Constrained Curve Fitting

Abstract

We survey techniques for constrained curve fitting, based upon Bayesian statistics, that offer significant advantages over conventional techniques used by lattice field theorists.

Lattice2001(plenary); plenary talk given by G.P. Lepage at Lattice 2001 (Berlin); 9 pages, 5 figures (postscript specials)

Cited by in corpus (207)

• QCD and strongly coupled gauge theories: challenges and perspectives
• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
• High Precision determination of the pi, K, D and D_s decay constants from lattice QCD
• High-Precision c and b Masses, and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• $B$- and $D$-meson leptonic decay constants from four-flavor lattice QCD
• $B\to Dl\nu$ Form Factors at Non-Zero Recoil and Extraction of $|V_{cb}|$
• Lattice QCD calculation of form factors describing the rare decays $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ and $B_s\to \varphi {\ell }^{+}{\ell }^{-}$
• The Upsilon spectrum and m_b from full lattice QCD
• B- and D-meson decay constants from three-flavor lattice QCD
• Update: Precision D_s decay constant from full lattice QCD using very fine lattices
• Unitarized Chiral Perturbation Theory in a finite volume: scalar meson sector
• Neutral B Meson Mixing in Unquenched Lattice QCD
• Quarkonium correlators and spectral functions at zero and finite temperature
• Model independent extraction of the proton charge radius from electron scattering
• Vus from pi and K decay constants in full lattice QCD with physical u, d, s and c quarks
• The electrical conductivity and soft photon emissivity of the QCD plasma
• $B_{(s)}^0$-mixing matrix elements from lattice QCD for the Standard Model and beyond
• B Meson Semileptonic Form Factors from Unquenched Lattice QCD
• Light Meson Physics from Maximally Twisted Mass Lattice QCD
• High-precision quark masses and QCD coupling from $n_f=4$ lattice QCD
• B-parameters of the complete set of matrix elements of (Delta B = 2) operators from the lattice
• B-meson decay constants from improved lattice NRQCD and physical u, d, s and c sea quarks
• Precision tests of the J/ψ from full lattice QCD: mass, leptonic width and radiative decay rate to η_c
• Heavy meson masses and decay constants from relativistic heavy quarks in full lattice QCD
• Precise heavy-light meson masses and hyperfine splittings from lattice QCD including charm quarks in the sea
• Extraction of the proton radius from electron-proton scattering data
• Bayesian truncation errors in chiral effective field theory: nucleon-nucleon observables
• Bayesian model averaging for analysis of lattice field theory results
• Comment on form factor shape and extraction of |V_ub| from B --> pi l nu
• The Upsilon spectrum and the determination of the lattice spacing from lattice QCD including charm quarks in the sea
• Lattice QCD at non-zero temperature
• Neutral B-meson mixing from full lattice QCD at the physical point
• High-Precision Charm-Quark Mass and QCD Coupling from Current-Current Correlators in Lattice and Continuum QCD
• $B\to \pi \ell \nu$ and $B_s\to K\ell \nu$ form factors and $|V_{ub}|$ from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
• B-meson decay constants: a more complete picture from full lattice QCD
• $B\to K{l}^{+}{l}^{-}$ decay form factors from three-flavor lattice QCD
• Hadronic-vacuum-polarization contribution to the muon's anomalous magnetic moment from four-flavor lattice QCD
• The B and B_s Meson Decay Constants from Lattice QCD
• The B -> pi l nu semileptonic form factor from three-flavor lattice QCD: A model-independent determination of |V(ub)|
• Up-, down-, strange-, charm-, and bottom-quark masses from four-flavor lattice QCD
• Precise determination of the lattice spacing in full lattice QCD
• A recipe for EFT uncertainty quantification in nuclear physics
• Bayesian parameter estimation for effective field theories
• Rare decay B -> K ll form factors from lattice QCD
• Direct determination of the strange and light quark condensates from full lattice QCD
