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We study 't Hooft's integral equation determining the meson masses M_n in multicolor QCD_2. In this note we concentrate on developing an analytic method, and restrict our attention to the special case of quark masses m_1=m_2=g/\sqrt{\pi}.…

High Energy Physics - Theory · Physics 2015-05-13 V. A. Fateev , S. L. Lukyanov , A. B. Zamolodchikov

In the present work, we use optical theorem to calculate the next-to-leading order corrections to the QCD spectral densities directly in the QCD sum rules for the pseudoscalar and scalar $B_c$ mesons. We take the experimental data as guides…

High Energy Physics - Phenomenology · Physics 2024-08-13 Zhi-Gang Wang

We comment on the Reply of G. Su and M. Suzuki [cond-mat/9808011] to our Comment [cond-mat/9807402] about the papers of G. Su [Phys. Rev. B 54, 8291 (1996)] and G. Su and M. Suzuki [Phys. Rev. B 57, 13367 (1998)]. The algebraic mistake…

Strongly Correlated Electrons · Physics 2007-05-23 A. Avella , F. Mancini , D. Villani

We support the idea that the baryon, B with mass $M_B$, couples to its current with a coupling $\la_{B}^2 \sim 0.71 M_B^6$ from an analysis of magnetic moment sum rules. And we find a sum rule among the experimental magnetic moments which…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jishnu Dey , Mira Dey , Mahendra Sinha Roy

We respond to the comment arXiv:1809.03931 put forward by Li-Han Chen, Zhen Liu, and Jian-Tin Zheng on our work Kiesel, Platt, and Thomale, Phys. Rev. Lett. 110, 126405 (2013). All misunderstandings and misconceptions communicated in the…

Strongly Correlated Electrons · Physics 2018-09-14 Ronny Thomale

The massive Schwinger model may be analysed by a perturbation expansion in the fermion mass. However, the results of this mass perturbation theory are sensible only for sufficiently small fermion mass. By performing a renormal-ordering, we…

High Energy Physics - Theory · Physics 2009-10-31 Christoph Adam

This paper also has excessive overlap with the following papers also written by the authors or their collaborators: gr-qc/0608014, gr-qc/0511095, gr-qc/0505078, gr-qc/0502060, gr-qc/0603027, gr-qc/0606028, gr-qc/0607109, gr-qc/0607110,…

General Relativity and Quantum Cosmology · Physics 2019-10-21 Murat Korunur , Ali Havare , Mustafa Salti

We check quantitatively the validity of some popular phenomenological approaches of QCD in simple models. Dispersion sum rules are considered within the ladder approximation of a field-theoretic model with OPE given by ordinary loop…

High Energy Physics - Phenomenology · Physics 2008-02-03 A. A. Penin , A. A. Pivovarov

We present a detailed analysis of epsilon'/epsilon within the Standard Model, taking into account the strong enhancement through final-state interactions identified in refs. [1] and [2]. The relevant hadronic matrix elements are fixed at…

High Energy Physics - Phenomenology · Physics 2014-11-17 E. Pallante , A. Pich , I. Scimemi

Three different ways of determining the strange quark mass using QCD sum rules are reviewed. First, from a QCD sum rule determination of the up and down quark masses, together with the current algebra ratio $ m_{s}/(m_{u}+m_{d})$. Second…

High Energy Physics - Phenomenology · Physics 2011-02-01 C. A. Dominguez

Using the QCD sum rule method, we investigate the mass splitting for the spin-orbit partner states of the $\Omega(2012)$ baryon assuming that it is a $P$-wave excitation with $J^P=3/2^-$. This study is an extension of the previous work [1]…

High Energy Physics - Phenomenology · Physics 2025-10-03 Niu Su , Hua-Xing Chen , Philipp Gubler , Atsushi Hosaka

We use QCD spectral sum rules (QSSR) and the factorization properties of molecule and four-quark currents to estimate the masses and couplings of the 0+ and 1+ molecules and four-quark at N2LO of PT QCD. We include in the OPE the…

High Energy Physics - Phenomenology · Physics 2018-01-30 R. M Albuquerque , S. Narison , F. Fanomezana , A. Rabemananjara , D. Rabetiarivony , G. Randriamanatrika

In the paper, we analyze the properties of Gross-Llewellyn Smith (GLS) sum rule by using the $\mathcal{O}(\alpha_s^4)$-order QCD corrections with the help of principle of maximum conformality (PMC). By using the PMC single-scale approach,…

High Energy Physics - Phenomenology · Physics 2021-06-23 Xu-Dong Huang , Xing-Gang Wu , Qing Yu , Xu-Chang Zheng , Jun Zeng

We consider the ratios of doubly heavy baryon masses using Double Ratios of Sum Rules (DRSR), which are more accurate than the usual simple ratios used for getting hadron masses. Our results are comparable with the ones from potential…

High Energy Physics - Phenomenology · Physics 2011-02-15 R. M. Albuquerque , S. Narison

Sum rules are elegant formulas that relate entropy functionals to coefficients associated with orthogonal polynomials [Sim11]. In a series of paper (see for example [GNR16], [GNR17], [BSZ18a], [BSZ18b]), interesting connections have been…

Probability · Mathematics 2025-10-20 Fabrice Gamboa , Jan Nagel , Alain Rouault

A new Monte-Carlo based uncertainty analysis is introduced to quantitatively determine the predictive ability of QCD sum rules. A comprehensive analysis of ground state rho-meson and nucleon spectral properties is performed. Many of the…

Nuclear Theory · Physics 2011-05-05 Derek B. Leinweber

We present a generalisation of our previous approach of a renormalon-motivated resummation of the QCD observables. Previously it was applied to the spacelike observables whose perturbation expansion was $D(Q^2) = a(Q^2) + O(a^2)$, where…

High Energy Physics - Phenomenology · Physics 2026-02-25 Cesar Ayala , Gorazd Cvetič , Reinhart Kögerler

We summarize recent results obtained in [1] on the running m_{c,b}(m_{c,b}) in the MS scheme and f_{D_(s), B_(s)} using QCD spectral sum rules (QSSR) known to N2LO PT series, including all dimension-six NP condensate contributions in the…

High Energy Physics - Phenomenology · Physics 2015-06-11 Stephan Narison

We review our estimations on the light scalar $\bar{q}q$, $(\bar{q}q')(\bar{q'}q)$ and $\overline{qq'}qq'$ ($q,q'\equiv u,d,s$) states from relativistic Laplace sum rule (LSR) within stability criteria and including higher order…

High Energy Physics - Phenomenology · Physics 2025-10-14 R. M. Albuquerque , S. Narison , D. Rabetiarivony

The quadratically divergent scalar mass is subtractively renormalized unlike other divergences which are multiplicatively renormalized. We re-examine some technical aspects of the subtractive renormalization, in particular, the mass…

High Energy Physics - Theory · Physics 2011-05-25 Kazuo Fujikawa