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QCD Sum Rules, a Modern Perspective
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An introduction to the method of QCD sum rules is given for those who want to learn how to use this method. Furthermore, we discuss various applications of sum rules, from the determination of quark masses to the calculation of hadronic form factors and structure functions. Finally, we explain the idea of the light-cone sum rules and outline the recent development of this approach.
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Cited by 47 Pith papers
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Unitarity bounds with subthreshold and anomalous cuts for $b$-hadron decays
A generalized, unitarity-bounded parametrization for b-hadron decay form factors that incorporates subthreshold and anomalous branch cuts is constructed.
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Three-particle di-light-cone distribution amplitudes of the $B$-meson in heavy-quark effective theory
The authors identify eight independent three-particle DLCDAs of the B-meson, perform their complete Lorentz decomposition in definite-twist basis, obtain tree-level relations for integrals and moments from operator id...
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Bootstrapping Pion Form Factors at Large $N$
Bootstrap analysis of meromorphic observables in large-N QCD yields universal and SVZ-type bounds that constrain chiral Lagrangian parameters and link hadronic data to asymptotic freedom.
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$D\to P \ell^+\ell^-$ decays assisted by QCD light-cone sum rules
A new LCSR-assisted dispersion method predicts the D+ to pi+ l+ l- branching fraction and shows that the short-distance c to u l+ l- transition is practically invisible in the Standard Model.
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An improved moment QCD sum rule
An improved moment sum rule incorporating duality and dependence conditions uniquely fixes the continuum threshold and ground-state mass without ad-hoc OPE/pole criteria, matching prior Laplace results for a light tetraquark.
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Hadronic photon correction to $\gamma^{\ast} \gamma \to f_{2}(1270)$ at next-to-leading order
Hadronic photon corrections to gamma* gamma -> f2(1270) are computed at NLO with NLL resummation, giving updated form factors that raise T0 toward Belle data.
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Beyond Borel Windows: A Systematic Optimization Framework for QCD Sum Rules
A new OPE-entropy-based optimization framework for QCD sum rule windows predicts the fully charmed 2++ tetraquark mass at 6.32 ± 0.11 GeV.
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The semileptonic decays of $\mathcal{B}_{Q_{1}Q_{2}}(\frac{1}{2}^{+})\rightarrow\mathcal{B}_{Q_{1}}^{*}(\frac{3}{2}^{+})$ in QCD sum rules
Systematic QCD sum-rule computation of 1/2→3/2 semileptonic transition form factors for doubly heavy baryons, yielding predicted widths and polarization observables.
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Positivity properties of observables in planar maximally supersymmetric Yang-Mills theory
Several observables in planar N=4 SYM, including the octagon anomalous dimension and Bremsstrahlung function, admit a once-subtracted dispersion representation over a positive measure in the coupling.
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Decay constants of $B_c$-mesons with vector and tensor currents
QCD sum-rule computation of vector/axial-vector and tensor/axial-tensor decay constants for B_c, B_c*, B_c0*, B_c1 mesons, with refined power corrections and first tensor results.
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A Phenomenological Model of Mesons for Charged Current Weak Decays
A symmetry-guided phenomenological model organizes leading current-current operators for charged-current decays of heavy-light mesons and reproduces heavy-quark scaling relations for decay constants and form factors.
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Probing Excited $q\bar{q}$ Mesons via QCD Sum Rules
QCD sum rules at NLO with derivative-inserted currents yield masses for several J^P=2± nonets and J=0,1 states that match experimental values.
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Spectrum of $J^{PC} = 0^{\pm\pm}$ Gluonic Hidden-Charm Tetraquark States
QCD sum rule analysis predicts six stable gluonic hidden-charm tetraquark states with J^PC = 0^{±±} and estimates masses for their hidden-bottom partners.
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Weak Scale Triggers in the SMEFT
No weak scale triggers exist in the SMEFT up to dimension six (and likely eight) that can solve the hierarchy problem far above the weak scale.
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Topped baryons from QCD sum rules
QCD sum rules in HQET predict ground-state singly topped baryon masses near 174 GeV, some 1.1-1.5 GeV above the top quark pole mass.
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SCET sum rules for $\Lambda_b \to \Lambda \ell^+\ell^-$, $\Lambda \gamma$ decays
SCET light-cone sum rules give NLO soft form factors and small non-factorizable corrections for Λ_b → Λ decays, with a Λ_b → Λ γ branching fraction consistent with data.
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Form factors of light pseudoscalar mesons from the perturbative QCD approach
Adding intrinsic transverse momentum distributions to perturbative QCD improves form-factor predictions at low momentum transfer and gives beta_pi^2 = 0.51, beta_K^2 = 0.30 GeV^-2, m_0^pi = 1.84 GeV.
