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We compute the renormalization and evolution of the soft-quark function that appears in the factorization theorem for Higgs-boson decays to two photons through a $b$-quark loop. Our computation confirms a conjecture by Liu, Mecaj, Neubert,…

High Energy Physics - Phenomenology · Physics 2021-07-21 Geoffrey T. Bodwin , June-Haak Ee , Jungil Lee , Xiang-Peng Wang

In the paper, we apply the $k_T$ factorization approach to deal with the $B\to K$ transition form factor with tensor current in the large recoil regions. Main uncertainties for the estimation are discussed and we obtain $F_T^{B\to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Dai-Min Zeng , Xing-Gang Wu , Zhen-Yun Fang

In the collinear factorization of the form factor for the transition $\gamma^* \pi^0 \to \pi$ the hard part contains double log terms. These terms will spoil the perturbative expansion of the hard part. A simple exponentiation for…

High Energy Physics - Phenomenology · Physics 2009-12-15 F. Feng , J. P. Ma

The resummed expression for the quark form factor illustrates the fact that dimensional continuation provides a regularization not only for ultraviolet and infrared singularities of fixed order QCD amplitudes, but also for the Landau pole…

High Energy Physics - Phenomenology · Physics 2009-10-31 Lorenzo Magnea

We derive a resummation formula for a $k_T$-dependent parton distribution function at threshold, where $k_T$ is a parton transverse momentum. The derivation requires infrared cutoffs for both longitudinal and transverse loop momenta as…

High Energy Physics - Phenomenology · Physics 2009-10-31 Hsiang-nan Li

We develop a formalism for resumming threshold double logarithms that appear in fragmentation functions for production of heavy quarkonia. Threshold singularities appear in fixed-order calculations of quarkonium fragmentation functions in…

High Energy Physics - Phenomenology · Physics 2026-04-29 Hee Sok Chung , U-Rae Kim , Jungil Lee

We calculate the next-to-leading order QCD corrections to $B$ to scalar meson form factors from QCD light-cone sum rules with $B$ meson light-cone distribution amplitudes. We demonstrate that the $B$ meson-to-vacuum correlation functions…

High Energy Physics - Phenomenology · Physics 2023-10-17 Xue-Ying Han , Long-Shun Lu , Cai-Dian Lü , Yue-Long Shen , Bo-Xuan Shi

We claim that factorization implies that the evolution kernel, defined by the logarithmic derivative of the N-th moment of the structure function d ln F_2^N / d ln Q^2, receives logarithmically enhanced contributions (Sudakov logs) from a…

High Energy Physics - Phenomenology · Physics 2009-11-07 E. Gardi , R. G. Roberts

We derive the two-loop evolution equation of the B-meson light-cone distribution amplitude which is the last missing element for the next-to-next-to-leading logarithmic resummation of QCD corrections to B decays in QCD factorization. We…

High Energy Physics - Phenomenology · Physics 2019-07-24 V. M. Braun , Yao Ji , A. N. Manashov

A method is developed for calculating the jet mass distribution at hadron colliders using an expansion about the kinematic threshold. In particular, we consider the mass distribution of jets of size R produced in association with a hard…

High Energy Physics - Phenomenology · Physics 2013-05-30 Yang-Ting Chien , Randall Kelley , Matthew D. Schwartz , Hua Xing Zhu

We resum distributions that are singular at partonic threshold (the elastic limit) in heavy quark production, in terms of logarithmic behavior in moment space. The method may be applied to a variety of cross sections sensitive to the edge…

High Energy Physics - Phenomenology · Physics 2014-11-17 Nikolaos Kidonakis , George Sterman

We perform factorization of the most general distribution in semileptonic B -> X_u decays and we resum the threshold logarithms to next-to-leading order. From this (triple-differential) distribution, any other distribution is obtained by…

High Energy Physics - Phenomenology · Physics 2009-11-07 U. Aglietti

We consider the production of a pair of heavy quarks ($Q{\bar Q}$) in hadronic collisions. When the transverse momentum $q_T$ of the heavy-quark pair is much smaller than its invariant mass, the QCD perturbative expansion is affected by…

High Energy Physics - Phenomenology · Physics 2015-06-22 S. Catani , M. Grazzini , A. Torre

A complete description of W and Z boson production at high-energy hadron colliders requires the resummation of large Sudakov double logarithms which dominate the transverse momentum (q_T) distribution at small q_T. We compare different…

High Energy Physics - Phenomenology · Physics 2009-10-31 Anna Kulesza , W. James Stirling

We present a Borel resummation method for the QCD corrections in inclusive, charmless, semileptonic B meson decay. The renormalon contributions are resummed to all orders by employing a bilocal expansion of the Borel transform that…

High Energy Physics - Phenomenology · Physics 2009-11-07 Taekoon Lee

Using methods of effective field theory, factorized expressions for arbitrary B -> X_u l nu decay distributions in the shape-function region of large hadronic energy and moderate hadronic invariant mass are derived. Large logarithms are…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. W. Bosch , B. O. Lange , M. Neubert , G. Paz

We study the resummation of large QCD radiative corrections up to the next to leading logarithmic accuracy to the process photon photon to b anti-b; i.e., we resum logarithms of the type alpha_s^p log^{2p}{m^2/s} and alpha_s^p…

High Energy Physics - Phenomenology · Physics 2011-01-25 R. Akhoury , H. Wang , O. Yakovlev

Employing the QCD factorization formalism we compute $B_{u}^{-} \to \gamma^{\ast} \, \ell \, \bar \nu_{\ell}$ form factors with an off-shell photon state possessing the virtuality of order $m_b \, \Lambda_{\rm QCD}$ and $m_b^2$,…

High Energy Physics - Phenomenology · Physics 2022-03-09 Chao Wang , Yu-Ming Wang , Yan-Bing Wei

Based on the nonrelativistic QCD factorization theorem, we resum QCD corrections to the inclusive decay rate of $\eta_c$ and $\eta_b$ in the large-$n_f$ limit using bubble chain resummation. By employing dimensional regularization, we show…

High Energy Physics - Phenomenology · Physics 2018-12-24 Nora Brambilla , Hee Sok Chung , Javad Komijani

We develop the framework to perform all-orders resummation of electroweak logarithms of Q/M for inclusive scattering processes at energies Q much above the electroweak scale M. We calculate all ingredients needed at next-to-leading…

High Energy Physics - Phenomenology · Physics 2018-09-26 Aneesh V. Manohar , Wouter J. Waalewijn