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Related papers: Resummation of rapidity logarithms in $B$ meson wa…

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Transverse-momentum dependent (TMD) hadronic wave functions develop light-cone divergences under QCD corrections, which are commonly regularized by the rapidity $\zeta$ of gauge vector defining the non-light-like Wilson lines. The yielding…

High Energy Physics - Phenomenology · Physics 2015-06-22 Yue-Long Shen , Yu-Ming Wang

We study the asymptotic behavior of the $B$ meson wave function in the framework of $k_T$ factorization theorem. We first construct a definition of the $k_T$-dependent $B$ meson wave function, which is free of light-cone divergences.…

High Energy Physics - Phenomenology · Physics 2009-11-10 Hsiang-nan Li , Huei-Shih Liao

We argue that double logarithmic corrections $\alpha_s\ln^2 x$ need to be resumed in perturbative QCD factorization theorem for exclusive $B$ meson decays, when the end-point region with a momentum fraction $x\to 0$ is important. These…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hsiang-nan Li

We show that the resummation technique developed recently for heavy-light systems and the conventional approach based on the factorization of Wilson loops are equivalent. The two methods lead to the same results of the resummation of large…

High Energy Physics - Phenomenology · Physics 2015-06-25 Hsiang-nan Li

We construct an evolution equation for the pion wave function in the $k_T$ factorization theorem, whose solution sums the mixed logarithm $\ln x\ln k_T$ to all orders, with $x$ ($k_T$) being a parton momentum fraction (transverse momentum).…

High Energy Physics - Phenomenology · Physics 2015-06-17 Hsiang-nan Li , Yue-Long Shen , Yu-Ming Wang

Perturbative corrections beyond leading-log accuracy to BFKL and BK equations, describing the rapidity evolution of QCD scattering amplitudes at high energy, exhibit strong convergence problems due to radiative corrections enhanced by large…

High Energy Physics - Phenomenology · Physics 2015-07-21 E. Iancu , J. D. Madrigal , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

The properties of the B-meson light-cone wave function up to next-to-leading order Fock state expansion have been studied through a comparative study of the $B\to \pi$, $K$ transition form factors within the $k_T$ factorization approach and…

High Energy Physics - Phenomenology · Physics 2009-11-13 Dai-Min Zeng , Xing-Gang Wu , Zhen-Yun Fang

Soft-collinear effective theory is used to prove factorization of the B->gamma+l+nu decay amplitude at leading power in Lambda/m_b, including a demonstration of the absence of non-valence Fock states and of the finiteness of the convolution…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. W. Bosch , R. J. Hill , B. O. Lange , M. Neubert

An integro-differential equation governing the evolution of the leading-order B-meson light-cone distribution amplitude is derived. The anomalous dimension in this equation contains a logarithm of the renormalization scale, whose…

High Energy Physics - Phenomenology · Physics 2008-11-26 Bjorn O. Lange , Matthias Neubert

In this paper, we summarize the existing methods of solving the evolution equation of the leading-twist $B$-meson LCDA. Then, in the Mellin space, we derive a factorization formula with next-to-leading-logarithmic (NLL) resummation for the…

High Energy Physics - Phenomenology · Physics 2021-04-20 Yue-Long Shen , Yan-Bing Wei , Xue-Chen Zhao , Si-Hong Zhou

Starting from the first renormalized factorization theorem for a process described at subleading power in soft-collinear effective theory, we discuss the resummation of Sudakov logarithms for such processes in renormalization-group improved…

High Energy Physics - Phenomenology · Physics 2021-07-14 Ze Long Liu , Bianka Mecaj , Matthias Neubert , Xing Wang

The $B$-meson light-cone distribution amplitude is an important non-perturbative quantity arising in the factorization of the amplitudes for many exclusive decays of $B$ mesons, such as $B^-\to\gamma\,\ell^-\bar\nu$. We reconsider the…

High Energy Physics - Phenomenology · Physics 2022-03-17 Anne Mareike Galda , Matthias Neubert , Xing Wang

Many observables in QCD rely upon the resummation of perturbation theory to retain predictive power. Resummation follows after one factorizes the cross section into the rele- vant modes. The class of observables which are sensitive to soft…

High Energy Physics - Phenomenology · Physics 2015-06-04 Jui-yu Chiu , Ambar Jain , Duff Neill , Ira Z. Rothstein

Within the framework of $B$-meson light-cone sum rules, we compute the one-loop level QCD corrections to $B\to \pi$ transition form factors at small $ q^{2}$ region, in implement of a complete renormalization group equation evolution. To…

High Energy Physics - Phenomenology · Physics 2018-03-14 Yue-Long Shen , Yan-Bing Wei , Cai-Dian Lü

We discuss the B-meson light-cone wavefunction relevant for QCD factorization approach for exclusive B-meson decays. We derive the operator product expansion for the B-meson light-cone wavefunction, taking into account the local composite…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hiroyuki Kawamura , Jiro Kodaira , Kazuhiro Tanaka

Building on the recent derivation of a bare factorization theorem for the $b$-quark induced contribution to the $h\to\gamma\gamma$ decay amplitude based on soft-collinear effective theory, we derive the first renormalized factorization…

High Energy Physics - Phenomenology · Physics 2021-02-03 Ze Long Liu , Bianka Mecaj , Matthias Neubert , Xing Wang

We apply Soft-Collinear Effective Theory to prove at leading power in Lambda_QCD/m_b a factorization formula for the radiative leptonic decay B -> gamma l nu. Large logarithms entering the hard-scattering kernel are systematically resummed…

High Energy Physics - Phenomenology · Physics 2011-09-13 Stefan W. Bosch

We perform infrared factorization of differential rates of radiative and semileptonic inclusive decays of the B meson in the end-point region of photon and charged lepton spectrum, respectively, in the leading heavy quark mass limit. We…

High Energy Physics - Phenomenology · Physics 2014-11-17 G. P. Korchemsky , G. Sterman

The rare radiative $B$-meson decay $B^-\to\gamma\ell^-\bar\nu$ and the radiative Higgs-boson decay $h\to\gamma\gamma$ mediated by light-quark loops both receive large logarithmic corrections in QCD, which can be resummed using factorization…

High Energy Physics - Phenomenology · Physics 2020-07-15 Ze Long Liu , Matthias Neubert

The higher-order perturbative corrections, beyond leading logarithmic accuracy, to the BFKL evolution in QCD at high energy are well known to suffer from a severe lack-of-convergence problem, due to radiative corrections enhanced by double…

High Energy Physics - Phenomenology · Physics 2015-06-23 E. Iancu , J. D. Madrigal , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos
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