Heavy meson chiral perturbation theory in finite volume

Arndt, Daniel; Lin, C.-J. David

doi:10.1103/physrevd.70.014503

Cited by 78 publications

(85 citation statements)

References 51 publications

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“…(8,9,12) represent quickly converging expressions. Several observables have been worked out at one-loop order [5,6,7,8,10,11,17,18], but to date no two-loop result obtained in this setup has appeared.…”

Section: Chpt In Finite Volumementioning

confidence: 99%

“…The multiplicities m(n) are given in Tab. 1, λ P has been defined in (11), and the dimensionless integration variable (which we will be using from here on) relates to the previous one viaỹ = y/M π . The amplitudes…”

Section: Meson Masses and Decay Constants In Finite Volumementioning

confidence: 99%

“…More recently, the finite volume shifts for F K (L) and B K (L) have been given in Ref. [10] and the extension to heavy-meson chiral perturbation theory has been described [11]. No full two-loop calculation of finite volume effects has appeared yet.…”

Section: Introductionmentioning

confidence: 99%

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Finite volume effects for meson masses and decay constants

2005

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We present a detailed numerical study of finite volume effects for masses and decay constants of the octet of pseudoscalar mesons. For this analysis we use chiral perturbation theory and asymptotic formulaeà la Lüscher and propose an extension of the latter beyond the leading exponential term. We argue that such a formula, which is exact at the one-loop level, gives the numerically dominant part at two loops and beyond. Finally, we discuss the possibility to determine low energy constants from the finite volume dependence of masses and decay constants.

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Section: Chpt In Finite Volumementioning

confidence: 99%

Section: Meson Masses and Decay Constants In Finite Volumementioning

confidence: 99%

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Finite volume effects for meson masses and decay constants

2005

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“…For large enough lattices, of course, these finite volume effects will be exponentially small [16,17,33]. There has been a fair amount of work on finite volume corrections to quantities calculated in lattice QCD [14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36], but it is only recently that the properties of baryons, and in particular the nucleon, have been considered [33,34,35,36].…”

Section: Neutron Edm At Finite Volumementioning

confidence: 99%

Extrapolation formulas for neutron EDM calculations in lattice QCD

O’Connell

Savage

2006

Physics Letters B

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Lattice QCD is rapidly progressing toward being able to reliably compute the electric dipole moment of the neutron as a function of the strong CP-violating parameter θ. Present day calculations are performed at unphysical values of the light quark masses, in volumes that are not exceptionally large and at lattice spacings that are not exceptionally small. We use chiral perturbation theory to determine the leading contributions to the neutron electric dipole moment at finite volume, and in partially-quenched calculations. August 20051

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“…The correction to Eqs. (33) and (34) to account for the finite spatial volume is given by a sum over modified Bessel functions [52,53]: (8)(24) MeV from FLAG [11] and Λ QCD = 500 MeV. The difference between the u-and d-quark masses in the sea sector should have a negligible effect on the B → π ν (B s → K ν) form factor because the sea quarks couple to the valence quarks through I = 0 gluon exchange, and they give only the uncertainty of O(((m d − m u )/Λ QCD ) 2 ) ∼ 0.003%.…”

Section: H Finite-volume Errorsmentioning

confidence: 99%

B→πℓνandBs→Kℓνform factors and
Flynn
¹
,
Izubuchi
²
,
Kawanai
³

et al. 2015
Phys. Rev. D

161

265

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We calculate the form factors for B → π ν and Bs → K ν decay in dynamical lattice Quantum Chromodynamics (QCD) using domain-wall light quarks and relativistic b-quarks. We use the (2+1)-flavor gauge-field ensembles generated by the RBC and UKQCD collaborations with the domain-wall fermion action and Iwasaki gauge action. For the b quarks we use the anisotropic clover action with a relativistic heavy-quark interpretation. We analyze data at two lattice spacings of a ≈ 0.11, 0.086 fm with unitary pion masses as light as Mπ ≈ 290 MeV. We simultaneously extrapolate our numerical results to the physical light-quark masses and to the continuum and interpolate in the pion/kaon energy using SU(2) "hard-pion" chiral perturbation theory for heavy-light meson form factors. We provide complete systematic error budgets for the vector and scalar form factors f+(q 2 ) and f0(q 2 ) for both B → π ν and Bs → K ν at three momenta that span the q 2 range accessible in our numerical simulations. Next we extrapolate these results to q 2 = 0 using a model-independent z-parameterization based on analyticity and unitarity. We present our final results for f+(q 2 ) and f0(q 2 ) as the coefficients of the series in z and the matrix of correlations between them; this provides a parameterization of the form factors valid over the entire allowed kinematic range. Our results agree with other three-flavor lattice-QCD determinations using staggered light quarks, and have comparable precision, thereby providing important independent cross checks. Both B → π ν and Bs → K ν decays enable determinations of the Cabibbo-Kobayashi-Maskawa (CKM) matrix element |V ub |. To illustrate this, we perform a combined z-fit of our numerical B → π ν form-factor data with the experimental measurements of the branching fraction from BaBar and Belle leaving the relative normalization as a free parameter; we obtain |V ub | = 3.61(32) × 10 −3 , where the error includes statistical and all systematic uncertainties. The same approach can be applied to the decay Bs → K ν to provide an alternative determination of |V ub | once the process has been measured experimentally. Finally, in anticipation of future experimental measurements, we make predictions for B → π ν and Bs → K ν differential branching fractions and forward-backward asymmetries in the Standard Model.

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Heavy meson chiral perturbation theory in finite volume

Cited by 78 publications

References 51 publications

Finite volume effects for meson masses and decay constants

Finite volume effects for meson masses and decay constants

Extrapolation formulas for neutron EDM calculations in lattice QCD

B→πℓνandBs→Kℓνform factors and
Flynn
¹
,
Izubuchi
²
,
Kawanai
³

et al. 2015
Phys. Rev. D

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Heavy meson chiral perturbation theory in finite volume

Cited by 78 publications

References 51 publications

Finite volume effects for meson masses and decay constants

Finite volume effects for meson masses and decay constants

Extrapolation formulas for neutron EDM calculations in lattice QCD

B→πℓνandBs→Kℓνform factors andFlynn1, Izubuchi2, Kawanai3 et al. 2015Phys. Rev. D

Contact Info

Product

Resources

About

B→πℓνandBs→Kℓνform factors and
Flynn
¹
,
Izubuchi
²
,
Kawanai
³

et al. 2015
Phys. Rev. D