<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>D</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo stretchy="false">→</mml:mo><mml:mi>η</mml:mi><mml:mo>,</mml:mo><mml:mi>η</mml:mi><mml:mo>′</mml:mo></mml:math>semileptonic decay form factors with disconnected quark loop contributions

Bali, Gunnar S.; Collins, Sara; Dürr, Stephan; Kanamori, Issaku

doi:10.1103/physrevd.91.014503

Cited by 49 publications

(54 citation statements)

References 42 publications

(285 reference statements)

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“…Lattice QCD data for G P can also be found in Refs. [76,78,80,84]. For the following discussion we recall that G P can be decomposed in the physical regime into…”

Section: Figmentioning

confidence: 99%

“…The results from Refs. [74][75][76] are obtained near the physical point or at the physical point. Recent calculations of G A as a function of Q 2 can be found in Refs.…”

Section: A Axial-vector Form Factor (Ga)mentioning

confidence: 99%

“…Recently, lattice QCD simulations for the nucleon became available for Q 2 = 0 [69][70][71][72][73][74][75][76], for finite Q 2 [77][78][79][80][81][82][83], and also for the octet baryons [84][85][86][87]. These studies are very important to understand the role of the valence quarks and of the meson cloud dressing.…”

Section: Introductionmentioning

confidence: 99%

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Axial form factors of the octet baryons in a covariant quark model

Ramalho

Tsushima

2016

Phys. Rev. D

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We study the weak interaction axial form factors of the octet baryons, within the covariant spectator quark model, focusing on the dependence of four-momentum transfer squared, Q 2 . In our model the axial form factors GA(Q 2 ) (axial-vector form factor) and GP (Q 2 ) (induced pseudoscalar form factor), are calculated based on the constituent quark axial form factors and the octet baryon wave functions. The quark axial current is parametrized by the two constituent quark form factors, the axial-vector form factor g q A (Q 2 ), and the induced pseudoscalar form factor g q P (Q 2 ). The baryon wave functions are composed of a dominant S-state and a P -state mixture for the relative angular momentum of the quarks. First, we study in detail the nucleon case. We assume that the quark axial-vector form factor g q A (Q 2 ) has the same function form as that of the quark electromagnetic isovector form factor. The remaining parameters of the model, the P -state mixture and the Q 2 -dependence of g q P (Q 2 ), are determined by a fit to the nucleon axial form factor data obtained by lattice QCD simulations with large pion masses. In this lattice QCD regime the meson cloud effects are small, and the physics associated with the valence quarks can be better calibrated. Once the valence quark model is calibrated, we extend the model to the physical regime, and use the low Q 2 experimental data to estimate the meson cloud contributions for GA(Q 2 ) and GP (Q 2 ). Using the calibrated quark axial form factors, and the generalization of the nucleon wave function for the other octet baryon members, we make predictions for all the possible weak interaction axial form factors GA(Q 2 ) and GP (Q 2 ) of the octet baryons. The results are compared with the corresponding experimental data for GA(0), and with the estimates of baryon-meson models based on SU (6) symmetry.

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“…Lattice QCD data for G P can also be found in Refs. [76,78,80,84]. For the following discussion we recall that G P can be decomposed in the physical regime into…”

Section: Figmentioning

confidence: 99%

“…The results from Refs. [74][75][76] are obtained near the physical point or at the physical point. Recent calculations of G A as a function of Q 2 can be found in Refs.…”

Section: A Axial-vector Form Factor (Ga)mentioning

confidence: 99%

See 1 more Smart Citation

Axial form factors of the octet baryons in a covariant quark model

Ramalho

Tsushima

2016

Phys. Rev. D

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“…We found in our ensembles that the topological charge has zero expectation value, however, the second moment of the charge distribution might not be sampled fully correctly. While being a finite volume effect, this can lead to time independent contributions to the flavour-singlet correlation function [36,37]. As a consequence, the corresponding correlation functions do not decay to zero at large time separations.…”

Section: Pollution By Topological Effectsmentioning

confidence: 99%

“…Such constants present in correlation functions can be subtracted by fitting the appropriate functional form to the data [37]. However, we found that shifting the correlation functions -invented to cancel so-called thermal pollution in multi-hadron correlation functions [38] -subtracts the constant without the need of any additional input.…”

Section: Pollution By Topological Effectsmentioning

confidence: 99%

Properties of flavour-singlet pseudoscalar mesons from lattice QCD

Urbach

2017

EPJ Web Conf.

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Masses and decay constants of the η and η′ mesons from lattice QCD

Bali

Braun

Collins

et al. 2021

J. High Energ. Phys.

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We determine the masses, the singlet and octet decay constants as well as the anomalous matrix elements of the η and η′ mesons in Nf = 2 + 1 QCD. The results are obtained using twenty-one CLS ensembles of non-perturbatively improved Wilson fermions that span four lattice spacings ranging from a ≈ 0.086 fm down to a ≈ 0.050 fm. The pion masses vary from Mπ = 420 MeV to 126 MeV and the spatial lattice extents Ls are such that LsMπ ≳ 4, avoiding significant finite volume effects. The quark mass dependence of the data is tightly constrained by employing two trajectories in the quark mass plane, enabling a thorough investigation of U(3) large-Nc chiral perturbation theory (ChPT). The continuum limit extrapolated data turn out to be reasonably well described by the next-to-leading order ChPT parametrization and the respective low energy constants are determined. The data are shown to be consistent with the singlet axial Ward identity and, for the first time, also the matrix elements with the topological charge density are computed. We also derive the corresponding next-to-leading order large-Nc ChPT formulae. We find F8 = 115.0(2.8) MeV, θ8 = −25.8(2.3)°, θ0 = −8.1(1.8)° and, in the $$ \overline{\mathrm{MS}} $$ MS ¯ scheme for Nf = 3, F0(μ = 2 GeV) = 100.1(3.0) MeV, where the decay constants read $$ {F}_{\eta}^8 $$ F η 8 = F8 cos θ8, $$ {F}_{\eta \prime}^8 $$ F η ′ 8 = F8 sin θ8, $$ {F}_{\eta}^0 $$ F η 0 = −F0 sin θ0 and $$ {F}_{\eta \prime}^0 $$ F η ′ 0 = F0 cos θ0. For the gluonic matrix elements, we obtain aη(μ = 2 GeV) = 0.0170(10) GeV3 and aη′(μ = 2 GeV) = 0.0381(84) GeV3, where statistical and all systematic errors are added in quadrature.

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Ds→η,η′semileptonic decay form factors with disconnected quark loop contributions

Cited by 49 publications

References 42 publications

Axial form factors of the octet baryons in a covariant quark model

Axial form factors of the octet baryons in a covariant quark model

Properties of flavour-singlet pseudoscalar mesons from lattice QCD

Masses and decay constants of the η and η′ mesons from lattice QCD

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