrections in the determination of leptonic decay rates, which produce a large systematic uncertainty, is extensively discussed. Finally, we study the different sources of uncertainty on \|Vus\|/\|Vud\| and observe that, if finite-volume systematics can be reduced, the error from isospin-breaking corrections is potentially sub-dominant in the final precision of the ratio of the CKM matrix elements.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">CKM Parameters</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Hadronic Matrix Elements and Weak Decays</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lattice QCD</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Standard Model Parameters</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Di Carlo, Matteo</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Erben, Felix</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gülpers, Vera</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hansen, Maxwell T.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Harris, Tim</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hermansson-Truedsson, Nils</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hodgson, Raoul</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Jüttner, Andreas</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">hÓgáin, Fionn Ó</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Portelli, Antonin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Richings, James</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Yong, Andrew Zhen Ning</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of high energy physics</subfield><subfield code="d">Berlin : Springer, 1997</subfield><subfield code="g">2023(2023), 2 vom: 27. 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Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses

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