Form factors for $B$ to $Kll$ semileptonic decay from three-flavor lattice QCD

介子衰变中的charm baryon半轻子衰变谜题

Puzzles in charmed baryon semileptonic decays with $SU(3)_F$ flavor symmetry and lattice inputs

研究通过建立框架系统匹配格点QCD输入到SU(3)_F分析中，预测特定衰变分支比，以确定异常大的SU(3)_F破缺来源。

Kaon semileptonic decay form factors in two-flavor QCD

We present a calculation of the kaon form factors in two-flavor QCD with the non-perturbatively $O(a)$-improved Wilson quark action. In order to achieve a few percent accuracy in the study of SU(3) breaking effects, we use a set of double ratios of the matrix elements, with which the bulk of the statistical fluctuation and the multiplicative renormalization factors cancel.

Semileptonic B to D decays at nonzero recoil with 2+1 flavors of improved staggered quarks. An update

The Fermilab Lattice and MILC collaborations are completing a comprehensive program of heavy-light physics on MILC (2+1)-flavor asqtad ensembles with lattice spacings as small as 0.045 fm and light-to-strange-quark mass ratios as low as 1/20. We use the Fermilab interpretation of the clover action for heavy valence quarks and the asqtad action for the light valence quarks. The central goal of the program is to provide ever more exacting tests of the unitarity of the CKM matrix. We present preliminary results for one part of the program, namely the analysis of the semileptonic decay B -> D l nu…

Semileptonic decays of $D$ mesons in three-flavor lattice QCD

We present the first three-flavor lattice QCD calculations for $D\to πlν$ and $D\to K lν$ semileptonic decays. Simulations are carried out using ensembles of unquenched gauge fields generated by the MILC collaboration. With an improved staggered action for light quarks, we are able to simulate at light quark masses down to 1/8 of the strange mass. Consequently, the systematic error from the chiral extrapolation is much smaller than in previous calculations with Wilson-type light quarks. Our results for the form factors at $q^2=0$ are $f_+^{D\toπ}(0)=0.64(3)(6)$ and $f_+^{D\to K}(0) = 0.73(3)(7…

Nonperturbative calculations of form factors for exclusive semileptonic $B_{(s)}$ decays

Precise theoretical predictions derived from the Standard Model are a key ingredient in searches for new physics in the flavor sector. The large mass and long lifetime of the $b$ quark make processes involving $b$ quarks of particular interest. We use lattice simulations to perform nonperturbative QCD calculations for semileptonic $B_{(s)}$ decays. We present results from our determinations of $B_s\to D_s \ell ν$ and $B_s\to K \ell ν$ semileptonic form factors and provide an outlook for our $B\to π\ellν$ calculation. In addition we discuss the determination of $R$-ratios testing lepton-flavor …

Non-standard semileptonic hyperon decays

We investigate the discovery potential of semileptonic hyperon decays in terms of searches of new physics at teraelectronvolt scales. These decays are controlled by a small $SU(3)$-flavor breaking parameter that allows for systematic expansions and accurate predictions in terms of a reduced dependence on hadronic form factors. We find that muonic modes are very sensitive to non-standard scalar and tensor contributions and demonstrate that these could provide a powerful synergy with direct searches of new physics at the LHC.

Semileptonic D->pi/K and B->pi/D decays in 2+1 flavor lattice QCD

We present results for form factors of semileptonic decays of $D$ and $B$ mesons in 2+1 flavor lattice QCD using the MILC gauge configurations. With an improved staggered action for light quarks, we successfully reduce the systematic error from the chiral extrapolation. The results for $D$ decays are in agreement with experimental ones. The results for B decays are preliminary. Combining our results with experimental branching ratios, we then obtain the CKM matrix elements $|V_{cd}|$, $|V_{cs}|$, $|V_{cb}|$ and $|V_{ub}|$. We also check CKM unitarity, for the first time, using only lattice QCD…

$D$-meson semileptonic form factors at zero momentum transfer in (2+1+1)-flavor lattice QCD

