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QCD Sum Rules, a Modern Perspective

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arxiv hep-ph/0010175 v1 pith:VKWTKQ4Y submitted 2000-10-16 hep-ph

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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 48 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 197 citations worldwide. Full citation record

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  4. $D\to P \ell^+\ell^-$ decays assisted by QCD light-cone sum rules

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    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.

  5. An improved moment QCD sum rule

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  6. Hadronic photon correction to $\gamma^{\ast} \gamma \to f_{2}(1270)$ at next-to-leading order

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    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.

  7. Beyond Borel Windows: A Systematic Optimization Framework for QCD Sum Rules

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  8. 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

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  9. Positivity properties of observables in planar maximally supersymmetric Yang-Mills theory

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  10. Decay constants of $B_c$-mesons with vector and tensor currents

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    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.

  11. A Phenomenological Model of Mesons for Charged Current Weak Decays

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  14. Weak Scale Triggers in the SMEFT

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  18. Precision calculations of $B\to K^*$ form factors from SCET sum rules beyond leading-power contributions

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    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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  34. Analysis of the hidden-charm pentaquark candidates in the $J/\psi \Xi^*$ mass spectrum via the QCD sum rules

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    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.

  35. $|V_{cb}|$ determinations from $\bar{B} \to D^{(*)} \ell \bar\nu$ decays within the SM and beyond

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    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.

  36. QCD Sum Rule Analysis of a Compact $D^{+}D^{-}K^{+}$-Like Hidden-Charm Hexaquark with $J^{P}=0^{-}$

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    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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    hep-ph 2026-03 unverdicted novelty 4.0 of 10

    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.

  38. Systematic study of the strong decays of the $P_c$ states and their possible isospin cousins via the QCD sum rules

    hep-ph 2026-01 unverdicted novelty 4.0 of 10

    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.

  39. Analysis of the semileptonic decays of $\Xi_{cc}$ and $\Omega_{cc}$ baryons in QCD sum rules

    hep-ph 2026-01 conditional novelty 4.0 of 10

    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.

  40. Mass Spectra of $\Lambda_Q\bar{\Sigma}_Q$ Hexaquark States in QCD Sum Rules

    hep-ph 2025-12 unverdicted novelty 4.0 of 10

    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.

  41. Analysis of the hidden-charm pentaquark candidates in the $J/\psi \Xi$ mass spectrum via the QCD sum rules

    hep-ph 2025-11 unverdicted novelty 4.0 of 10

    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...

  42. Analysis of the strong decays of the $Y(4660)$ in tetraquark scenario via the QCD sum rules

    hep-ph 2025-11 unverdicted novelty 4.0 of 10

    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.

  43. Semileptonic and nonleptonic weak decays of bottom baryons $\Omega^{(*)}_{b}$

    hep-ph 2025-10 conditional novelty 4.0 of 10

    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.

  44. Scalar Triple-Heavy Tetraquark States With Quark Content $cc\bar{c}\bar{s}$

    hep-ph 2025-06 conditional novelty 4.0 of 10

    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.

  45. Mass spectrum of the hidden-charm hybrid states via the QCD sum rules

    hep-ph 2024-12 conditional novelty 4.0 of 10

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  46. Analysis of the $B_{(s)}\rightarrow T(J^P=2^-)$ transition in light cone QCD sum rules

    hep-ph 2024-11 conditional novelty 4.0 of 10

    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.

  47. A unified study of the \(B_c\) meson: from spectrum and form factors to weak and radiative decays

    hep-ph 2026-05 unverdicted novelty 3.0 of 10

    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.

  48. Prospective analysis of CKM element $|V_{cd}|$ and $D^+$-meson decay constant from leptonic decays $D^+ \to \ell^+ \nu$

    hep-ph 2024-11 conditional novelty 3.0 of 10

    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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