Leptonic decay-constant ratio 
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 from lattice QCD using 
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 clover-improved fermion flavors with 2-HEX smearing

Dürr, Stephan; Fodor, Z.; Hoelbling, Christian; Krieg, Stefan; Lellouch, Laurent; Lippert, Thomas; Rae, Thomas; Schäfer, Andreas; Scholz, Enno E.; Szabó, Kornélia; Varnhorst, Lukas

doi:10.1103/physrevd.95.054513

Cited by 17 publications

(33 citation statements)

References 48 publications

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“…IV, made by truncating the infinite series at suitable points, is sufficiently precise for purposes of data fitting against the results of the lattice simulations presented in [27,31].…”

Section: B Simplified Expressions For Three Mass Scale Sunset Resultsmentioning

confidence: 99%

“…The truncated results presented below have been tested for all the sets of meson masses presented in the lattice study of [27], and for the majority of these mass values, the truncated expressions give results that are accurate up to 1% of the exact value. The numerical implications and accuracy of these approximate results are studied in more detail in Sec.…”

Section: Approximate Results For the Three Mass Sunsetsmentioning

confidence: 99%

“…Indeed, the truncations were performed on the full expressions of the sunsets in such a manner that the numerical deviation of the approximations from the exact values was less than 1% for the majority of the meson masses used in [27]. More specifically, forH Figure 3 gives a graphical representation of the relative errors of the truncated sunset expressions over a range of values of ρ.…”

Section: B Simplified Expressions For Three Mass Scale Sunset Resultsmentioning

confidence: 99%

“…Sunset lattice simulations of [27]. The large divergence between the numbers obtained using the physical and GMO mass inputs on one hand, and the lattice mass inputs on the other hand, demonstrate the necessity to use lattice results carefully when comparing with the expressions presented in this paper.…”

Section: Fitmentioning

confidence: 99%

“…The lattice expressions given in Sec. VI are suitable for fits with the data given in [27], and an illustrative fit with these expressions is presented in [1].…”

Section: ð3þmentioning

confidence: 99%

See 4 more Smart Citations

Analytic representations of mK , FK , mη
Ananthanarayan
¹
,
Bijnens
²
,
Friot
³

et al. 2018
Phys. Rev. D
16
0
20
1
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In this work, we consider expressions for the masses and decay constants of the pseudoscalar mesons in SUð3Þ chiral perturbation theory. These involve sunset diagrams and their derivatives evaluated at p 2 ¼ mRecalling that there are three mass scales in this theory, m π , m K and m η , there are instances when the finite part of the sunset diagrams do not admit an expression in terms of elementary functions, and have therefore been evaluated numerically in the past. In a recent publication, an expansion in the external momentum was performed to obtain approximate analytic expressions for m π and F π , the pion mass and decay constant. We provide fully analytic exact expressions for m K and m η , the kaon and eta masses, and F K and F η , the kaon and eta decay constants. These expressions, calculated using Mellin-Barnes methods, are in the form of double series in terms of two mass ratios. A numerical analysis of the results to evaluate the relative size of contributions coming from loops, chiral logarithms as well as phenomenological lowenergy constants is presented. We also present a set of approximate analytic expressions for m K , F K , m η and F η that facilitate comparisons with lattice results. Finally, we show how exact analytic expressions for m π and F π may be obtained, the latter having been used in conjunction with the results for F K to produce a recently published analytic representation of F K =F π .

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“…IV, made by truncating the infinite series at suitable points, is sufficiently precise for purposes of data fitting against the results of the lattice simulations presented in [27,31].…”

Section: B Simplified Expressions For Three Mass Scale Sunset Resultsmentioning

confidence: 99%

Section: Approximate Results For the Three Mass Sunsetsmentioning

confidence: 99%

Section: B Simplified Expressions For Three Mass Scale Sunset Resultsmentioning

confidence: 99%

Section: Fitmentioning

confidence: 99%

“…The lattice expressions given in Sec. VI are suitable for fits with the data given in [27], and an illustrative fit with these expressions is presented in [1].…”