We present a calculation of the $D\to K \ell ν$ and $D\toπ\ell ν$ semileptonic form factors at $q^2=0$, which enable determinations of the CKM matrix elements $\lvert{V_{cs}}\rvert$ and $\lvert{V_{cd}}\rvert$, respectively. We use gauge-field configurations generated by the MILC collaboration with four flavors of highly-improved staggered (HISQ) quarks, analyzing several ensembles including those with physical pion masses and approximate lattice spacings ranging from 0.12~fm to 0.042~fm. We also use the HISQ action for the valence quarks. We employ twisted boundary conditions to calculate the …

Semileptonic B to D decays at nonzero recoil with 2+1 flavors of improved staggered quarks

The Fermilab Lattice-MILC collaboration is completing a comprehensive program of heavy-light physics on the MILC (2+1)-flavor asqtad ensembles with lattice spacings as small as 0.045 fm and light-to-strange-quark mass ratios as low as 1/20. We use the Fermilab interpretation of the clover action for heavy valence quarks and the asqtad action for light valence quarks. The central goal of the program is to provide ever more exacting tests of the unitarity of the CKM matrix. We give a progress report on one part of the program, namely the analysis of the semileptonic decay B to D at both zero and…

$B$-meson semileptonic form factors on (2+1+1)-flavor HISQ ensembles

We report updates to an ongoing lattice-QCD calculation of the form factors for the semileptonic decays $B \to π\ell ν$, $B_s \to K \ell ν$, $B \to π\ell^+ \ell^-$, and $B \to K \ell^+ \ell^-$. The tree-level decays $B_{(s)} \to π(K) \ell ν$ enable precise determinations of the CKM matrix element $|V_{ub}|$, while the flavor-changing neutral-current interactions $B \to π(K) \ell^+ \ell^-$ are sensitive to contributions from new physics. This work uses MILC's (2+1+1)-flavor HISQ ensembles at approximate lattice spacings between $0.057$ and $0.15$ fm, with physical sea-quark masses on four out o…

The B -> pi l nu semileptonic form factor from three-flavor lattice QCD: A model-independent determination of |V(ub)|

We calculate the form factor f_+(q^2) for B-meson semileptonic decay in unquenched lattice QCD with 2+1 flavors of light sea quarks. We use Asqtad-improved staggered light quarks and a Fermilab bottom quark on gauge configurations generated by the MILC Collaboration. We simulate with several light quark masses and at two lattice spacings, and extrapolate to the physical quark mass and continuum limit using heavy-light meson staggered chiral perturbation theory. We then fit the lattice result for f_+(q^2) simultaneously with that measured by the BABAR experiment using a parameterization of the …

Progress on charm semileptonic form factors from 2+1 flavor lattice QCD

Lattice calculations of the form factors for the charm semileptonic decays D to K l nu and D to pi l nu provide inputs to direct determinations of the CKM matrix elements |V(cs)| and |V(cd)| and can be designed to validate calculations of the form factors for the bottom semileptonic decays B to pi l nu and B to K l l-bar. We are using Fermilab charm (bottom) quarks and asqtad staggered light quarks on the 2+1 flavor asqtad MILC ensembles to calculate the charm (bottom) form factors. We outline improvements to the previous calculation of the charm form factors and detail our progress. We expect…

Charm semileptonic decays and |V_{cs(d)}| from heavy clover quarks and 2+1 flavor asqtad staggered ensembles

By combining experimentally measured partial branching fractions for the semileptonic decays D to K l nu and D to pi l nu with lattice calculations of the form factors f_+^{D to K}(q^2) and f_+^{D to pi}(q^2), one can extract the CKM matrix elements |V_{cs}| and |V_{cd}|. We are calculating the form factors by using Fermilab charm and asqtad staggered light and strange quarks on 2+1 flavor asqtad staggered ensembles generated by the MILC Collaboration. We vary the light valence quark masses from 0.4m_s to 0.05m_s (m_s is the strange sea-quark mass), and the lattice spacings, from about 0.12 fm…

