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Form factors for the charm-baryon semileptonic decay $\Xi_c\to \Xi \ell \nu$ from domain-wall lattice QCD
High Energy Physics - Lattice · Submitted 15 Sep 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our preliminary results for the form factors are larger in magnitude than previous lattice results.
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Recent experimental progress measuring the branching fractions of the heavy-baryon semileptonic decays $\Xi_c\to \Xi \ell \nu$ has stimulated theoretical interest and motivates precise lattice calculations of the form factors. Here we present such a calculation using domain-wall fermions for the up, down, and strange quarks, and an anisotropic clover action for the charm quark. We use four ensembles generated by the RBC and UKQCD collaborations, with lattice spacings between 0.111 and 0.073 fm and pion masses ranging from 420 to 230 MeV. Our preliminary results for the form factors are larger in magnitude than previous lattice results.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Recent experimental progress measuring the branching fractions of the heavy-baryon semileptonic decays $\Xi_c\to \Xi \ell \nu$ has stimulated theoretical interest and motivates precise lattice calculations of the form factors. | background 1.00 | 0.04 | 0.04 | asserted 0.98 |
| s1 | Here we present such a calculation using domain-wall fermions for the up, down, and strange quarks, and an anisotropic clover action for the charm quark. | method 0.81 | 0.92 | 0.05 | asserted 0.99 |
| s2 | We use four ensembles generated by the RBC and UKQCD collaborations, with lattice spacings between 0.111 and 0.073 fm and pion masses ranging from 420 to 230 MeV. | method 1.00 | 0.62 | 0.03 | asserted 0.98 |
| s3 | Our preliminary results for the form factors are larger in magnitude than previous lattice results. | result 1.00 | 0.95 | 0.61 | asserted 0.99 |
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The paper
Original abstract
Recent experimental progress measuring the branching fractions of the heavy-baryon semileptonic decays $\Xi_c\to \Xi \ell \nu$ has stimulated theoretical interest and motivates precise lattice calculations of the form factors. Here we present such a calculation using domain-wall fermions for the up, down, and strange quarks, and an anisotropic clover action for the charm quark. We use four ensembles generated by the RBC and UKQCD collaborations, with lattice spacings between 0.111 and 0.073 fm and pion masses ranging from 420 to 230 MeV. Our preliminary results for the form factors are larger in magnitude than previous lattice results.
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How the literature uses it
4 arXiv papers cite this in 4 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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These values are higher than those predicted by a previous lattice calculation and substantially higher than the experimentally measured values, but consistent with expectations from approximate $SU(3)$ flavor symmetry.
What it cites · 21 sentences without a confident label
Contests 3 papers
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Reference [ref] suggested this could be resolved by a large $Ξ_c - Ξ'_c$ mixing angle, but subsequent lattice calculations [ref] found a negligible mixing angle, in accordance with expectations from heavy quark theory.
Resolving puzzle in $\Xi_c^0\to \Xi^-e^+\nu_e$ with $\Xi_c-\Xi_c'$ mixing · Introduction · contest 0.79
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Reference [ref] suggested this could be resolved by a large $Ξ_c - Ξ'_c$ mixing angle, but subsequent lattice calculations [ref] found a negligible mixing angle, in accordance with expectations from heavy quark theory.
$\Xi_c-\Xi_c^{\prime}$ mixing From Lattice QCD · Introduction · contest 0.79
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Reference [ref] suggested this could be resolved by a large $Ξ_c - Ξ'_c$ mixing angle, but subsequent lattice calculations [ref] found a negligible mixing angle, in accordance with expectations from heavy quark theory.
Improved method to determine the $\Xi_c-\Xi_c'$ mixing · Introduction · contest 0.79
Uses the method or tool of 7 papers
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A more complete discussion of this derivation and the ratios that give the other vector and axial-vector form factors can be found in Ref. [ref] .
$\Lambda_b \to p \ell^- \bar{\nu}_\ell$ and $\Lambda_b \to \Lambda_c \ell^- \bar{\nu}_\ell$ form factors from lattice QCD with relativistic heavy quarks · Lattice Calculation and Preliminary Results · 0.83
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The charm quark was implemented with an anisotropic clover action [ref] , tuned to remove heavy-quark discretization errors proportional to all powers of $am_Q$.
A Perturbative Determination of Mass Dependent $O(a)$ Improvement Coefficients in a Relativistic Heavy Quark Action · Lattice Setup · 0.97
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The charm quark was implemented with an anisotropic clover action [ref] , tuned to remove heavy-quark discretization errors proportional to all powers of $am_Q$.
Massive Fermions in Lattice Gauge Theory · Lattice Setup · 0.97
Uses data or values from 7 papers
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The renormalization is done using a mostly nonperturbative method, with $Z_V^cc$ and $Z_V^ss$ given in Ref. [ref] and residual matching factors $ρ_Γ$ given in Ref. [ref] .
