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Using the "Liouville space'' (the space of operators) of the massive Ising model of quantum field theory, there is a natural definition of form factors in any mixed state. These generalize the usual form factors, and are building blocks for…

Strongly Correlated Electrons · Physics 2015-07-28 Yixiong Chen , Benjamin Doyon

A visible improvement of the QCD sum-rule framework, achieved only recently by a slightly more sophisticated consideration of the hadron excitations and continuum, is applied to the extraction of the decay constants of heavy-light…

High Energy Physics - Phenomenology · Physics 2012-06-05 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

Two new sets of QCD sum rules for the nucleon axial coupling constants are derived using the external-field technique and generalized interpolating fields. An in-depth study of the predicative ability of these sum rules is carried out using…

Nuclear Theory · Physics 2009-10-30 Frank X. Lee , Derek B. Leinweber , Xuemin Jin

We provide explicit expressions for boundary form factors in the boundary scaling Lee-Yang model for operators with the mildest ultraviolet behavior for all integrable boundary conditions. The form factors of the boundary stress tensor take…

High Energy Physics - Theory · Physics 2015-06-19 L. Hollo , Z. B. Laczko , Z. Bajnok

The shape of the vector and scalar K_{l3} form factors is investigated by exploiting analyticity and unitarity in a model-independent formalism. The method uses as input dispersion relations for certain correlators computed in perturbative…

High Energy Physics - Phenomenology · Physics 2010-12-09 Gauhar Abbas , B. Ananthanarayan , Irinel Caprini , I. Sentitemsu Imsong

We analyse the forward error in the floating point summation of real numbers, from algorithms that do not require recourse to higher precision or better hardware. We derive informative explicit expressions, and new deterministic and…

Numerical Analysis · Mathematics 2021-07-06 Eric Hallman , Ilse C. F. Ipsen

We present a method for parametrizing heavy meson semileptonic form factors using dispersion relations, and from it produce a two-parameter description of the B -> B elastic form factor. We use heavy quark symmetry to relate this function…

High Energy Physics - Phenomenology · Physics 2010-11-01 C. Glenn Boyd , Benjamin Grinstein , Richard F. Lebed

The $D^*D\pi$ form factor is evaluated at low and moderate $Q^2$ in a hadronic loop model, for off-shell $D$ mesons. The results contain arbitrary constants, which are fixed so as to match previous QCD sum rule calculations valid at higher…

High Energy Physics - Phenomenology · Physics 2015-06-25 F. O. Durães , F. S. Navarra , M. Nielsen , M. R. Robilotta

We re-examine the use of sum rules in the extraction of light quark masses and discuss a number of potential problems with existing analyses. The most important issue is that of the overall normalization of the hadronic spectral functions…

High Energy Physics - Phenomenology · Physics 2009-09-25 Tanmoy Bhattacharya , Rajan Gupta , Kim Maltman

We present a model-independent global analysis of hadronic form factors for the semileptonic decays $b\rightarrow c\ell\nu$ that exploits lattice-QCD data, dispersion relations, and heavy-quark symmetries. The analysis yields predictions…

High Energy Physics - Phenomenology · Physics 2019-11-20 Thomas D. Cohen , Henry Lamm , Richard F. Lebed

We employ QCD sum rules to calculate the $J/\psi DD^*$ form factors and coupling constant by studying the three-point $J/\psi D^*D$ correlation function. We find that the momentum dependence of the form factor depends on the off-shell…

High Energy Physics - Phenomenology · Physics 2011-04-11 R. Rodrigues da Silva , R. D. Matheus , F. S. Navarra , M. Nielsen

We investigate the hyperon semileptonic decays within the framework of QCD sum rules. The flavor $ SU(3) $ symmetry breaking effects are analyzed via the relevant form factors and corresponding branching fractions. Employing the $ z…

High Energy Physics - Phenomenology · Physics 2024-06-21 Sheng-Qi Zhang , Xuan-Heng Zhang , Cong-Feng Qiao

We give a unified treatment of dispersive sum rules for four-point correlators in conformal field theory. We call a sum rule dispersive if it has double zeros at all double-twist operators above a fixed twist gap. Dispersive sum rules have…

High Energy Physics - Theory · Physics 2023-01-11 Simon Caron-Huot , Dalimil Mazac , Leonardo Rastelli , David Simmons-Duffin

A comprehensive study is made for the magnetic moments of octet baryons in the method of QCD sum rules. A complete set of QCD sum rules is derived using the external field method and generalized interpolating fields. For each member, three…

High Energy Physics - Phenomenology · Physics 2008-11-26 Lai Wang , Frank X. Lee

Partial sum rules are widely used in physics to separate low- and high-energy degrees of freedom of complex dynamical systems. Their application, though, is challenged in practice by the always finite spectrometer bandwidth and is often…

Other Condensed Matter · Physics 2009-11-13 A. B. Kuzmenko , D. van der Marel , F. Carbone , F. Marsiglio

Tree ensembles are non-parametric methods widely recognized for their accuracy and ability to capture complex interactions. While these models excel at prediction, they are difficult to interpret and may fail to uncover useful relationships…

Machine Learning · Statistics 2026-04-01 Brian Liu , Rahul Mazumder , Peter Radchenko

We discuss the extraction of the ground state $\langle \mathrm{K} ({\bf p})|V_\mu(0)|\mathrm{B} ({\bf 0})\rangle$ matrix elements from Euclidean lattice correlation functions. The emphasis is on the elimination of excited state…

High Energy Physics - Lattice · Physics 2019-10-23 Felix Bahr , Debasish Banerjee , Fabio Bernardoni , Mateusz Koren , Hubert Simma , Rainer Sommer

New QCD sum rules for the nucleon axial-vector current coupling constants are derived. One set is derived from a generalized correlator of spin-1/2 interpolating fields, and the other with a mixed correlator of spin-1/2 and spin-3/2 fields.…

Nuclear Theory · Physics 2007-05-23 Frank X. Lee , Derek B. Leinweber , Xuemin Jin

We provide a set of sum rules relating CP-averaged branching ratios and CP-asymmetries of the $B \to \pi K$ modes. They prove to be useful as a mechanism to `test' experimental data given our expectations of the size of isospin breaking. A…

High Energy Physics - Phenomenology · Physics 2014-11-17 Joaquim Matias

Using three point QCD sum rules method, the form factors relevant to the semileptonic $B_{s}\to D_{sJ}(2460)\ell\nu$ decay are calculated. The $q^2$ dependencies of these form factors are evaluated. The dependence of the asymmetry parameter…

High Energy Physics - Phenomenology · Physics 2008-01-08 T. M. Aliev , K. Azizi , A. Ozpineci
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