Vector form factor in K_l3 semileptonic decay with two flavors of dynamical domain-wall quarks

We calculate the vector form factor in K \to πl νsemileptonic decays at zero momentum transfer f_+(0) from numerical simulations of two-flavor QCD on the lattice. Our simulations are carried out on 16^3 \times 32 at a lattice spacing of a \simeq 0.12 fm using a combination of the DBW2 gauge and the domain-wall quark actions, which possesses excellent chiral symmetry even at finite lattice spacings. The size of fifth dimension is set to L_s=12, which leads to a residual quark mass of a few MeV. Through a set of double ratios of correlation functions, the form factor calculated on the lattice is…

Form factors for semileptonic $B\toπ$, $B_s\to K$ and $B_s\to D_s$ decays

We report on our determinations of $B\to π\ellν$, $B_s\to K \ell ν$ and $B_s\to D_s \ell ν$ semileptonic form factors. In addition we discuss the determination of $R$-ratios testing lepton-flavor universality and suggest an improved ratio. Our calculations are based on the set of 2+1 flavor domain-wall Iwasaki gauge field configurations generated by the RBC/UKQCD collaboration with three lattice spacings of $1/a = 1.78$, $2.38$, and $2.79\,\text{GeV}$. We use the relativistic heavy quark action for $b$ quarks and charm quarks are simulated with the Möbius domain-wall fermion action.

$D_s \to ϕ\ell ν_\ell$半轻子衰变的形式因子使用(2+1)味格点QCD

Form factors of the $D_s \to ϕ\ell ν_\ell$ semileptonic decay with (2+1)-flavor lattice QCD

本文利用(2+1)味格点QCD计算了$D_s \to ϕ\ell ν_\ell$半轻子衰变的矢量和轴矢量形式因子，实现了高精度的结果。

B Meson Semileptonic Form Factors from Unquenched Lattice QCD

The semileptonic process, B --> πl ν, is studied via full QCD Lattice simulations. We use unquenched gauge configurations generated by the MILC collaboration. These include the effect of vacuum polarization from three quark flavors: the $s$ quark and two very light flavors ($u/d$) of variable mass allowing extrapolations to the physical chiral limit. We employ Nonrelativistic QCD to simulate the $b$ quark and a highly improved staggered quark action for the light sea and valence quarks. We calculate the form factors $f_+(q^2)$ and $f_0(q^2)$ in the chiral limit for the range 16 GeV$^2 \leq q^2…

$B\!\to\!D^{(*)}\ellν$ semileptonic decays in lattice QCD with domain-wall heavy quarks

We calculate the $B \to D^{(*)} \ell ν$ form factors in 2+1 flavor relativistic lattice QCD by employing the Möbius domain-wall action for all quark flavors. Our simulations are carried out at lattice cut-offs $a^{-1} \sim 2.5$, 3.6 and 4.5 GeV with the bottom quark masses up to 0.7 $a^{-1}$ to control discretization effects. We extrapolate the form factors to the continuum limit and physical quark masses, and discuss systematic uncertainties of the form factors.

Study of intermediate states in the inclusive semileptonic $B \rightarrow X_c l ν$ decay structure function

We analyze the inclusive semileptonic $B \to X_c \ellν$ structure functions in 2+1-flavor lattice QCD. The Möbius domain-wall fermion action is used for light, strange, charm and bottom quarks. The structure function receives contributions from various exclusive modes, including the dominant S-wave states $D^{(*)}_s$ as well as the P-wave states $D_s^{**}$. We can identify them in the lattice data, from which we put some constraints on the $B_s \to D_s^{**}\ellν$ form factors.