Section: ð3þmentioning

confidence: 99%

See 3 more Smart Citations

Analytic representations of mK , FK , mη
Ananthanarayan
¹
,
Bijnens
²
,
Friot
³

et al. 2018
Phys. Rev. D
16
0
20
1
View full text Add to dashboard Cite

show abstract

Semileptonic weak Hamiltonian to $$ \mathcal{O} $$(ααs) in momentum-space subtraction schemes

Gorbahn

Jäger

Moretti

et al. 2023

J. High Energ. Phys.

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The CKM unitarity precision test of the Standard Model requires a systematic treatment of electromagnetic and strong corrections for semi-leptonic decays. Electromagnetic corrections require the renormalization of a semileptonic four-fermion operator. In this work we calculate the $$ \mathcal{O} $$ O (ααs) perturbative scheme conversion between the $$ \overline{\textrm{MS}} $$ MS ¯ scheme and several momentum-space subtraction schemes, which can also be implemented on the lattice. We consider schemes defined by MOM and SMOM kinematics and emphasize the importance of the choice of projector for each case. The conventional projector, that has been used in the literature for MOM kinematics, generates QCD corrections to the conversion factor that do not vanish for α = 0 and which generate an artificial dependence on the lattice matching scale that would only disappear after summing all orders of perturbation theory. This can be traced to the violation of a Ward identity that holds in the α = 0 limit. We show how to remedy this by judicious choices of projector, and define two new schemes $$ \overline{\textrm{RI}} $$ RI ¯ -MOM and $$ \overline{\textrm{RI}} $$ RI ¯ -SMOM. We prove that the Wilson coefficients in the new schemes are free from pure QCD contributions, and find that the Wilson coefficients (and operator matrix elements) have greatly reduced scale dependence. Our choice of the $$ \overline{\textrm{MS}} $$ MS ¯ scheme over the traditional W-mass scheme is motivated by the fact that, besides being more tractable at higher orders, unlike the latter it allows for a transparent separation of scales. We exploit this to obtain renormalization-group-improved leading-log and next-to-leading-log strong corrections to the electromagnetic contributions and study the (QED-induced) dependence on the lattice matching scale.

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

Boyle

Carlo

Erben

et al. 2023

J. High Energ. Phys.

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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 483× 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 QEDL 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.

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Leptonic decay-constant ratio fK/fπ from lattice QCD using 2+1 clover-improved fermion flavors with 2-HEX smearing

Cited by 17 publications

References 48 publications

Analytic representations of mK , FK , mη
Ananthanarayan
¹
,
Bijnens
²
,
Friot
³

et al. 2018
Phys. Rev. D
16
0
20
1
View full text Add to dashboard Cite

Analytic representations of mK , FK , mη
Ananthanarayan
¹
,
Bijnens
²
,
Friot
³

et al. 2018
Phys. Rev. D
16
0
20
1
View full text Add to dashboard Cite

Semileptonic weak Hamiltonian to $$ \mathcal{O} $$(ααs) in momentum-space subtraction schemes

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

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Leptonic decay-constant ratio fK/fπ from lattice QCD using 2+1 clover-improved fermion flavors with 2-HEX smearing

Cited by 17 publications

References 48 publications

Analytic representations of mK , FK , mηAnanthanarayan1, Bijnens2, Friot3 et al. 2018Phys. Rev. D160201View full textAdd to dashboardCite

Analytic representations of mK , FK , mηAnanthanarayan1, Bijnens2, Friot3 et al. 2018Phys. Rev. D160201View full textAdd to dashboardCite

Semileptonic weak Hamiltonian to $$ \mathcal{O} $$(ααs) in momentum-space subtraction schemes

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

Contact Info

Product

Resources

About

Analytic representations of mK , FK , mη
Ananthanarayan
¹
,
Bijnens
²
,
Friot
³

et al. 2018
Phys. Rev. D
16
0
20
1
View full text Add to dashboard Cite

Analytic representations of mK , FK , mη
Ananthanarayan
¹
,
Bijnens
²
,
Friot
³

et al. 2018
Phys. Rev. D
16
0
20
1
View full text Add to dashboard Cite