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Precision calculations of $B\to K^*$ form factors from SCET sum rules beyond leading-power contributions
New subleading-power corrections to B to K* form factors from SCET sum rules yield SM branching fractions BR(Bbar0 to Kbar*0 nu nubar)=8.09(96)e-6 and F_L=0.44(4).
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Revisiting Quark Confinement in the Proton through the Force on Quarks
Using light-cone sum-rule input and Tikhonov-regularized inversion, the paper reconstructs the quark confining force in the proton and confirms an attractive, approximately linear-potential force at intermediate distances.
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Could $\bar{\Lambda}_c$ and $\Lambda_c$ form bound hadronic molecule with explicit $P-wave$ ?
P-wave Λ̄cΛc dibaryon states with J^PC = 0^-± and 1^-± are extracted at ~5.7–5.8 GeV, about 0.9 GeV above their constituent thresholds, so they are unlikely to be bound molecules.
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SU(3)-flavor breaking as a structural probe of hidden-charm-strange $0^{--}$ tetraquarks in a color-octet basis
SU(3) flavor breaking produces grouped rather than uniform mass shifts that distinguish [cc][ss]-type from [cs][sc]-type color-octet currents for 0-- hidden-charm-strange tetraquarks.
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Subtraction of infrared divergences in light-quark QCD sum rules
A subtraction formula is presented to eliminate infrared divergences in light-quark propagators for QCD sum rules at the propagator level.
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From QCD sum rules to HQET sum rules: Heavy-quark limit of four-quark operator matrix elements
Computes four-quark operator matrix elements via QCD sum rules, derives their HQET limit, demonstrates numerical consistency between the two, and identifies the source of prior literature discrepancies.
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Unitarity bounds and form-factor predictions for $B$-meson decays
Reviews unitarity bounds for B-meson form factors, shows standard methods apply rigorously only to B→π, develops GG parametrization for general cases, and delivers combined-analysis predictions with public supplementa...
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Spectroscopy of hidden-heavy tetraquark states with $J^{PC}=0^{--}$ in a color-octet configuration
QCD sum rules yield mass predictions of 10.8-11.1 GeV for four hidden-bottom 0-- tetraquarks and 4.3-4.6 GeV for their hidden-charm partners in color-octet setups.
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Hidden-charm and -bottom tetraquark states with $J^{PC}=1^{-+}$ via QCD sum rules
QCD sum rules predict masses of 4.72-4.88 GeV for four hidden-charm 1^{-+} tetraquarks and 10.99-11.16 GeV for their hidden-bottom counterparts.
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Analysis of the hidden-charm pentaquark candidates in the $J/\psi \Lambda$ mass spectrum via the QCD sum rules
QCD sum rules yield masses for I=0 negative-parity udsc c-bar pentaquarks that match the P_cs(4338) and P_cs(4459) states.
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Mechanical properties of the $\Omega^-$ baryon from gravitational form factors
Using QCD sum rules, the authors extract seven gravitational form factors of the Omega baryon and derive its internal energy, angular momentum, pressure, shear, radii, and D-terms.
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Investigating triply heavy tetraquark states through QCD sum rules
QCD sum rules with condensates up to dimension 9 predict triply heavy tetraquark masses of 5.4 to 6.2 GeV for charm systems and 14.9 to 15.7 GeV for bottom systems.
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Analysis of the hidden-charm pentaquark candidates in the $J/\psi \Sigma^*$ mass spectrum via the QCD sum rules
QCD sum rules predict uusc anti-c decuplet pentaquark masses of 4.53-4.74 GeV with negative parity and suggest the Sigma_b^+ -> J/psi Sigma*^+ phi decay chain for searches.
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Analysis of the hidden-charm pentaquark candidates in the $J/\psi \Omega$ mass spectrum via the QCD sum rules
QCD sum rules give ground-state masses ~4.87–5.00 GeV for diquark-diquark-antiquark sssc¯c pentaquarks with IJ^P=0 1/2−, 0 3/2−, 0 5/2−, to be sought in Ωb→Pcsss φ→J/ψ Ω φ.
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QCD sum-rule determination of the axial-vector mixing angle in the \texorpdfstring{\(B_c(1P)\)}{Bc(1P)} sector
QCD sum rules determine the axial-vector mixing angle θ_Bc(1P) = (43.3 ± 0.2)° in the B_c(1P) sector.
