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A varying external field approach in QCD sum rules is formulated in a systematic way to treat the weak decay form factors and their $q^2$ dependence in the process of $B \to \rho \ell \bar\nu_\ell$. From the form factor sum rules, we can…

High Energy Physics - Phenomenology · Physics 2009-10-30 Kwei-Chou Yang

QCD sum rules are commonly used to predict the characteristics of ground-state hadrons. We demonstrate that two-point sum rules for the decay constants of charmed ($D^{(*)},D_s^{(*)}$) and bottom ($B^{(*)},B_s^{(*)}$) mesons can also be…

High Energy Physics - Phenomenology · Physics 2015-06-19 P. Gelhausen , A. Khodjamirian , A. A. Pivovarov , D. Rosenthal

We calculate the next-to-leading order corrections to the $SU(2)\otimes SU(2)$ and $SU(3)\otimes SU(3)$ Gell-Mann-Oakes-Renner relations. We use a pseudoscalar correlator calculated from Perturbative QCD up to five loops and use the QCD…

High Energy Physics - Phenomenology · Physics 2024-03-28 Preshin Moodley

The forms of the neutral, non-strange pseudoscalar propagator matrix and mixed axial current correlator, $\lngle0|T(A_\mu^3 A_\nu^8)|0\rangle$, are discussed at next-to-leading (one-loop) order in chiral perturbation theory, and the results…

High Energy Physics - Phenomenology · Physics 2009-10-28 Kim Maltman

We calculated next-to-leading-order (NLO) QCD perturbative contributions to a $J^{PC}=0^{+-}$, $d u\bar d\bar u$ tetraquark (diquark-antidiquark) correlator in the chiral limit of massless $u$ and $d$ quarks. At NLO, there are four quark…

High Energy Physics - Phenomenology · Physics 2023-08-16 K. Ray , D. Harnett , T. G. Steele

We study $B\to \pi\pi$ decay with a modified perturbative QCD approach. The branching ratios and $CP$ violation are calculated with the transverse momenta of partons considered. Sudakov factor associated with each meson is included to…

High Energy Physics - Phenomenology · Physics 2023-01-25 Sheng Lü , Mao-Zhi Yang

In this paper we calculate first order radiative QCD corrections to the decay process $b\to cW^-(\to\ell^-\bar\nu_\ell)$ of a polarized bottom quark. Taking into account both the bottom and charm quark masses, the analytical expressions…

High Energy Physics - Phenomenology · Physics 2022-07-07 Martin Fischer , Stefan Groote

The $O(1/m_Q)$ corrections to masses of excited heavy mesons are studied with sum rules in the heavy quark effective theory. Numerical results for the matrix elements of the heavy quark kinetic energy operator K and chromomagnetic…

High Energy Physics - Phenomenology · Physics 2009-10-30 Yuan-ben Dai , Chao-shang Huang , Ming-qiu Huang

We derive commensurate scale relations which relate perturbatively calculable QCD observables to each other, including the annihilation ratio, the heavy quark potential, tau decay, and radiative corrections to structure function sum rules.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stanley J. Brodsky , Hung Lung Lu

I give a pedagogical introduction to resummation and power corrections, using the thrust variable in electron-positron annihilation as an example, followed by an discussion of issues of predictability in perturbative QCD.

High Energy Physics - Phenomenology · Physics 2007-05-23 George Sterman

We have systematically investigated the semi-inclusive B decays B->MX, which are manifestations of the quark decay b->Mq, within the framework of QCD-improved factorization. These decays are theoretically clean and have distinctive…

High Energy Physics - Phenomenology · Physics 2014-11-17 Hai-Yang Cheng , Amarjit Soni

While first order perturbation theory is routinely used in quantum Monte Carlo (QMC) calculations, higher-order terms present significant numerical challenges. We present a new approach for computing perturbative corrections in projection…

Nuclear Theory · Physics 2022-06-16 Bing-Nan Lu , Ning Li , Serdar Elhatisari , Yuan-Zhuo Ma , Dean Lee , Ulf-G. Meißner

In this mini-review, we show that a lot of theoretical efforts have been made for the theoretical study of two body hadronic $B_{(s)}$ and $B_c$ decays. In addition to many next-to-leading order or even next-to-next-to leading order…

High Energy Physics - Phenomenology · Physics 2012-11-30 Cai-Dian Lu

We compute next-to-leading order QCD corrections to the $1/m_b^2$ terms of the Heavy Quark Expansion for the contribution to inclusive nonleptonic bottom hadron decays induced by the charged-current operators mediating the transitions $b…

High Energy Physics - Phenomenology · Physics 2025-03-25 Thomas Mannel , Daniel Moreno , Alexei A. Pivovarov

Applying the method of light-cone sum rules with photon distribution amplitudes, we compute the subleading-power correction to the radiative leptonic $B \to \gamma \ell \nu$ decay, at next-to-leading order in QCD for the twist-two…

High Energy Physics - Phenomenology · Physics 2018-07-04 Yu-Ming Wang , Yue-Long Shen

We study nonperturbative corrections up to O(1/m_b^3) in the inclusive rare B decay B -> X_s l^+ l^- by performing an operator product expansion. The values of the matrix elements entering at this order are unknown and introduce…

High Energy Physics - Phenomenology · Physics 2011-01-27 Christian W. Bauer , Craig N. Burrell

Recoil corrections, which appear at order $\mathcal{O}(\frac{1}{M})$, turn out to be crucial for the pentaquark molecules with heavy flavor. In the past, such corrections were typically regarded as negligible for the formation of heavy…

High Energy Physics - Phenomenology · Physics 2026-03-24 Xiao Chen , Li Ma

We present progress in the QCD analysis of the Bjorken sum rule at low momentum transfers. We study asymptotic structure of the perturbative QCD expansion at low $Q^2$ scales based on analysis of recent accurate data on the Bjorken sum rule…

High Energy Physics - Phenomenology · Physics 2013-02-19 V. L. Khandramai , O. P. Solovtsova , O. V. Teryaev

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

Recent experimental progress on baryonic rare decays has spurred a deeper investigation on flavor-changing neutral current transitions in the baryon sector. Within the framework of QCD sum rules, we derive a complete set of form factors for…

High Energy Physics - Phenomenology · Physics 2024-12-31 Sheng-Qi Zhang , Cong-Feng Qiao