基于(2+1)味格点QCD的$D_s \to ϕ\ell ν_\ell$半轻子衰变研究

Study of the $D_s \to ϕ\ell ν_\ell$ semileptonic decay with (2+1)-flavor lattice QCD

利用(2+1)味格点QCD精确计算$D_s \to ϕ\ell ν_\ell$衰变，得到高精度形状因子和分支比，并提取CKM矩阵元$|V_{cs}|$，为轻子普适性检验提供理论支持。

$D \rightarrow Klν$ semileptonic decay using lattice QCD with HISQ at physical pion masses

The quark flavor sector of the Standard Model is a fertile ground to look for new physics effects through a unitarity test of the Cabbibo-Kobayashi-Maskawa (CKM) matrix. We present a lattice QCD calculation of the scalar and the vector form factors (over a large $q^2$ region including $q^2 = 0$) associated with the $D \rightarrow Klν$ semi-leptonic decay. This calculation will then allow us to determine the central CKM matrix element, $V_{cs}$ in the Standard Model, by comparing the lattice QCD results for the form factors and the experimental decay rate. This form factor calculation has been …

粲强子轻子衰变与半轻子衰变的最新进展

Recent Progress in Leptonic and Semileptonic Decays of Charmed Hadrons

本文综述粲强子轻子与半轻子衰变的最新研究，介绍相关理论实验工具，阐述BESIII阈值数据对粲物理研究的重要作用，该研究可深化量子色动力学认知并检验标准模型。

Chiral behavior of kaon semileptonic form factors in lattice QCD with exact chiral symmetry

We calculate the kaon semileptonic form factors in lattice QCD with three flavors of dynamical overlap quarks. Gauge ensembles are generated at pion masses as low as 290 MeV and at a strange quark mass near its physical value. We precisely calculate relevant meson correlators using the all-to-all quark propagator. Twisted boundary conditions and the reweighting technique are employed to vary the momentum transfer and the strange quark mass. We discuss the chiral behavior of the form factors by comparing with chiral perturbation theory and experiments.

Semileptonic $B\toπ\ellν$, $B\to D\ellν$, $B_s\to K\ellν$, and $B_s\to D_s\ellν$ decays

We present updates for our nonperturbative lattice QCD calculations to determine semileptonic form factors for exclusive $B\to π\ellν$, $B\to D \ellν$, $B_s\to K\ell ν$, and $B_s\to D_s\ellν$ decays. Our calculation is based on RBC-UKQCD's set of $2+1$-dynamical-flavor gauge field ensembles. In the valence sector we use domain wall fermions for up/down, strange and charm quarks, whereas bottom quarks are simulated with the relativistic heavy quark action. The continuum limit is based on three lattice spacings. Using kinematical $z$ expansions we aim to obtain form factors over the full $q^2$ r…

Semileptonic form factors for $B \to D^\ast\ellν$ at nonzero recoil from 2 + 1-flavor lattice QCD

We present the first unquenched lattice-QCD calculation of the form factors for the decay $B\rightarrow D^\ast\ellν$ at nonzero recoil. Our analysis includes 15 MILC ensembles with $N_f=2+1$ flavors of asqtad sea quarks, with a strange quark mass close to its physical mass. The lattice spacings range from $a\approx 0.15$ fm down to $0.045$ fm, while the ratio between the light- and the strange-quark masses ranges from 0.05 to 0.4. The valence $b$ and $c$ quarks are treated using the Wilson-clover action with the Fermilab interpretation, whereas the light sector employs asqtad staggered fermion…

The \boldmath$B\to D^\ast\ellν$ semileptonic decay at nonzero recoil and its implications for $\ |V_{cb}\ |$ and $R(D^\ast)$

We present nearly final results from our analysis of the form factors for $B\to D^\ast\ellν$ decay at nonzero recoil. Our analysis includes 15 MILC asqtad ensembles with $N_f=2+1$ flavors of sea quarks and lattice spacings ranging from $a\approx0.15$ fm down to $0.045$ fm. The valence light quarks employ the asqtad action, whereas the $b$ and $c$ quarks are treated using the Fermilab action. We discuss the impact that our results will have on $\ |V_{cb}\ |$ and $R(D^\ast)$.

