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Related papers: The SVZ sum rules and the heavy quark limit for $\…

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We use QCD sum rules to study the recently observed meson $Z^+(4430)$, considered as a $D^*D_1$ molecule with $J^{P}=0^{-}$. We consider the contributions of condensates up to dimension eight and work at leading order in $\alpha_s$. We get…

High Energy Physics - Phenomenology · Physics 2008-11-26 Su Houng Lee , Antonio Mihara , Fernando S. Navarra , Marina Nielsen

In this work, we determine up/down-quark mass $m_{q=u/d}$ in the isoscalar scalar channel from both the Shifman-Vainshtein-Zakharov (SVZ) and the Monte-Carlo-based QCD sum rules. The relevant spectral function, including the contributions…

High Energy Physics - Phenomenology · Physics 2021-09-29 Fang-Hui Yin , Wen-Ya Tian , Liang Tang , Zhi-Hui Guo

We estimate the masses of the 1^{--} heavy four-quark and molecule states by combining exponential Laplace (LSR) and finite energy (FESR) sum rules known perturbatively to lowest order (LO) in alpha_s but including non-perturbative terms up…

High Energy Physics - Phenomenology · Physics 2015-06-04 R. M. Albuquerque , F. Fanomezana , S. Narison , A. Rabemananjara

We rewiew and scrutinize the existing mass determinations of the pentaquarks from the exponential Laplace Sum Rules (LSR). We do not find any sum rule window for extracting optimal and reliable results from the LSR, due to the unusual slow…

High Energy Physics - Phenomenology · Physics 2010-05-12 Ricardo D. Matheus , Stephan Narison

We show that the sum rule recently proved by Uraltsev in the heavy quark limit of QCD holds in relativistic quark models \`a la Bakamjian and Thomas, that were already shown to satisfy Isgur-Wise scaling and Bjorken sum rule. This new sum…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Le Yaouanc , L. Oliver , O. Pène , J. -C. Raynal

We propose a phenomenological QCD sum rule with an explicit diquark field to investigate the essential ingredients inside the hadrons. Introducing the mass (m_\phi) and the condensate (\phi^2) for the diquark field as parameters in the…

Nuclear Theory · Physics 2011-09-02 Kyungil Kim , Daisuke Jido , Su Houng Lee

I discuss the standard SVZ-expansion of the QCD two-point correlators in terms of the QCD vacuum condensates and beyond it due to a new unflavoured 1/Q^2-term (tachyonic gluon mass squared \lambda^2) which modelizes the effects of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stephan Narison

A detailed proof of hard scattering factorization is given with the inclusion of heavy quark masses. Although the proof is explicitly given for deep-inelastic scattering, the methods apply more generally The power-suppressed corrections to…

High Energy Physics - Phenomenology · Physics 2015-01-26 J. C. Collins

This talk presents the results of our study of systematic errors of the ground-state parameters obtained by Shifman-Vainshtein-Zakharov (SVZ) sum rules. We use the harmonic-oscillator potential model as an example: in this case we know the…

High Energy Physics - Phenomenology · Physics 2007-12-04 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We use QCD sum rules to study the possible existence of $QQ-\bar{u}\bar{d}$ mesons, assumed to be a state with $J^{P}=1^{+}$. For definiteness, we work with a current with an axial heavy diquark and a scalar light antidiquark, at leading…

High Energy Physics - Phenomenology · Physics 2008-11-26 Fernando S. Navarra , Marina Nielsen , Su Houng Lee

Two new QCD sum rules for nucleons in nuclear matter are obtained from a mixed correlator of spin-1/2 and spin-3/2 interpolating fields. These new sum rules, which are insensitive to the poorly known four-quark condensates, provide…

Nuclear Theory · Physics 2009-10-28 R. J. Furnstahl , Xuemin Jin , Derek B. Leinweber

In this article, we take the tensor currents $\bar{Q}(x)\sigma_{\mu\nu}Q(x)$ to interpolate the $P$-wave spin-singlet heavy quarkonium states $h_Q$, and study the masses and decay constants with the Borel sum rules and moments sum rules.…

High Energy Physics - Phenomenology · Physics 2015-03-20 Zhi-Gang Wang

The method of QCD sum rules is used to calculate the mass of a hypothetical stable dihyperon H with the quantum numbers of two Lambda hyperons, whose existence was predicted by R.L. Jaffe [Phys. Rev. Lett. 31, 195, 617(E) (1977)] in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. A. Larin , V. A. Matveev , A. A. Ovchinnikov , A. A. Pivovarov

We determine the strange quark mass in the framework of finite energy sum rules from the vector current channel. The theoretical contributions are calculated in contour improved perturbation theory and a substantial difference to fixed…

High Energy Physics - Phenomenology · Physics 2007-05-23 Markus Eidemuller , Matthias Jamin , Felix Schwab

In this article, we study the vertices $DDV$ and $D^*DV$ with the light-cone QCD sum rules. The strong coupling constants $g_{DDV}$ and $f_{D^*DV}$ play an important role in understanding the final-state re-scattering effects in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zhi-Gang Wang

The 1/m corrections to heavy baryon masses are calculated from the QCD sum rules within the framework of the heavy quark effective theory. Numerical results for the heavy baryons are obtained. The implications of the results are discussed.

High Energy Physics - Phenomenology · Physics 2015-06-25 Yuan-ben Dai , Chao-shang Huang , Chun Liu , Cai-dian Lü

In this talk, I summarize the recent determinations in Ref.[1] of the QCD condensates and $\alpha_s$ within the SVZ expansion using the ratio of Laplace sum rule (LSR) ${\cal R}_{10}^A(\tau)$ and $\tau$-like moments ${\cal R}_{n,A},\, {\cal…

High Energy Physics - Phenomenology · Physics 2025-02-20 S. Narison , LUPM , iHEPMAD

With the use of the world-line formalism, the heavy-quark condensate in the SU(N)-QCD is evaluated for the cases when the next-to-1/r term in the quark-antiquark potential at short distances is either quadratic, or linear. In the former…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dmitri Antonov

The accurate calculation of weak heavy-to-light form factors is crucial for the determination of CKM matrix elements from experimental data on B decays. In SCET, the soft-collinear effective theory, these form factors can, in the heavy…

High Energy Physics - Phenomenology · Physics 2007-05-23 Patricia Ball

We introduce a new sum-rule for large-$N_c$ QCD which relates the density of heavy quarkonium states, the state-averaged square of the wavefunction at the origin, and the heavy quark current-current correlator. Focusing on the region of…

High Energy Physics - Phenomenology · Physics 2009-09-11 Dean Lee , Howard Georgi