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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

We argue that the evolution kernel for the scale-dependence of the $B$-meson light-cone distribution amplitude (LCDA) can be written, to all orders in perturbation theory, in terms of the generator of special conformal transformations in a…

High Energy Physics - Phenomenology · Physics 2019-12-09 V. M. Braun , Yao Ji , A. N. Manashov

We consider evolution equations describing the scale dependence of the wave function of a baryon containing an infinitely heavy quark and a pair of light quarks at small transverse separations, which is the QCD analogue of the helium…

High Energy Physics - Phenomenology · Physics 2014-10-14 V. M. Braun , S. E. Derkachov , A. N. Manashov

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

We construct parametrizations of light-cone distribution amplitudes (LCDAs) for B-mesons and Lambda_b-baryons that obey various theoretical constraints, and which are simple to use in factorization theorems relevant for phenomenological…

High Energy Physics - Phenomenology · Physics 2015-06-17 Guido Bell , Thorsten Feldmann , Yu-Ming Wang , Matthew W Y Yip

We find that the evolution equation for the three-particle quark-gluon B-meson light-cone distribution amplitude (DA) of subleading twist is completely integrable in the large $N_c$ limit and can be solved exactly. The lowest anomalous…

High Energy Physics - Phenomenology · Physics 2015-11-04 V. M. Braun , A. N. Manashov , N. Offen

QCD evolution equations in $\text{MS}$-like schemes can be recovered from the same equations in a modified theory, QCD in non-integer $d=4-2\epsilon$ dimensions, which enjoys exact scale and conformal invariance at the critical point.…

High Energy Physics - Phenomenology · Physics 2015-06-22 V. M. Braun , A. N. Manashov

We extend our relativistic quark model to the study of the decay Lambda_b -> Lambda_c ell nu and verify that the model satisfies the heavy-quark symmetry constraints at order 1/mQ^2. We isolate a strong dependence on a parameter which…

High Energy Physics - Phenomenology · Physics 2010-11-01 B. Holdom , M. Sutherland , J. Mureika

NLO evolution of the Jalilian-Marian-Iancu-McLerran-Weigert-Leonidov-Kovner (JIMWLK) equation with massless quarks was derived a few years ago. We make a step further to compute the evolution kernels focusing on the effects due to finite…

High Energy Physics - Phenomenology · Physics 2022-08-10 Lin Dai , Michael Lublinsky

We study implications of exact conformal invariance of scalar quantum field theories at the critical point in non-integer dimensions for the evolution kernels of the light-ray operators in physical (integer) dimensions. We demonstrate that…

High Energy Physics - Theory · Physics 2014-10-20 V. M. Braun , A. N. Manashov

The B-meson distribution amplitude (DA) is defined as the matrix element of a quark-antiquark bilocal light-cone operator in the heavy-quark effective theory, corresponding to a long-distance component in the factorization formula for…

High Energy Physics - Phenomenology · Physics 2014-11-20 Hiroyuki Kawamura , Kazuhiro Tanaka

Using the conformal invariance the leading-log evolution of the off-forward structure function is reduced to the forward evolution described by the conventional DGLAP equation. The method relies on the fact that the anomalous dimensions of…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Shuvaev

We present a new method for solving the BFKL evolution applicable at both leading and next-to-leading logarithmic accuracy, and tailored to the study of QCD multi-jet events at colliders. We utilise this to discuss corrections to the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jeppe R. Andersen

QCD in non-integer d=4-2 epsilon space-time dimensions possesses a nontrivial critical point and enjoys exact scale and conformal invariance. This symmetry imposes nontrivial restrictions on the form of the renormalization group equations…

High Energy Physics - Phenomenology · Physics 2015-06-19 V. M. Braun , A. N. Manashov

QCD in non-integer $d=4-2\epsilon$ space-time dimensions enjoys conformal invariance at the special fine-tuned value of the coupling. Counterterms for composite operators in minimal subtraction schemes do not depend on $\epsilon$ by…

High Energy Physics - Phenomenology · Physics 2019-03-27 V. M. Braun , A. N. Manashov , S. Moch , M. Strohmaier

The Glauber approach to the gluon density in a nucleus, suggested by A. Mueller, is developed and studied in detail. Using the GRV parameterization for the gluon density in a nucleon, the value as well as energy and $Q^2$ dependence of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. L. Ayala , M. B. Gay Ducati , E. M. Levin

We present a systematic study of the B meson light-cone distribution amplitudes which are relevant for the QCD factorization approach for the exclusive B meson decays. We construct representations for the quark-antiquark distribution…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hiroyuki Kawamura , Jiro Kodaira , Cong-Feng Qiao , Kazuhiro Tanaka

We construct an evolution equation for the invariant-mass distribution of light-quark and gluon jets in the framework of QCD resummation. The solution of the evolution equation exhibits a behavior consistent with Tevatron CDF data: the jet…

High Energy Physics - Phenomenology · Physics 2013-05-01 Hsiang-nan Li , Zhao Li , C. -P. Yuan

I consider a model for heavy meson decays based on an effective quark-meson Lagrangian. The model is constrained by the known symmetries of QCD in the m_Q -> infinity limit for the heavy quarks, and chiral symmetry in the light quark…

High Energy Physics - Phenomenology · Physics 2007-05-23 Aldo Deandrea

We summarise a Dyson-Schwinger-equation-based calculation of an extensive range of light- and heavy-meson observables, characterised by heavy-meson leptonic decays, semileptonic heavy-to-heavy and heavy-to-light transitions, radiative and…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. A. Ivanov , Yu. L. Kalinovsky , C. D. Roberts
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