D meson semileptonic decays in lattice QCD with Moebius domain-wall quarks

We report on our study of the D meson semileptonic decays in 2+1 flavor lattice QCD. Gauge ensembles are generated at three lattice cutoffs up to 4.5 GeV and with pion masses as low as 300 MeV. We employ the Moebius domain-wall fermion action for both light and charm quarks. We report our preliminary results for the vector and scalar form factors and discuss their dependence on the momentum transfer, quark masses and lattice spacing.

Semileptonic decays $B\rightarrow D^{(*)}lν$ at nonzero recoil

We have analyzed the semileptonic decays $B\rightarrow D\ellν$ and $B\rightarrow D^*\ellν$ on the full suite of MILC (2+1)-flavor asqtad ensembles with lattice spacings as small as 0.045 fm and light-to-strange-quark mass ratios as low as 1/20. We use the Fermilab interpretation of the clover action for heavy valence quarks and the asqtad action for light valence quarks. We compute the hadronic form factors for $B\rightarrow D$ at both zero and nonzero recoil and for $B\rightarrow D^*$ at zero recoil. We report our results for $|V_{cb}|$.

Heavy-meson semileptonic decays for the Standard Model and beyond

We calculate the form factors for the semileptonic decays $B_s\to K\ellν$ and $B\to K\ell\ell$ with lattice QCD. We work at several lattice spacings and a range of light quark masses, using the MILC 2+1-flavor asqtad ensembles. We use the Fermilab method for the $b$ quark. We obtain chiral-continuum extrapolations for $E_K$ up to $\sim1.2$ GeV and then extend to the entire kinematic range with the model-independent $z$ expansion.

2+1 flavor simulations of QCD with improved staggered quarks

The MILC collaboration has been performing realistic simulations of full QCD with 2+1 flavors of improved staggered quarks. Our simulations allow for controlled continuum and chiral extrapolations. I present results for the light pseudoscalar sector: masses and decay constants, quark masses and Gasser-Leutwyler low-energy constants. In addition I will present some results for heavy-light mesons, decay constants and semileptonic form factors, obtained in collaboration with the HPQCD and Fermilab lattice collaborations. Such calculations will help in the extraction of CKM matrix elements from ex…

Current progress on the semileptonic form factors for $\bar{B} \to D^{\ast} \ell \barν$ decay using the Oktay-Kronfeld action

We present recent progress in calculating the semileptonic form factors $h_{A_1}(w)$ for the $\bar{B} \to D^{\ast} \ell \barν$ decays. We use the Oktay-Kronfeld (OK) action for the charm and bottom valence quarks and the HISQ action for light quarks. We adopt the Newton method combined with the scanning method to find a good initial guess for the $χ^2$ minimizer in the fitting of the 2pt correlation functions. The main advantage is that the Newton method lets us to consume all the time slices allowed by the physical positivity. We report the first, reliable, but preliminary results for $h_{A_1…

Quark Loop Effects in Semileptonic Form Factors for Heavy-Light Mesons

We present preliminary results of a determination of the semileptonic form factor for the decay of pseudoscalar heavy-light mesons to pseudoscalar light-light mesons in full QCD. In this preliminary study we focus on the effects of dynamical quark loops. Accordingly, we compare results of simulations with matched quenched and Asqtad dynamical gauge configurations. The latter include three flavors of light quarks. Our simulation uses clover Wilson valence quarks, treated in the Fermilab formalism. Preliminary results, as yet uncorrected by continuum matching factors, suggest a measurable enhanc…