• First determination of the strange and light quark masses from full lattice QCD
• $D\to K,l\nu$ Semileptonic Decay Scalar Form Factor and $|V_{cs}|$ from Lattice QCD
• Standard Model predictions for B -> Kll with form factors from lattice QCD
• Valence parton distribution of pion from lattice QCD: Approaching continuum
• $B_s\to K\ell \nu$ form factors from lattice QCD
• The ${\rm Y}$ and ${{\rm Y}}^{\prime }$ Leptonic Widths, $a_{\mu }^b$ and $m_b$ from full lattice QCD
• Precise charm to strange mass ratio and light quark masses from full lattice QCD
• Excited hadrons on the lattice: Baryons
• The Search for Beauty-fully Bound Tetraquarks Using Lattice Non-Relativistic QCD
• Accurate Determinations of ${\alpha }_s$ from Realistic Lattice QCD
• Roper Resonance and S_{11}(1535) from Lattice QCD
• Scalar Mesons a0(1450) and sigma(600) from Lattice QCD
• Mass of the B_c Meson in Three-Flavor Lattice QCD
• High-Precision $f_{B_s}$ and HQET from Relativistic Lattice QCD
• The hadronic vacuum polarization contribution to $a_{\mu }$ from full lattice QCD
• $B_s\to D_s\ell \nu$ Form Factors for the full $q^2$ range from Lattice QCD with non-perturbatively normalized currents
• Bottomonium spectrum at order v^6 from domain-wall lattice QCD: precise results for hyperfine splittings
• Average up/down, strange and charm quark masses with Nf=2 twisted mass lattice QCD
• High-precision determination of the light-quark masses from realistic lattice QCD
• $B\to K$ and $D\to K$ form factors from fully relativistic lattice QCD
• Update: Accurate Determinations of alpha_s from Realistic Lattice QCD
• Semileptonic form factors for $B\to D^{\ast }\ell \nu$ at nonzero recoil from 2 + 1-flavor lattice QCD
• Precise B, B_s and B_c meson spectroscopy from full lattice QCD
• Bayesian Methods for Parameter Estimation in Effective Field Theories
• $D\to \pi ,l\nu$ Semileptonic Decays, $|V_{cd}|$ and 2${}^{nd}$ Row Unitarity from Lattice QCD
• Charmonium properties from lattice QCD + QED: hyperfine splitting, $J/\psi$ leptonic width, charm quark mass and $a_{\mu }^c$
• Excited hadrons on the lattice: Mesons
• Heavy-light mesons with staggered light quarks
• Meson masses and decay constants from unquenched lattice QCD
• Lattice QCD calculation of the $B_{(s)}\to D_{(s)}^{\ast }\ell \nu$ form factors at zero recoil and implications for $|V_{cb}|$
• On the Feynman-Hellmann Theorem in Quantum Field Theory and the Calculation of Matrix Elements
• Light-quark connected intermediate-window contributions to the muon $g-2$ hadronic vacuum polarization from lattice QCD
• Hadron Spectroscopy with Dynamical Chirally Improved Fermions
• Two-nucleon S-wave interactions at the $SU(3)$ flavor-symmetric point with $m_{ud}\simeq m_s^{\mathrm{phys}}$: a first lattice QCD calculation with the stochastic Laplacian Heaviside method
• Bottom baryons from a dynamical lattice QCD simulation
• Deuteron-like heavy dibaryons from Lattice QCD
• B_s->D_s/B->D Semileptonic Form-Factor Ratios and Their Application to BR(B^0_s->μ^+μ^-)
• Spectral Analysis of Excited Nucleons in Lattice QCD with Maximum Entropy Method
• A Prediction of the B*_c mass in full lattice QCD
• In-medium modifications of open and hidden strange-charm mesons from spatial correlation functions
• Spatially improved operators for excited hadrons on the lattice
• $B_K$ using HYP-smeared staggered fermions in $N_f=2+1$ unquenched QCD
• Isovector charges of the nucleon from 2+1-flavor QCD with clover fermions
• Prediction of the bottomonium D-wave spectrum from full lattice QCD
• Prediction of the $D_s^{\ast }$ width from a calculation of its radiative decay in full lattice QCD
• The charm-quark contribution to light-by-light scattering in the muon $(g-2)$ from lattice QCD
• Lattice QCD study of the s-wave $\pi \pi$ scattering lengths in the I=0 and 2 channels
• |V_cd| from D Meson Leptonic Decays
• Universality and the QCD Anderson Transition
• $B_c\to J/\psi$ Form Factors for the full $q^2$ range from Lattice QCD
• Improved determination of $B_K$ with staggered quarks
• Lattice QCD form factor for $B_s\to D_s^{\ast }l\nu$ at zero recoil with non-perturbative current renormalisation
