Status of Kaon physics on the lattice

Jüttner, Andreas

doi:10.22323/1.042.0014

Cited by 14 publications

(26 citation statements)

References 60 publications

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“…2.4.2. For a more complete coverage, see the review talks on heavy flavor physics [301][302][303] and kaon physics [304][305][306] at the last few lattice conferences.…”

Section: Recent Resultsmentioning

confidence: 99%

B, D and K decays

et al. 2008

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With the advent of the LHC, we will be able to probe New Physics (NP) up to energy scales almost one order of magnitude larger than it has been possible with present accelerator facilities. While direct detection of new particles will be the main avenue to establish the presence of NP at the LHC, indirect searches will provide precious complementary information, since most probably it will not be possible to measure the full spectrum of new particles and their couplings through direct production. In particular, precision measurements and computations in the realm of flavor physics are expected to play a key role in constraining the unknown parameters of the Lagrangian of any NP model emerging from direct searches at the LHC.The aim of Working Group 2 was twofold: on the one hand, to provide a coherent up-to-date picture of the status of flavor physics before the start of the LHC; on the other hand, to initiate activities on the path towards integrating information on NP from high-p T and flavor data.This report is organized as follows: in Sect. 1, we give an overview of NP models, focusing on a few examples that have been discussed in some detail during the workshop, with a short description of the available computational tools for flavor observables in NP models. Section 2 contains a concise discussion of the main theoretical problem in flavor physics: the evaluation of the relevant hadronic matrix elements for weak decays. Section 3 contains a detailed discussion of NP effects in a set of flavor observables that we identified as "benchmark channels" for NP searches. The experimental prospects for flavor physics at future facilities are discussed in Sect. 4. Finally, Sect. 5 contains some assessEur. Phys. J. C (2008) 57: 309-492 311 ments on the work done at the workshop and the prospects for future developments.

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“…2.4.2. For a more complete coverage, see the review talks on heavy flavor physics [301][302][303] and kaon physics [304][305][306] at the last few lattice conferences.…”

Section: Recent Resultsmentioning

confidence: 99%

B, D and K decays

et al. 2008

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“…(3.7) of the measured two-point correlator, subsequently extrapolated to the zero-mass limit. 4 ; however, the current error bars are much smaller, because higher topological sectors which are less noisy have been considered. Besides, we have not assigned any errors to α and χ t , as we did in [21].…”

Section: Two-point Functionmentioning

confidence: 99%

“…The difficulty is that the non-perturbative low-energy dynamics of strong interactions plays an essential role [1], yet it has turned out to be difficult to reduce the systematic errors of lattice studies of these effects [2,3] to a tolerable level, because of the prohibitive cost of treating chiral symmetry, final state kinematics, and physical quark masses without compromises (for the current status and references, see ref. [4]). …”

Section: Introductionmentioning

confidence: 99%

Determination of the ΔS= 1 weak Hamiltonian in the SU(4) chiral limit through topological zero-mode wave functions

Hernández¹,

Laine²,

Peña³

et al. 2008

J. High Energy Phys.

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A new method to determine the low-energy couplings of the ∆S = 1 weak Hamiltonian is presented. It relies on a matching of the topological poles in 1/m 2 of three-point correlators of two pseudoscalar densities and a four-fermion operator, measured in lattice QCD, to the same observables computed in the ǫ-regime of chiral perturbation theory. We test this method in a theory with a light charm quark, i.e. with an SU(4) flavour symmetry. Quenched numerical measurements are performed in a 2 fm box, and chiral perturbation theory predictions are worked out up to next-to-leading order. The matching of the two sides allows to determine the weak low-energy couplings in the SU(4) limit. We compare the results with a previous determination, based on three-point correlators containing two left-handed currents, and discuss the merits and drawbacks of the two procedures.

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“…In the present formalism, all quark flavours are distinct, enabling us to separate the calculation of the scale-dependent logarithmic divergences, which is the aim of the present work, from the problem of eventual mixing with lower-dimensional operators 1 . The renormalisation pattern of the above operators is determined by the symmetries of the regularised theory.…”

Section: Renormalisation Of Four-fermion Operatorsmentioning

confidence: 99%

“…It is thus important to upgrade existing quenched results by the inclusion of dynamical fermion effects. For recent progress reports on lattice results on flavour Physics, see [1].…”

Section: Introductionmentioning

confidence: 99%

Non-perturbative renormalisation of ΔF= 2 four-fermion operators in two-flavour QCD

Dimopoulos

Herdoíza²,

Palombi

et al. 2008

J. High Energy Phys.

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Using Schrödinger Functional methods, we compute the non-perturbative renormalisation and renormalisation group running of several four-fermion operators, in the framework of lattice simulations with two dynamical Wilson quarks. Two classes of operators have been targeted: (i) those with left-left current structure and four propagating quark fields; (ii) all operators containing two static quarks. In both cases, only the parity-odd contributions have been considered, being the ones that renormalise multiplicatively. Our results, once combined with future simulations of the corresponding lattice hadronic matrix elements, may be used for the computation of phenomenological quantities of interest, such as B K and B B (the latter also in the static limit).

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Status of Kaon physics on the lattice

Cited by 14 publications

References 60 publications

B, D and K decays

B, D and K decays

Determination of the ΔS= 1 weak Hamiltonian in the SU(4) chiral limit through topological zero-mode wave functions

Non-perturbative renormalisation of ΔF= 2 four-fermion operators in two-flavour QCD

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