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A new method is suggested to calculate the $B\to \pi\pi$ hadronic matrix elements from QCD light-cone sum rules. To leading order in $\alpha_s$ and $1/m_b$, the sum rule reproduces a factorizable matrix element, in accordance with the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Alexander Khodjamirian

The problem of hadronic input in charmless nonleptonic B decays is discussed. QCD sum rules and their light-cone versions (LCSR) provide an important part of this input, such as the decay constant $f_B$ and $B\to \pi$ form factor. Employing…

High Energy Physics - Phenomenology · Physics 2011-03-23 Alexander Khodjamirian

The $B\to \pi\pi$ hadronic matrix element of the chromomagnetic dipole operator $O_{8g}$ (gluonic penguin) is calculated using the QCD light-cone sum rule approach. The resulting sum rule for $<\pi\pi |O_{8g}|B>$ contains, in addition to…

High Energy Physics - Phenomenology · Physics 2011-01-27 Alexander Khodjamirian , Thomas Mannel , Piotr Urban

We describe the calculation of the $B\rightarrow \pi$ hadronic matrix element from operator product expansion near the light-cone in QCD. In the resulting sum rules, the form factors $f^+$ and $F_0$ determining this matrix element are…

High Energy Physics - Phenomenology · Physics 2016-09-06 A. Khodjamirian , R. Rückl

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 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

Employing the QCD light-cone sum rule approach we calculate the B -> pi pi hadronic matrix element of the current-current operator with c quarks in the penguin topology (``charming penguin''). The dominant contribution to the sum rule is…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Khodjamirian , Th. Mannel , B. Melic

In the heavy-quark limit, the hadronic matrix elements entering nonleptonic $B$-meson decays into two light mesons can be calculated from first principles including ``nonfactorizable'' strong-interaction corrections. The $B\to\pi K,\pi\pi$…

High Energy Physics - Phenomenology · Physics 2010-05-28 M. Beneke , G. Buchalla , M. Neubert , C. T. Sachrajda

We reconsider and update the QCD light-cone sum rules for $B\to \pi$ form factors. The gluon radiative corrections to the twist-2 and twist-3 terms in the correlation functions are calculated. The $\bar{MS}$ $b$-quark mass is employed,…

High Energy Physics - Phenomenology · Physics 2009-01-06 G. Duplancic , A. Khodjamirian , Th. Mannel , B. Melic , N. Offen

We compute branching ratios of $B\to K\pi$ decays in the framework of perturbative QCD factorization theorem. Decay amplitudes are classified into the topologies of tree, penguin and annihilation, all of which contain both factorizable and…

High Energy Physics - Phenomenology · Physics 2009-07-09 Y. -Y. Keum , H. -n. Li , A. I. Sanda

The form factors of the semileptonic $B\to \pi\pi\ell\bar\nu$ decay are calculated from QCD light-cone sum rules with the distribution amplitudes of dipion states. This method is valid in the kinematical region, where the hadronic dipion…

High Energy Physics - Phenomenology · Physics 2016-04-20 Christian Hambrock , Alexander Khodjamirian

We study $B\to\pi\pi$ form factors using QCD light-cone sum rules with $B$-meson distribution amplitudes. These form factors describe the semileptonic decay $B\to \pi\pi \ell\bar{\nu}_{\ell}$, and constitute an essential input in $B\to…

High Energy Physics - Phenomenology · Physics 2017-06-09 Shan Cheng , Alexander Khodjamirian , Javier Virto

The $B_{l4}$ decays offer an independent method for determining the Cabibbo-Kobayashi-Maskawa matrix element $\vert V_{ub} \vert$, with a QCD analysis of the underlying $B \to \pi\pi$ form factors serving as a crucial component. We present…

High Energy Physics - Phenomenology · Physics 2025-11-13 Shan Cheng

In this article, we calculate the contribution from the nonfactorizable soft hadronic matrix element to the decay $B^0\to \chi_{c1} \pi^0$ with the light-cone QCD sum rules. The numerical results show that its contribution is rather large…

High Energy Physics - Phenomenology · Physics 2015-05-13 Zhi-Gang Wang

We compute perturbative corrections to $B \to \pi$ form factors from QCD light-cone sum rules with $B$-meson distribution amplitudes. Applying the method of regions we demonstrate factorization of the vacuum-to-$B$-meson correlation…

High Energy Physics - Phenomenology · Physics 2015-12-09 Yu-Ming Wang , Yue-Long Shen

We derive a set of light-cone sum rules relating the hadronic form factors relevant for $B\to K\pi\ell^+\ell^-$ decays to the $B$-meson light-cone distribution amplitudes (LCDAs). We obtain the sum rule relations for all $B\to K\pi$ form…

High Energy Physics - Phenomenology · Physics 2020-02-26 Sébastien Descotes-Genon , Alexander Khodjamirian , Javier Virto

We calculate the form factors of $B\to\pi$ and $B\to\rho$ heavy to light transition matrix elements by using the factorization formalism of perturbative QCD. We obtain them at $q^2=0$ and show their dependences on the parameter $\epsilon$…

High Energy Physics - Phenomenology · Physics 2011-07-19 Dae Sung Hwang , Bum-Hoon Lee

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

I calculate the form factors describing semileptonic and penguin-induced decays of B mesons into light pseudoscalar mesons. The form factors are calculated from QCD sum rules on the light-cone including contributions up to twist 4,…

High Energy Physics - Phenomenology · Physics 2009-10-31 Patricia Ball

We study factorizable contributions to two-body nonleptonic decays of $B$ mesons using the light-cone sum rule method. By constructing three-point correlation functions and incorporating light-cone distribution amplitudes, we compute the…

High Energy Physics - Phenomenology · Physics 2025-12-10 Yuanyuan Ma , Yan-jun Sun
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