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In these lectures, I present several important applications of QCD sum rules to the decay processes involving heavy-flavour hadrons. The first lecture is introductory. As a study case, the sum rules for decay constants of the heavy-light…

High Energy Physics - Phenomenology · Physics 2013-12-24 Alexander Khodjamirian

The semileptonic decay B -> pi l nu is one of the most important reactions for the determination of the CKM matrix element |V_{ub}|. However, in order to extract |V_{ub}| from data one needs an accurate theoretical calculation of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stefan Weinzierl , Oleg Yakovlev

We discuss the physical nature of quasi-PDFs, especially the reasons for the strong nonperturbative evolution pattern which they reveal in actual lattice gauge calculations. We argue that quasi-PDFs may be treated as hybrids of PDFs and the…

High Energy Physics - Phenomenology · Physics 2017-11-17 Anatoly Radyushkin

The $b \to c$ semileptonic sum rules provide relations between the decay rates of $B \to D^{(*)} \tau\bar\nu$ and $\Lambda_b \to \Lambda_c \tau\bar\nu$. Starting from the heavy quark and zero-recoil limits, we revisit the derivation of the…

High Energy Physics - Phenomenology · Physics 2026-01-16 Motoi Endo , Syuhei Iguro , Satoshi Mishima , Ryoutaro Watanabe

The pseudo- and the quasi-PDFs defined through space-like separated bilocal operators allow direct access to the parton distribution functions (PDFs) from first principles within lattice gauge theory. This formalism, however, leaves the…

High Energy Physics - Phenomenology · Physics 2023-05-04 Giovanni Antonio Chirilli

Applying the vacuum-to-$B$-meson correlation functions with an interpolating current for the light vector meson we construct the light-cone sum rules (LCSR) for the "effective" form factors $\xi_{\parallel}(n \cdot p)$, $\xi_{\perp}(n \cdot…

High Energy Physics - Phenomenology · Physics 2020-05-06 Jing Gao , Cai-Dian Lü , Yue-Long Shen , Yu-Ming Wang , Yan-Bing Wei

Heavy-to-light weak form factor is calculated using the light-cone sum rule (LCSR)in the framework of soft-collinear effective theory (SCET). There are spin-symmetric and spin-nonsymmetric contributions. Leading order spin-symmetric…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jong-Phil Lee

We present a new calculation of the semileptonic tree-level and flavor-changing neutral current form factors describing $B$-meson transitions to tensor mesons $T=D_2^*,K_2^*,a_2,f_2$ ($J^{P}=2^{+}$). We employ the QCD Light-Cone Sum Rules…

High Energy Physics - Phenomenology · Physics 2019-11-20 T. M. Aliev , H. Dag , A. Kokulu , A. Ozpineci

The form factors relevant to $B_{q}\to D^{\ast}_{q}(J^{P}=1^{-}) ell\nu$ $(q=s, d, u)$ decays are calculated in the framework of the three point QCD sum rules approach. The heavy quark effective theory prediction of the form factors as well…

High Energy Physics - Phenomenology · Physics 2009-01-09 K. Azizi , M. Bayar

We investigate the twist three distribution function $e(x)$ in light-front Hamiltonian perturbation theory. In light-front gauge, by eliminating the constrained field, we find a mass term, an intrinsic transverse momentum dependent term and…

High Energy Physics - Phenomenology · Physics 2014-11-20 Asmita Mukherjee

A description of the generalized Gerasimov-Drell-Hearn sum rules for proton and neutron is suggested, using their relation to the Bjorken sum rule. The results support an earlier conjecture, that the structure function g_T features a smooth…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jacques Soffer , Oleg V. Teryaev

We test stability against probabilistic evolution of sum rules for transverse-momentum-dependent distribution and fragmentation functions. We find that preservation of the Burkardt sum rule for Sivers distribution functions is similar to…

High Energy Physics - Phenomenology · Physics 2014-10-21 Philip G. Ratcliffe , Oleg V. Teryaev

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

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

All transitions among the heavy spin--3/2 sextet baryons with participation of the light vector mesons $(B_Q^* B_Q V)$ are investigated in the framework of the light cone sum rules. These vertices are described by four coupling constants.…

High Energy Physics - Phenomenology · Physics 2015-05-28 T. M. Aliev , K. Azizi , M. Savci

The nonperturbative $Q^2$- dependence of the sum rules for the structure functions of polarized $e(\mu)N$ scattering is discussed. The determination of twist-4 corrections to the structure functions at high $Q^2$ by QCD sum rules is…

High Energy Physics - Phenomenology · Physics 2011-04-15 B. L. Ioffe

We underline a problem existing in the heavy quark limit of QCD concerning the rates of semileptonic B decays into P-wave $D_J(j)$ mesons, where $j = {1 \over 2}$ (wide states) or $j = {3 \over 2}$ (narrow states). The leading order sum…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Le Yaouanc , L. Oliver , O. Pene , J. -C. Raynal , V. Morenas

In this article, we calculate the $B\to \pi$ transition form factor $f^{+}_{B\pi}(q^2)$ by including perturbative $O(\alpha_s)$ corrections to the twist-2 terms with chiral current in the light-cone QCD sum rule approach. The corrections to…

High Energy Physics - Phenomenology · Physics 2009-11-07 Zhi-Gang Wang , Ming-Zhen Zhou , Tao Huang

We construct the quark-antiquark chiral odd distribution amplitudes including twist-four mass contributions for tensor mesons. We also give quark-antiquark-gluon distribution amplitudes, where we calculate the input parameters with QCD sum…

High Energy Physics - Phenomenology · Physics 2018-07-11 Maximilian Emmerich , Matthias Strohmaier , Andreas Schäfer

We present a controlled $x$-resolved numerical diagnosis of target-mass corrections (TMC) in the operator-product-expansion sum-rule approach to inelastic quarkonium--nucleon interactions, using global-fit gluon PDFs ABMP16, MSHT20, CT18…

High Energy Physics - Phenomenology · Physics 2026-05-27 Arkadiy I. Syamtomov
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