Λ→pℓν̄_ℓ半轻子衰变的最新结果

Recent results on the $Λ\rightarrow p\ell \barν_\ell$ semileptonic decay

通过格点QCD方法确定Λ→pℓν̄_ℓ衰变的形式因子，并结合实验数据提取CKM矩阵元|V_us|，检验轻子味普遍性。

Hyperon vector coupling f_1(0) from 2+1 flavor lattice QCD

We present results for the hyperon vector form factor f_1 for $Ξ^0 \rightarrow Σ^+ l\barν$ and $Σ^- \rightarrow n l\barν$ semileptonic decays from dynamical lattice QCD with domain-wall quarks. Simulations are performed on the 2+1 flavor gauge configurations generated by the RBC and UKQCD Collaborations with a lattice cutoff of 1/a = 1.7 GeV. Our preliminary results, which are calculated at the lightest sea quark mass (pion mass down to approximately 330 MeV), show that a sign of the second-order correction of SU(3) breaking on hyperon vector coupling f_1(0) is likely negative.

来自四味格点QCD的D介子到赝标量介子的半轻衰变

D-meson semileptonic decays to pseudoscalars from four-flavor lattice QCD

本文利用四味格点QCD计算D介子到π、K及Ds到K半轻衰变的形状因子，结合实验数据精确提取CKM矩阵元|Vcd|和|Vcs|，并给出轻子味普适性比值与CKM幺正性检验。

格点上的遍举半轻$B_s\to K \ell ν$衰变

Exclusive semileptonic $B_s\to K \ell ν$ decays on the lattice

本研究利用格点QCD计算$B_s\to K \ell ν$衰变的形状因子，结合实验确定CKM矩阵元$|V_{ub}|$，并给出可检验轻子味普适性的R比值结果。

Semileptonic $B$-meson decays to light pseudoscalar mesons on the HISQ ensembles

We report the status of an ongoing lattice-QCD calculation of form factors for exclusive semileptonic decays of $B$ mesons with both charged currents ($B\toπ\ellν$, $B_s\to K\ellν$) and neutral currents ($B\toπ\ell^+\ell^-$, $B\to K\ell^+\ell^-$). The results are important for constraining or revealing physics beyond the Standard Model. This work uses MILC's (2+1+1)-flavor ensembles with the HISQ action for the sea and light valence quarks and the clover action in the Fermilab interpretation for the $b$ quark. Simulations are carried out at three lattice spacings down to $0.088$ fm, with both …

Chiral behavior of light meson form factors in 2+1 flavor QCD with exact chiral symmetry

We present a study of chiral behavior of light meson form factors in QCD with three flavors of overlap quarks. Gauge ensembles are generated at single lattice spacing 0.12 fm with pion masses down to 300 MeV. The pion and kaon electromagnetic form factors and the kaon semileptonic form factors are precisely calculated using the all-to-all quark propagator. We discuss their chiral behavior using the next-to-next-to-leading order chiral perturbation theory.

Semileptonic form factor ratio B_s->D_s/B->D and its application to BR(B^0_s->μ^+μ^-)

We present a (2+1)-flavor lattice QCD calculation of the form factor ratio between the semileptonic decays $\bar{B}^0_s \to D^+_sl^-\barν $ and $\bar{B}^0 \to D^+l^-\barν $. This ratio is an important theoretical input to the hadronic determination of the $B$ meson fragmentation fraction ratio $f_s/f_d$ which enters in the measurement of $\mathrm{BR}(B^0_s\to μ^+μ^-)$. Small lattice spacings and high statistics enable us to simulate the decays with a dynamic final $D$ meson of small momentum and reliably extract the hadronic matrix elements at nonzero recoil. We report our preliminary result f…

Hypercubic effects in semileptonic decays of heavy mesons, toward $B \to π\ell ν$, with $N_f=2+1+1$ Twisted fermions

We present a preliminary study toward a lattice determination of the vector and scalar form factors of the $B \to π\ell ν$ semileptonic decays. We compute the form factors relative to the transition between heavy-light pseudoscalar mesons, with masses above the physical D-mass, and the pion. We simulate heavy-quark masses in the range $m_c^{phys} < m_h < 2m_c^{phys}$. Lorentz symmetry breaking due to hypercubic effects is clearly observed in the data, and included in the decomposition of the current matrix elements in terms of additional form factors. We discuss the size of this breaking as th…