• V_cs from D_s to ϕlν semileptonic decay and full lattice QCD
• Lattice QCD study of doubly-charmed strange baryons
• Finite size scaling of conformal theories in the presence of a near-marginal operator
• Tuning Fermilab Heavy Quarks in 2+1 Flavor Lattice QCD with Application to Hyperfine Splittings
• Large-$N_c$ naturalness in coupled-channel meson-meson scattering
• Kaon BSM B-parameters using improved staggered fermions from $N_f=2+1$ unquenched QCD
• A study of the eta and eta' mesons with improved staggered fermions
• Chiral Logs in Quenched QCD
• Improved information criteria for Bayesian model averaging in lattice field theory
• Lattice QCD study of mixed systems of pions and kaons
• Prediction of the Omega_bbb mass from lattice QCD
• Quark masses and strong coupling constant in 2+1 flavor QCD
• Isolating Excited States of the Nucleon in Lattice QCD
• Derivative sources in lattice spectroscopy of excited light-quark mesons
• Study of the pseudoscalar glueball in $J/\psi$ radiative decays
• The bottomonium spectrum from lattice QCD with 2+1 flavors of domain wall fermions
• Form factors of $B\to \pi \ell \nu$ and a determination of $|V_{ub}|$ with Möbius domain-wall-fermions
• Heavy Quark Effective Theory computation of the mass of the bottom quark
• Extracting excited states from lattice QCD: the Roper resonance
• Perturbative expansions from Monte Carlo simulations at weak coupling: Wilson loops and the static-quark self-energy
• The size of the pion from full lattice QCD with physical $u$, $d$, $s$ and $c$ quarks
• HQET at order $1/m$: II. Spectroscopy in the quenched approximation
• An estimate of the hadronic vacuum polarization disconnected contribution to the anomalous magnetic moment of the muon from lattice QCD
• Neutral B-meson mixing from three-flavor lattice QCD: Determination of the SU(3)-breaking ratio ξ
• The pseudoscalar meson electromagnetic form factor at high $Q^2$ from full lattice QCD
• Short-distance matrix elements for $D^0$-meson mixing for $N_f=2+1$ lattice QCD
• Lattice calculations of meson correlators and spectral functions at finite temperature
• $B_c\to B_{s(d)}$ form factors from lattice QCD
• $B\to \pi \ell \nu$ at zero recoil from lattice QCD with physical $u/d$ quarks
• Nucleon axial form factor from a Bayesian neural-network analysis of neutrino-scattering data
• Improved $V_{cs}$ determination using precise lattice QCD form factors for $D\to K\ell \nu$
• D-meson semileptonic decays to pseudoscalars from four-flavor lattice QCD
• Approaches to inclusive semileptonic $B_{(s)}$-meson decays from Lattice QCD
• Quarkonium at Finite Temperature
• The mass of the b-quark from lattice NRQCD and lattice perturbation theory
• Neutral $B$ mixing from 2+1 flavor lattice-QCD: the Standard Model and beyond
• Scale setting the Möbius Domain Wall Fermion on gradient-flowed HISQ action using the omega baryon mass and the gradient-flow scales $t_0$ and $w_0$
• Excited-State Effective Masses in Lattice QCD
• Moving NRQCD for heavy-to-light form factors on the lattice
• Bottomonium hyperfine splittings from lattice NRQCD including radiative and relativistic corrections
• Precise determination of decay rates for ${\eta }_c\to \gamma \gamma$, $J/\psi \to \gamma {\eta }_c$ and $J/\psi \to {\eta }_c{e}^{+}{e}^{-}$ from lattice QCD
• Renormalising vector currents in lattice QCD using momentum-subtraction schemes
• Excited Upsilon Radiative Decays
• Behavior near $\theta =\pi$ of the mass gap in the 2D O(3) non-linear sigma model
• Lattice QCD matrix elements for the $B_s^0-{\bar{B}}_s^0$ width difference beyond leading order
• Nonperturbative comparison of clover and HISQ quarks in lattice QCD and the properties of the phi meson
• Model averaging approaches to data subset selection
• Bottomonium precision tests from full lattice QCD: hyperfine splitting, ${\rm Y}$ leptonic width and $b$ quark contribution to $e^{+}{e}^{-}\to$ hadrons
• Spectral density analysis of time correlation functions in lattice QCD using the maximum entropy method
• Fast Fits for Lattice QCD Correlators
