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Related papers: New extended Crewther-type relation

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We present an improved calculation of the $B\to K$ transition form factor with chiral current in the QCD light-cone sum rule (LCSR) approach. Under the present approach, the most uncertain twist-3 contribution is eliminated. And the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Xing-Gang Wu , Tao Huang , Zhen-Yun Fang

An "ab initio" calculation of the Carbon-12 elastic form factor, and sum rules of longitudinal and transverse response functions measured in inclusive (e,e') scattering, is reported, based on realistic nuclear potentials and electromagnetic…

Nuclear Theory · Physics 2015-06-16 A. Lovato , S. Gandolfi , Ralph Butler , J. Carlson , Ewing Lusk , Steven C. Pieper , R. Schiavilla

The fixed-mass sum rules for the deuteron target have been derived by using the connected matrix element of the current anti-commutation relation on the null-plane. From these sum rules we obtain the relation between the pseudo-scalar meson…

High Energy Physics - Phenomenology · Physics 2010-02-02 Susumu Koretune

We discuss the QCD sum rule calculation of the heavy-quark effective theory parameters, $\lambda_E$ and $\lambda_H$, which correspond to matrix elements representing quark-gluon three-body components in the $B$-meson wavefunction. We derive…

High Energy Physics - Phenomenology · Physics 2013-12-16 Tetsuo Nishikawa , Kazuhiro Tanaka

Approximate knowledge of the renormalon structure of the Bjorken polarised sum rule (BSR) ${\overline \Gamma}_1^{{\rm p-n}}(Q^2)$ leads to the corresponding BSR characteristic function that allows us to evaluate the leading-twist part of…

High Energy Physics - Phenomenology · Physics 2024-08-29 César Ayala , Camilo Castro-Arriaza , Gorazd Cvetič

Open charm mesons (pseudo-scalar and scalar as well as axial-vector and vector) propagating or resting in nuclear matter display an enhanced sensitivity to the chiral condensate. This offers new prospects to seek for signals of chiral…

Nuclear Theory · Physics 2014-11-20 T. Hilger , R. Schulze , B. Kampfer

In this work, we studied the Borel masses relation used in QCDSR calculations. These masses are the parameters of the Borel transform used when the three point function is calculated. We analised an usual and a more general linear…

High Energy Physics - Phenomenology · Physics 2011-06-29 B. Osório Rodrigues , M. E. Bracco , M. Chiapparini

A sum rule is an identity connecting the entropy of a measure with coefficients involved in the construction of its orthogonal polynomials (Jacobi coefficients). Our paper is an extension of Gamboa, Nagel and Rouault (2016), where we have…

Probability · Mathematics 2020-04-29 Fabrice Gamboa , Jan Nagel , Alain Rouault

We associate a combinatorial object to sequences of point blow-ups over perfect fields, the weighted directed graph, and another one to the composition of all blow-ups, which we call associated sequential morphisms, the $d-$ary intersection…

Algebraic Geometry · Mathematics 2025-09-30 Daniel Camazón , Santiago Encinas

We present a quantitative analysis of chiral symmetry breaking in two-flavour continuum QCD in the quenched limit. The theory is set-up at perturbative momenta, where asymptotic freedom leads to precise results. The evolution of QCD towards…

High Energy Physics - Phenomenology · Physics 2015-04-01 Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

The form factors and the coupling constant of the $B_s^* B K$ vertex are calculated using the QCD sum rules method. Three point correlation functions are computed considering both $K$ and $B$ mesons off-shell and, after an extrapolation of…

High Energy Physics - Phenomenology · Physics 2014-12-02 A. Cerqueira , B. Osório Rodrigues , M. E. Bracco

Borel transformed QCD sum rules conventionally use a real valued parameter (the Borel mass) for specifying the exponential weight over which hadronic spectral functions are averaged. In this paper, it is shown that the Borel mass can be…

High Energy Physics - Phenomenology · Physics 2014-07-09 Ken-Ji Araki , Keisuke Ohtani , Philipp Gubler , Makoto Oka

Estimates of higher-order contributions for perturbative series in QCD, in view of their asymptotic nature, are delicate, though indispensable for a reliable error assessment in phenomenological applications. In this work, the Adler…

High Energy Physics - Phenomenology · Physics 2021-09-15 Matthias Jamin

The difference between fixed-order (FO) and contour-improved (CI) formulations of QCD perturbation theory limits the precision of the strong coupling determined from the hadronic decay of the $\tau$ lepton. Recently, several attempts to…

High Energy Physics - Phenomenology · Physics 2023-12-13 Irinel Caprini

Recently, P. M. Brooks and C.J. Maxwell [Phys. Rev. D{\bf 74} 065012 (2006)] claimed that the Landau pole of the one-loop coupling at $Q^2=\Lambda^2$ is absent from the leading one-chain term in a skeleton expansion of the Euclidean Adler…

High Energy Physics - Phenomenology · Physics 2008-11-26 Irinel Caprini , Jan Fischer

We derive constraints on the asymmetry a1 of the momentum fractions carried by quark and antiquark in K and K* mesons in leading twist. These constraints follow from exact operator identities and relate a1 to SU(3) breaking…

High Energy Physics - Phenomenology · Physics 2009-11-11 Patricia Ball , Roman Zwicky

A new analysis of baryon sum rules is done with modern values of parameters and known perturbative corrections. The restriction for gluon and quark condensates and the new value of nucleon coupling constant are found.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Oganesian

We examine Crewther's relation at high loop order in perturbative QCD and demonstrate how the relation is accommodated in gauge-parameter dependent schemes where the running of the gauge parameter has to be explicitly considered. Motivated…

High Energy Physics - Phenomenology · Physics 2023-10-25 R. H. Mason , J. A. Gracey

In this paper we define several notions of term expansion, used to define terms with less sharing, but with the same computational properties of terms typable in an intersection type system. Expansion relates terms typed by associative,…

Logic in Computer Science · Computer Science 2022-05-04 Sandra Alves , Mário Florido

The sum rule for charmless inclusive semileptonic B-meson decays allows a theoretically clean and experimentally efficient determination of |V_{ub}|. The leading twist contribution to the sum rule is known in QCD. We compute higher twist…

High Energy Physics - Phenomenology · Physics 2014-11-17 Changhao Jin