A Lattice Computation of the First Moment of the Kaon's Distribution Amplitude

Abstract

We present a lattice computation of the first moment of the kaon's leading-twist distribution amplitude. The results were computed using ensembles with 2+1 dynamical flavours with the domain wall fermion action and Iwasaki gauge action from the RBC and UKQCD joint dataset. The first moment is non-zero because of SU(3)-breaking effects, and we find that we are able to measure these effects very clearly. We observe the expected chiral behaviour and finally obtain <ξ>(2GeV) = 3/5*a_K^1(2GeV) = 0.032(3), which agrees very well with results obtained using sum-rules, but with a significantly smaller error.

arXiv comment14 pages, 4 figures, minor changes

References in corpus (27)

• An effective field theory for collinear and soft gluons: heavy to light decays
• Soft-Collinear Factorization in Effective Field Theory
• QCD Factorization for $B\to \pi \pi$ Decays: Strong Phases and CP Violation in the Heavy Quark Limit
• QCD factorization for exclusive, non-leptonic B meson decays: General arguments and the case of heavy-light final states
• A Method for Simulating Chiral Fermions on the Lattice
• Summing Sudakov logarithms in B -> X_s + gamma in effective field theory
• QCD Factorization in B -> pi K, pi pi Decays and Extraction of Wolfenstein Parameters
• Invariant Operators in Collinear Effective Theory
• The Chroma Software System for Lattice QCD
• Axial symmetries in lattice QCD with Kaplan fermions
• Monte Carlo errors with less errors
• Twisted Boundary Conditions in Lattice Simulations
• Gauge-Invariant Smearing and Matrix Correlators using Wilson Fermions at beta=6.2
• On the SU(3) Symmetry-Breaking Corrections to Meson Distribution Amplitudes
• SU(3) Breaking of Leading--Twist K and K* Distribution Amplitudes - a Reprise
• Lattice Operators for Moments of the Structure Functions and their Transformation under the Hypercubic Group
• Kaon Distribution Amplitude from QCD Sum Rules
• Twisted valence quarks and hadron interactions on the lattice
• A Numerical Study of Partially Twisted Boundary Conditions
• Operator Relations for SU(3) Breaking Contributions to K and K* Distribution Amplitudes
• Model Independent Results for SU(3) Violation in Light-Cone Distribution Functions
• Perturbative renormalization factors in domain-wall QCD with improved gauge actions
• Perturbative Renormalization Factors of Quark Bilinear Operators for Domain-wall QCD
• Model-Independent Results for SU(3) Violation in Twist-3 Light-Cone Distribution Functions
• Hardware and software status of QCDOC
• Perturbative renormalization of the first moment of structure functions for domain-wall QCD
• Renormalisation of one-link quark operators for overlap fermions with Lüscher-Weisz gauge action

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• Pion and Kaon Distribution Amplitudes from Lattice QCD
• Spectator scattering at NLO in non-leptonic B decays: Leading penguin amplitudes
• Towards NNLO Accuracy in the QCD Sum Rule for the Kaon Distribution Amplitude
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• Radiative Corrections on the $B\to P$ Form Factors with Chiral Current in the Light-Cone Sum Rules
• Transverse-momentum-dependent wave functions and Soft functions at one-loop in Large Momentum Effective Theory
• SU_f(3)-Symmetry Breaking Effects of the B\to K Transition Form Factor in the QCD Light-Cone Sum Rules
• Flavourful hadronic physics
• $B\to K$ Transition Form Factor up to $\mathcal{O}(1/m_b^2)$ within the $k_T$ Factorization Approach
• Heavy and light meson wavefunctions
• Lattice Results for Vector Meson Couplings and Parton Distribution Amplitudes
• Investigating the ratio of CKM matrix elements $|V_{ub}|/|V_{cb}|$ from semileptonic decay $B_s^0\to K^{-}{\mu }^{+}{\nu }_{\mu }$ and kaon twist-2 distribution amplitude
• Dispersive derivation of the pion distribution amplitude
• Kaon Electromagnetic Form Factor within the $k_T$ Factorization Formalism and It's Light-Cone Wave Function
• Meson spectral functions with chirally symmetric lattice fermions
• Probing electroweak physics using B -> XM decays in the endpoint region
• Extracting alpha from B0(d) --> K0 anti-K0 Decays
• 2+1 flavour Domain Wall Fermion simulations by the RBC and UKQCD collaborations
• Investigations of hadron structure on the lattice
• Semi-inclusive hadronic B decays as null tests of the Standard Model
• Exclusive decays ${\chi }_{cJ}\to K^{\ast }(892)K$ within the effective field theory framework
• Perturbative chiral violations for domain-wall QCD with improved gauge actions
• Light Meson Distribution Amplitudes