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Analysis of the hidden-charm pentaquark candidates in the $J/\psi \Xi^*$ mass spectrum via the QCD sum rules
QCD sum rules yield mass predictions for the lowest decuplet qssc c-bar pentaquarks with IJ^P = 1/2 1/2^-, 1/2 3/2^-, 1/2 5/2^- and propose searches in Xi_b and Omega_b decays.
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$|V_{cb}|$ determinations from $\bar{B} \to D^{(*)} \ell \bar\nu$ decays within the SM and beyond
Fits to B to D(*) l nu form factors with BSZ, BGL and HQET yield |V_cb| matching PDG average for BGL but smaller for HQET, while data still allows non-zero new physics contributions.
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QCD Sum Rule Analysis of a Compact $D^{+}D^{-}K^{+}$-Like Hidden-Charm Hexaquark with $J^{P}=0^{-}$
QCD sum rule analysis predicts the mass of a J^P=0^- compact hidden-charm hexaquark to be 3.94-4.41 GeV.
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Two-body strong decays of the pseudoscalar hidden-charm tetraquark states via the QCD sum rules
QCD sum rules give total decay widths of 326 MeV for Z_c^- (0^{--}) and 92 MeV for Z_c^+ (0^{-+}) pseudoscalar hidden-charm tetraquarks.
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Systematic study of the strong decays of the $P_c$ states and their possible isospin cousins via the QCD sum rules
QCD sum rules yield strong decay widths for Pc pentaquarks as molecular states that match experiment for known members and predict values for isospin cousins.
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Analysis of the semileptonic decays of $\Xi_{cc}$ and $\Omega_{cc}$ baryons in QCD sum rules
QCD sum rules yield form factors that are extrapolated to predict semileptonic decay widths for Ξ_cc^{++} and Ω_cc^+ baryons into singly charmed states plus lepton-neutrino pairs.
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Mass Spectra of $\Lambda_Q\bar{\Sigma}_Q$ Hexaquark States in QCD Sum Rules
QCD sum rules predict Λ_c Σ_c hexaquark ground-state masses around 5.8 GeV, above threshold and consistent with no bound state observed by BESIII.
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Analysis of the hidden-charm pentaquark candidates in the $J/\psi \Xi$ mass spectrum via the QCD sum rules
QCD sum rules applied to new color-bar3-bar3-bar3 currents give mass predictions for qssc anti-c pentaquarks with IJ^P = 1/2 1/2^-, 1/2 3/2^- and 1/2 5/2^-, indicating they are not scalar-diquark-scalar-diquark-antiqu...
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Analysis of the strong decays of the $Y(4660)$ in tetraquark scenario via the QCD sum rules
QCD sum rules yield a total decay width of 61.5 ± 7.3 MeV for the [sc][s-bar c-bar] tetraquark that matches Y(4660) data, supporting that interpretation.
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Semileptonic and nonleptonic weak decays of bottom baryons $\Omega^{(*)}_{b}$
QCD sum-rule calculation predicts Ω_b^*→Ω_c and Ω_b→Ω_c^* semileptonic and nonleptonic decay widths, e.g. Γ(Ω_b^*→Ω_c eν)=(1.54+0.29−0.27)×10^-14 GeV.
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Scalar Triple-Heavy Tetraquark States With Quark Content $cc\bar{c}\bar{s}$
QCD sum rule analysis predicts scalar cc̄c̄s tetraquark states with masses near 4.94 to 5.08 GeV, including an ηc-Ds molecule and two diquark-antidiquark compact states.
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Mass spectrum of the hidden-charm hybrid states via the QCD sum rules
Using QCD sum rules with an energy-scale formula carried over from tetraquark analyses, the author predicts hidden-charm hybrid masses between 4.0 and 5.8 GeV across nine J^PC channels.
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Analysis of the $B_{(s)}\rightarrow T(J^P=2^-)$ transition in light cone QCD sum rules
LCSR computation of B(s) -> T(2^-) l+ l- form factors and branching ratios using B-meson DAs up to twist-4, yielding BRs of order 10^-7 to 10^-8.
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A unified study of the \(B_c\) meson: from spectrum and form factors to weak and radiative decays
A unified phenomenological study computes the B_c meson spectrum in a screened potential model and applies the results in QCD sum rules for weak decays after updating heavy-quark masses and refitting normalization.
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Prospective analysis of CKM element $|V_{cd}|$ and $D^+$-meson decay constant from leptonic decays $D^+ \to \ell^+ \nu$
A QCD sum rule calculation with dimension-six condensates gives f_D+ = 203.0 ± 1.5 MeV and, with BESIII data, |Vcd| = 0.227 +0.002 -0.001.
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