QED-corrected Lellouch-Luescher formula for $K \rightarrow \pi\pi$ decay

Cai, Yiming; Davoudi, Zohreh

doi:10.22323/1.334.0280

Cited by 9 publications

(5 citation statements)

References 12 publications

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“…Recent proposals aiming at the inclusion of electromagnetism in lattice-QCD calculations of K → ππ decays are being explored [444,445] in order to reduce the uncertainties associated with isospin breaking effects.…”

Section: Collaborationmentioning

confidence: 99%

FLAG Review 2021

Aoki

Blum²,

Colangelo³

et al. 2022

Eur. Phys. J. C

354

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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 $$f_+(0)$$ f + ( 0 ) arising in the semileptonic $$K \rightarrow \pi $$ K → π transition at zero momentum transfer, as well as the decay constant ratio $$f_K/f_\pi $$ f K / f π and its consequences for the CKM matrix elements $$V_{us}$$ V us and $$V_{ud}$$ V ud . Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of $$SU(2)_L\times SU(2)_R$$ S U ( 2 ) L × S U ( 2 ) R and $$SU(3)_L\times SU(3)_R$$ S U ( 3 ) L × S U ( 3 ) R Chiral Perturbation Theory. We review the determination of the $$B_K$$ B K parameter of neutral kaon mixing as well as the additional four B parameters that arise in theories of physics beyond the Standard Model. For the heavy-quark sector, we provide results for $$m_c$$ m c and $$m_b$$ m b as well as those for the decay constants, form factors, and mixing parameters of charmed and bottom mesons and baryons. These are the heavy-quark quantities most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. We review the status of lattice determinations of the strong coupling constant $$\alpha _s$$ α s . We consider nucleon matrix elements, and review the determinations of the axial, scalar and tensor bilinears, both isovector and flavor diagonal. Finally, in this review we have added a new section reviewing determinations of scale-setting quantities.

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Section: Collaborationmentioning

confidence: 99%

FLAG Review 2021

Aoki

Blum²,

Colangelo³

et al. 2022

Eur. Phys. J. C

354

View full text Add to dashboard Cite

show abstract

“…This calculation can be cast into a suggestive form by expressing the first-order contribution of V TC to M l of Eq. (11) given by the sum of the four classes of diagram shown in Fig. 6 as a product of incoming and outgoing factors multiplied by the V TC scattering kernel:…”

Section: Lipman-schwinger Equation Solution To First Order In V Tcmentioning

confidence: 99%

$π-π$ scattering, QED and finite-volume quantization

Christ,

Feng,

Karpie

et al. 2021

Preprint

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Using the Coulomb gauge formulation of QED we present a lattice QCD procedure to calculate the π + π + scattering phase shift including the effects of the Coulomb potential which appears in this formulation. The approach described here incorporates the effects of relativity and avoids finite-volume corrections that vanish as a power of the volume in which the lattice calculation is performed. This is the first step in developing a complete lattice QCD calculation of the electromagnetic and isospin-breaking light-quark mass contributions to ε , the parameter describing direct CP violating effects in K L → ππ decay.

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“…Further, there are investigations into generalizing the Lellouch-Lüscher formula to charged initial and final states, see e.g., Refs. [122,123] and further developments will be expected in near future in this area.…”

Section: Hadronic Observables In Presence Of Qedmentioning

confidence: 99%

The path from finite to infinite volume: Hadronic observables from lattice QCD

Davoudi¹

2019

Proceedings of the 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)

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Standard Model determinations of properties of strongly interacting systems of hadrons have become possible with the powerful method of lattice quantum chromodynamics (LQCD), a method with growing applicability and reliability. While growth in computational power and innovations in algorithmic and computational approaches have been essential in advancing the state of the field, conceptual and formal developments have played a crucial role in turning the output of LQCD computations to phenomenologically valuable results. From the invention of finitevolume technology to access physical observables by Martin Lüscher over three decades ago to date, this field has grown in scope and complexity, enabling studies of scattering amplitudes and reaction rates, as well as spectroscopy of excited states of quantum chromodynamics (QCD) and resonances. Further, LQCD studies are augmented with the inclusion of quantum electrodynamics (QED), and subtleties related to the finite volume of systems in presence of QED have been understood and largely controlled. In this talk, I focus on selected developments to give a taste of the status of the field concerning the mapping between the finite and infinite-volume physics and its state-of-the-art applications.

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QED-corrected Lellouch-Luescher formula for $K \rightarrow \pi\pi$ decay

Cited by 9 publications

References 12 publications

FLAG Review 2021

FLAG Review 2021

$π-π$ scattering, QED and finite-volume quantization

The path from finite to infinite volume: Hadronic observables from lattice QCD

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