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Perturbation expansions appear to be divergent series in many physically interesting situations, including in quantum field theories like quantum electrodynamics (QED) and quantum chromodynamics (QCD), where the perturbative coefficients…

High Energy Physics - Phenomenology · Physics 2018-01-26 Irinel Caprini , Jan Fischer , Gauhar Abbas , B. Ananthanarayan

Within the framework of perturbative QCD approach, we study the charmless two-body decays $B_s \to a_1(1260)(b_1(1235))P(V)$ ($P, V$ represent the light pseudo-scalar and vector mesons, respectively.). Using the decays constants and the…

High Energy Physics - Phenomenology · Physics 2015-06-04 Zhi-Qing Zhang

QCD sum rules for the nucleon are considered in complex q^2 plane with inclusion of the radiative corrections of the order alpha_s. It is shown that the radiative corrections affect mainly the residue lambda^2 of the nucleon pole. Their…

High Energy Physics - Phenomenology · Physics 2009-11-11 V. A. Sadovnikova , E. G. Drukarev , M. G. Ryskin

The QCD up- and down-quark masses are determined from an optimized QCD Finite Energy Sum Rule (FESR) involving the correlator of axial-vector current divergences. In the QCD sector this correlator is known to five loop order in perturbative…

High Energy Physics - Phenomenology · Physics 2019-02-20 C. A. Dominguez , A. Mes , K. Schilcher

We study the exotic $\Delta^{0}\Delta^{0}$ dibaryon state with quantum numbers $J^{P} = 2^{+}$ within the framework of QCD sum rules. A tensor interpolating current is constructed to determine the mass and residue of this state, including…

High Energy Physics - Phenomenology · Physics 2025-10-23 M. Ahmadi , H. Mohseni , K. Azizi

We prove that Pade approximants yield increasingly accurate predictions of higher-order coefficients in QCD perturbation series whose high-order behaviour is governed by a renormalon. We also prove that this convergence is accelerated if…

High Energy Physics - Phenomenology · Physics 2009-09-11 John Ellis , Einan Gardi , Marek Karliner , Mark A. Samuel

We present a sum-rule extraction of the decay constants of the charmed mesons D and D_s from the two-point correlator of pseudoscalar currents. First, we compare the perturbative expansion for the correlator and the decay constant performed…

High Energy Physics - Phenomenology · Physics 2015-03-18 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We present a sum-rule calculation of the decay constants of the charmed vector mesons $D^*$ and $D^*_s$ from the two-point correlator of vector currents. First, we show that the perturbative expansion in terms of the pole mass exhibits no…

High Energy Physics - Phenomenology · Physics 2014-06-16 Wolfgang Lucha , Dmitri Melikhov , Silvano Simula

We use the QCD sum rules to study possible $B_c$-like molecular states. We consider isoscalar $J^P = 0^+$ and $J^P = 1^+ D^{(\ast)}B^{(\ast)}$ molecular currents. We consider the contributions of condensates up to dimension eight and we…

High Energy Physics - Phenomenology · Physics 2012-11-22 Raphael M. Albuquerque , Xiang Liu , Marina Nielsen

We present a comprehensive analysis of the bottom-charmed ($B_c$) meson spectrum within the inverse matrix QCD sum rules formalism. In this framework, conventional QCD sum rules are recast as an inverse problem, allowing for the direct…

High Energy Physics - Phenomenology · Physics 2026-02-27 Halil Mutuk , Duygu Yıldırım

We calculate the deuteron charge, electric quadrupole, and magnetic form factors up to next-to-next-to-leading order in chiral effective field theory, treating subleading corrections, especially that of chiral nuclear forces, in…

Nuclear Theory · Physics 2022-07-29 Wenchao Shi , Rui Peng , Tai-Xing Liu , Songlin Lyu , Bingwei Long

We review QCD sum rule applications to hadronic matrix elements of exclusive $B$ and $D$ decays. Results are presented for the form factors $f^+$ and $F_0$ of $B \rightarrow \pi$ and $D\rightarrow \pi$ transitions. The predictions are used…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Khodjamirian , R. Rückl

The $B^*B\pi$ and $D^*D\pi$ couplings have previously been derived from a QCD light-cone sum rule in leading order. Here, we describe the calculation of the $O(\alpha_s)$ correction to the twist 2 term of this sum rule. The result is used…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Khodjamirian , R. Rückl , S. Weinzierl , O. Yakovlev

A method, known as ``minimal renormalon subtraction'' [Phys. Rev. D 97 (2018) 034503, JHEP 2017 (2017) 62], relates the factorial growth of a perturbative series (in QCD) to the power~$p$ of a power correction $\Lambda^p/Q^p$. ($\Lambda$ is…

High Energy Physics - Phenomenology · Physics 2024-01-17 Andreas S. Kronfeld

Using the QCD factorization approach, we reexamine the two-body hadronic charmless $B$-meson decays to final states involving a pseudoscalar~($P$) and a vector~($V$) meson, with inclusion of the penguin contractions of spectator-scattering…

High Energy Physics - Phenomenology · Physics 2008-11-26 Xinqiang Li , Yadong Yang

We use QCD sum rules to calculate the hadronic matrix elements governing the rare decays $B \to K \ell^+ \ell^-$ and $B \to K^* \ell^+ \ell^-$ induced by the flavour changing neutral current $b \to s$ transition. We also study relations…

High Energy Physics - Phenomenology · Physics 2014-11-17 P. Colangelo , F. De Fazio , P. Santorelli , E. Scrimieri

Using special linear combinations of finite energy sum rules which minimize the contribution of the unknown continuum spectral function, we compute the decay constants of the pseudoscalar mesons B and B_s. In the computation, we employ the…

High Energy Physics - Phenomenology · Physics 2011-01-27 J. Bordes , J. Peñarrocha , K. Schilcher

We present new compact integrated expressions of QCD spectral functions of heavy-light molecules and four-quark $XYZ$-like states at lowest order (LO) of perturbative (PT) QCD and up to $d=8$ condensates of the Operator Product Expansion…

High Energy Physics - Phenomenology · Physics 2017-02-01 R. Albuquerque , S. Narison , F. Fanomezana , A. Rabemananjara , D. Rabetiarivony , G. Randriamanatrika

We show that the QCD factorization approach for $B$-meson decays to charmless hadronic two-body final states can be extended to include electromagnetic corrections. The presence of electrically charged final-state particles complicates the…

High Energy Physics - Phenomenology · Physics 2020-12-02 Martin Beneke , Philipp Böer , Jan-Niklas Toelstede , K. Keri Vos

In this talk we discuss results of a new extraction of the MS-bar charm quark mass using relativistic QCD sum rules at O(as**3) based on moments of the vector and the pseudoscalar current correlators and using the available experimental…

High Energy Physics - Phenomenology · Physics 2014-11-21 Bahman Dehnadi , Andre H. Hoang , Vicent Mateu