• Numerical study of the unitary Fermi gas across the superfluid transition
• Twisted mass QCD for the pion electromagnetic form factor
• Hindered M1 Radiative Decay of ${\rm Y}(2S)$ from Lattice NRQCD
• Radiative contribution to the effective potential in composite Higgs models from lattice gauge theory
• Renormalisation of the tensor current in lattice QCD and the $J/\psi$ tensor decay constant
• Strong coupling constant and quark masses from lattice QCD
• Chebyshev approximation and the global geometry of sloppy models
• Critical behaviour of the O(3) nonlinear sigma model with topological term at theta=pi from numerical simulations
• Form factors for the processes $B_c^{+}\to D^0{\ell }^{+}{\nu }_{\ell }$ and $B_c^{+}\to D_s^{+}{\ell }^{+}{\ell }^{-}(\nu \overline{\nu })$ from lattice QCD
• Determination of ${\overline{m}}_b/{\overline{m}}_c$ and ${\overline{m}}_b$ from $n_f=4$ lattice QCD$+$QED
• Excited states in nucleon structure calculations
• Bayesian inference of real-time dynamics from lattice QCD
• Localisation in 2+1 dimensional SU(3) pure gauge theory at finite temperature
• Perturbation theory vs. simulation for tadpole improvement factors in pure gauge theories
• Full O(a) improvement in EQCD
• Localization and chiral properties near the ordering transition of an Anderson-like toy model for QCD
• Pion and kaon physics with improved staggered quarks
• Semileptonic B Decays from an NRQCD/D234 Action
• Toward accurate form factors for $B$-to-light meson decay from lattice QCD
• Streamlined data analysis in Python
• Bottom hadron mass splittings in the static limit from 2+1 flavour lattice QCD
• Low and high spin mesons from $N_f=2$ Clover-Wilson lattices
• Photon operators for lattice gauge theory
• The Quenched Continuum Limit
• Nucleon Mass with Highly Improved Staggered Quarks
• Detailed analysis of excited state systematics in a lattice QCD calculation of $g_A$
• Non-zero temperature study of spin 1/2 charmed baryons using lattice gauge theory
• Deconfinement transition and localization of Dirac modes in finite-temperature ${\mathbb{Z}}_3$ gauge theory on the lattice
• More about excited bottomonium radiative decays
• Excited hadrons from improved interpolating fields
• Perturbative Wilson loops from unquenched Monte Carlo simulations at weak couplings
• Quarkonium correlators and spectral functions at zero and finite temperature from Fermilab action
• The Hadron Spectrum from Lattice QCD
• Extraction of multiple exponential signals from lattice correlation functions
• Evolutionary Fitting Methods for the Extraction of Mass Spectra in Lattice Field Theory
• Comments on high-energy total cross sections in QCD
• Bottomonium Hyperfine Splitting on the Lattice and in the Continuum
• Baryon structure from Lattice QCD
• Heavy-Light Meson Semileptonic Decays with Staggered Light Quarks
• Mass spectrum of 1-+ exotic mesons from lattice QCD
• Hadron Spectrum from Dynamical Lattice QCD Simulations
• A Problem in Particle Physics and Its Bayesian Analysis
• Di-nucleons do not form bound states at heavy pion mass
• Calculating $B_K$ using HYP staggered fermions
• Charmonium properties at finite temperature on quenched anisotropic lattices
• Screening masses in quenched (2+1)d Yang-Mills theory: universality from dynamics?
• Cutoff effects in meson spectral functions
• Statistical tweaks and flow scale from masses
• The radiative decay of scalar glueball from lattice QCD
• Excitations of strange bottom baryons
• Determination of $B_K$ using improved staggered fermions (I): SU(3) chiral perturbation theory fit
• Neutral B mixing from 2+1 flavor lattice QCD
• Improving the Kinetic Couplings in Lattice Non-Relativistic QCD
• Improving non-linear fits
• B^0_s and B^0 Mixing in the Standard Model and Beyond: A Progress Report
• Spectral sum of current correlators from lattice QCD
• SU(2) gauge theory with one and two adjoint fermions towards the continuum limit
• A Novel data Pre-processing method for multi-dimensional and non-uniform data
• Ground state mass in short lattices by controlling overconfidence and bias in Bayesian fits