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We calculate the perturbative corrections to order \alpha_s^2\beta_0 to the sum rule derived from the second moment of the time-ordered product of b \to c currents near zero recoil. This sum rule yields a bound on \lambda_1, the expectation…

High Energy Physics - Phenomenology · Physics 2011-01-25 Hooman Davoudiasl , Adam K. Leibovich

We calculate near zero recoil the order $\alpha_s$ corrections to the Bjorken and Voloshin sum rules that bound the $B\to D^{(*)}\ell\bar\nu$ form factors. These bounds are derived by relating the result of inserting a complete set of…

High Energy Physics - Phenomenology · Physics 2009-10-30 C. Glenn Boyd , Zoltan Ligeti , Ira Z. Rothstein , Mark B. Wise

We present the complete O(alpha_s^2) corrections to the Wilson coefficient of the unit operator in the zero-recoil sum rule for the B-->D* transition. We include both perturbative and power-suppressed nonperturbative effects in a manner…

High Energy Physics - Phenomenology · Physics 2010-11-23 Andrzej Czarnecki , Kirill Melnikov , Nikolai Uraltsev

We examine the B -> D* form factor at zero recoil using a continuum QCD approach rooted in the heavy quark sum rules framework. A refined evaluation of the radiative corrections as well as the most recent estimates of higher order power…

High Energy Physics - Phenomenology · Physics 2014-11-20 Paolo Gambino , Thomas Mannel , Nikolai Uraltsev

Two new sum rules were recently discovered by Le Yaouanc et al. by applying the operator product expansion to the nonforward matrix element of a time-ordered product of $b \to c$ currents in the heavy-quark limit of QCD. They lead to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Matthew P. Dorsten

We compute perturbative QCD corrections to $B \to D$ form factors at leading power in $\Lambda/m_b$, at large hadronic recoil, from the light-cone sum rules (LCSR) with $B$-meson distribution amplitudes in HQET. QCD factorization for the…

High Energy Physics - Phenomenology · Physics 2017-06-28 Yu-Ming Wang , Yan-Bing Wei , Yue-Long Shen , Cai-Dian Lü

We calculate the next-to-leading order QCD corrections to the perturbative term in the operator product expansion of the spectral functions of light tetraquark currents. By using also configuration space methods we keep the momentum space…

High Energy Physics - Phenomenology · Physics 2014-10-01 S. Groote , J. G. Körner , D. Niinepuu

We underline a problem existing in the heavy quark limit of QCD concerning the rates of semileptonic B decays into P-wave $D_J(j)$ mesons, where $j = {1 \over 2}$ (wide states) or $j = {3 \over 2}$ (narrow states). The leading order sum…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Le Yaouanc , L. Oliver , O. Pene , J. -C. Raynal , V. Morenas

Order $\beta_0^n \alpha_s^{n+1}$ QCD corrections to top quark decays into $W^+$ and $H^+$ bosons are computed to all orders in perturbation theory. Predictions for the radiative corrections to the top quark width are compared with the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Thomas Mehen

In previous work we have developed a relativistic quark model of mesons which is consistent with all QCD constraints at zeroth and first order in the heavy quark expansion. Here we obtain first order model predictions for the differential…

High Energy Physics - Phenomenology · Physics 2009-10-22 B. Holdom , M. Sutherland

The radiative decay $ B_{q}^*\to B_{q}\gamma(q=u,d, or s) $ is reexamined with a modified light-cone QCD sum rule method, in which adequate chiral operators are chosen as the interpolating fields in the correlators used for a sum rule…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zuo-Hong Li , Xiang-Yao Wu , Tao Huang

We derive QCD sum rules for heavy baryons at leading order in $1/m_Q$ and at next-to-leading order in $\alpha_s$. The calculation involves the evaluation of four different perturbative three-loop diagrams which determine the…

High Energy Physics - Phenomenology · Physics 2016-08-24 S. Groote , J. G. Körner , O. I. Yakovlev

We set up a zero recoil sum rule to constrain the form factors of the $\Lambda_b \to \Lambda_c$ transition. Our results are compared with the recent lattice calculation for these transitions. We find the same situation as in the case for $B…

High Energy Physics - Phenomenology · Physics 2015-10-21 Thomas Mannel , Danny van Dyk

We provide upper and lower bounds on the semileptonic weak decay form factors for $B \to D^(*)$ and $\Lambda_b \to \Lambda_c$ decays by utilizing inclusive heavy quark effective theory sum rules. These bounds are calculated to second order…

High Energy Physics - Phenomenology · Physics 2009-10-31 Cheng-Wei Chiang

The QCD higher order effects to the polarized structure function $g_2(x, Q^2 )$ are reanalyzed for massive quarks in the context of the operator product expansion. We confirm that the lowest moment of $g_2 (x, Q^2 )$ which corresponds to…

High Energy Physics - Phenomenology · Physics 2009-10-28 Jiro Kodaira , Satoshi Matsuda , Tsuneo Uematsu , Ken Sasaki

We estimate the two-loop perturbative corrections to zero-recoil matrix elements of the flavour-changing currents $\bar c\,\gamma^\mu b$ and $\bar c\,\gamma^\mu\gamma_5\,b$ by calculating the terms of order $n_f\,\alpha_s^2$ and…

High Energy Physics - Phenomenology · Physics 2011-01-25 Matthias Neubert

In this article, we recalculate the contributions of all vacuum condensates up to dimension-6, in particular the one-loop corrections to the quark condensates $\alpha_s<\bar{q}q>$ and partial one-loop corrections to the four-quark…

High Energy Physics - Phenomenology · Physics 2013-11-05 Zhi-Gang Wang

We compute the perturbative corrections to the HQET sum rules for the matrix element of the \Delta B=2 operator that determines the mass shift of $B^0$, $\bar{B}^0$ states. Technically, we obtain analytically the non-factorizable…

High Energy Physics - Phenomenology · Physics 2016-09-21 Andrey G. Grozin , Rebecca Klein , Thomas Mannel , Alexei A. Pivovarov

These proceedings summarize a newly found connection between the factorial growth of coefficients in perturbative QCD and power corrections to the perturbation series, discussed in refs. [1-4]. The improved convergence is shown for three…

High Energy Physics - Phenomenology · Physics 2025-05-28 Andreas S. Kronfeld

We compute radiative corrections to $\Lambda_b \to \Lambda$ from factors, at next-to-leading logarithmic accuracy, from QCD light-cone sum rules with $\Lambda_b$-baryon distribution amplitudes. Employing the diagrammatic approach…

High Energy Physics - Phenomenology · Physics 2016-03-23 Yu-Ming Wang , Yue-Long Shen
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