Status of next-generation $\Lambda_b \to p, \Lambda, \Lambda_c$ form-factor calculations · Lattice Setup · 0.84
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The renormalization is done using a mostly nonperturbative method, with $Z_V^cc$ and $Z_V^ss$ given in Ref. [ref] and residual matching factors $ρ_Γ$ given in Ref. [ref] .
$\Lambda_c \to \Lambda \ell^+ \nu_\ell$ form factors and decay rates from lattice QCD with physical quark masses · Lattice Setup · 0.84
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In 2021, both Belle and ALICE performed measurements of the relative branching ratio [ref] [equation] Combining these results with a 2018 Belle measurement of the $B(Ξ_c^0 →Ξ^- π^+)$ normalization mode [ref] gives the following experimental results for the absolute branching fractions: [equation] Here the first and second uncertainties are statistical and systematic, respectively, while the third is propagated from the uncertainty in the $Ξ_c^0 →Ξ^- π^+$ normalization mode.
First measurements of absolute branching fractions of $\Xi_c^0$ at Belle · Introduction · 0.87
Compares with 3 papers
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Because each of these form factors contributes additively to the decay rate, we expect our Standard-Model prediction for the branching ratio $B(Ξ_c^0 →Ξ^- e^+ ν_e)$ to be higher than the previous lattice prediction in Ref. [ref] , and also higher than the experimental values in Refs. [ref] .
Measurements of the branching fractions of the semileptonic decays $\Xi_{c}^{0} \to \Xi^{-} \ell^{+} \nu_{\ell}$ and the asymmetry parameter of $\Xi_{c}^{0} \to \Xi^{-} \pi^{+}$ · Lattice Calculation and Preliminary Results · 1.00
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Because each of these form factors contributes additively to the decay rate, we expect our Standard-Model prediction for the branching ratio $B(Ξ_c^0 →Ξ^- e^+ ν_e)$ to be higher than the previous lattice prediction in Ref. [ref] , and also higher than the experimental values in Refs. [ref] .
First Lattice QCD determination of semileptonic decays of charmed-strange baryons $\Xi_c$ · Lattice Calculation and Preliminary Results · 1.00
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Because each of these form factors contributes additively to the decay rate, we expect our Standard-Model prediction for the branching ratio $B(Ξ_c^0 →Ξ^- e^+ ν_e)$ to be higher than the previous lattice prediction in Ref. [ref] , and also higher than the experimental values in Refs. [ref] .
Measurement of the cross sections of $\Xi^0_{\rm c}$ and $\Xi^+_{\rm c}$ baryons and branching-fraction ratio BR($\Xi^0_{\rm c} \rightarrow \Xi^-{\rm e}^+\nu_{\rm e}$)/BR($\Xi^0_{\rm c} \rightarrow \Xi^-\pi^+$) in pp collisions at 13 TeV · Lattice Calculation and Preliminary Results · 1.00
Cites as background 3 papers
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Although the majority of precision studies of weak decays of heavy quarks have focused on the mesonic sector, semileptonic decays of heavy baryons, e.g. $Λ_b →Λℓ^+ ℓ^-$ [ref] , $Λ_b →p ℓ^- ν_ℓ$, $Λ_b →Λ_c ℓ^- ν_ℓ$ [ref] , and $Λ_c →pℓ^+ℓ^-$ [ref] , have provided new and fruitful perspectives from which to examine flavor physics.
$\Lambda_b \to \Lambda \ell^+ \ell^-$ form factors, differential branching fraction, and angular observables from lattice QCD with relativistic $b$ quarks · Introduction · 0.99
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Although the majority of precision studies of weak decays of heavy quarks have focused on the mesonic sector, semileptonic decays of heavy baryons, e.g. $Λ_b →Λℓ^+ ℓ^-$ [ref] , $Λ_b →p ℓ^- ν_ℓ$, $Λ_b →Λ_c ℓ^- ν_ℓ$ [ref] , and $Λ_c →pℓ^+ℓ^-$ [ref] , have provided new and fruitful perspectives from which to examine flavor physics.
$\Lambda_b \to p \ell^- \bar{\nu}_\ell$ and $\Lambda_b \to \Lambda_c \ell^- \bar{\nu}_\ell$ form factors from lattice QCD with relativistic heavy quarks · Introduction · 0.99
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Although the majority of precision studies of weak decays of heavy quarks have focused on the mesonic sector, semileptonic decays of heavy baryons, e.g. $Λ_b →Λℓ^+ ℓ^-$ [ref] , $Λ_b →p ℓ^- ν_ℓ$, $Λ_b →Λ_c ℓ^- ν_ℓ$ [ref] , and $Λ_c →pℓ^+ℓ^-$ [ref] , have provided new and fruitful perspectives from which to examine flavor physics.
$\Lambda_c \to N$ form factors from lattice QCD and phenomenology of $\Lambda_c \to n \ell^+ \nu_\ell$ and $\Lambda_c \to p \mu^+ \mu^-$ decays · Introduction · 0.99
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