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The present calculations in perturbative QCD reach the order $\alpha_s^4$ for several correlators calculated to five loops, and the huge computational difficulties make unlikely the full six-loop calculation in the near future. This…

高能物理 - 唯象学 · 物理学 2019-10-02 Irinel Caprini

The 2--point functions for $\Delta S=1$ current-current and QCD-penguin operators, as well as for the $\ds$ operator, are calculated at the next-to-leading order. The calculation is performed in two different renormalization schemes for…

高能物理 - 唯象学 · 物理学 2009-10-28 Matthias Jamin , Antonio Pich

In a recent letter [Phys. Rev. Lett. 108, 172003 (2012), arXiv:1109.2480] we have reported on a lattice QCD calculation of the heavy-hadron axial couplings $g_1$, $g_2$, and $g_3$. These quantities are low-energy constants of heavy-hadron…

高能物理 - 格点 · 物理学 2012-06-19 William Detmold , C. -J. David Lin , Stefan Meinel

The renormalized zero-momentum four-point coupling $g_r$ of $O(N)$-invariant scalar field theories in $d$ dimensions is studied by applying the $1/N$ expansion and strong coupling analysis. The $O(1/N)$ correction to the $\beta$-function…

高能物理 - 格点 · 物理学 2009-10-28 M. Campostrini , A. Pelissetto , P. Rossi , E. Vicari

We consider operators in N=4 SYM theory which are dual, at strong coupling, to classical strings rotating in S^5. Three point correlation functions of such operators factorize into a universal contribution coming from the AdS part of the…

高能物理 - 理论 · 物理学 2015-05-30 Romuald A. Janik , Andrzej Wereszczynski

We compute the O(alpha_s) corrections to the Wilson coefficient of the kinetic operator in inclusive semileptonic B decays. Our analytic calculation agrees with reparameterization invariance and with previous numerical results and paves the…

高能物理 - 唯象学 · 物理学 2021-02-10 Andrea Alberti , Thorsten Ewerth , Paolo Gambino , Soumitra Nandi

We study the O(4) Wilson-Fisher fixed point in 2+1 dimensions in fixed large-charge sectors identified by products of two spin-j representations $(j_L, j_R)$. Using effective field theory we derive a formula for the conformal dimensions…

高能物理 - 格点 · 物理学 2019-08-07 Debasish Banerjee , Shailesh Chandrasekharan , Domenico Orlando , Susanne Reffert

We calculate the $O(\a_s)$ virtual corrections to the matrix element for $b \to s \gamma$, taking into account the contributions of the four-Fermi operator $O_2$ and the electromagnetic and color dipole-type operators. The results are…

高能物理 - 唯象学 · 物理学 2011-01-05 C. Greub , T. Hurth , D. Wyler

The talk summarises a calculation of the two-point functions for $\Delta S=1$ current-current and QCD-penguin operators, as well as for the $\Delta S=2$ operator, at the next-to-leading order. The size of the gluonic corrections to…

高能物理 - 唯象学 · 物理学 2009-10-28 Matthias Jamin

We calculate the next-to-next-to-leading order ${\cal O}(\alpha_s^4)$ one-loop squared corrections to the production of heavy quark pairs in quark-antiquark annihilations. These are part of the next-to-next-to-leading order ${\cal…

高能物理 - 唯象学 · 物理学 2008-11-26 J. G. Körner , Z. Merebashvili , M. Rogal

The flavor-changing electromagnetic dipole operator O_7 gives the dominant contribution to the B -> Xs gamma decay rate. We calculate two-loop QCD corrections to its matrix element together with the corresponding bremsstrahlung…

高能物理 - 唯象学 · 物理学 2013-07-02 I. Blokland , A. Czarnecki , M. Misiak , M. Slusarczyk , F. Tkachov

Lattice calculations of the form factors for $\bar{B}\to D^{(*)}\ell\bar{\nu}$ decays can be used to extract the CKM matrix element $|V_{cb}|$. The Oktay-Kronfeld action is a highly improved version of the Fermilab action, which…

高能物理 - 格点 · 物理学 2016-12-30 Jon A. Bailey , Jaehoon Leem , Weonjong Lee , Yong-Chull Jang

Using the form of N=2 superconformal invariants we derive the explicit relation between the bottom and top components of the correlator of four stress-tensor multiplets in N=4 Super Yang-Mills. The result is given in terms of an eighth…

高能物理 - 理论 · 物理学 2008-11-26 J. M. Drummond , L. Gallot , E. Sokatchev

Interference between the photonic dipole operator Q_7 and the current-current operators Q_{1,2} gives one of the most important QCD corrections to the B -> X_s gamma decay rate. So far, the O(alpha_s^2) part of this correction has been…

高能物理 - 唯象学 · 物理学 2015-03-09 Michal Czakon , Paul Fiedler , Tobias Huber , Mikolaj Misiak , Thomas Schutzmeier , Matthias Steinhauser

We present the next-to-leading-order QCD corrections of O(alpha_s^2 G_F M_t^2) to the low-M_H effective l^+l^-H, ZZH, and W^+W^-H interaction Lagrangians in the high-M_t limit. In the on-shell scheme formulated with G_F, the O(alpha_s^2 G_F…

高能物理 - 唯象学 · 物理学 2009-10-28 B. A. Kniehl , M. Steinhauser

We determine, for the first time, the scaling dimensions of a family of fixed-charge operators stemming from the critical $O(N)$ model in 4-$\epsilon$ dimensions to the leading and next to leading order terms in the charge expansion but to…

高能物理 - 理论 · 物理学 2021-02-09 Oleg Antipin , Jahmall Bersini , Francesco Sannino , Zhi-Wei Wang , Chen Zhang

Hadronic tau decays offer the possibility of determining the strong coupling alpha_s at relatively low energy. Precisely for this reason, however, good control over the perturbative QCD corrections, the non-perturbative condensate…

高能物理 - 唯象学 · 物理学 2013-02-12 Matthias Jamin

We derive the Operator Product Expansion whose vacuum expectation value gives the time-moments of the pseudoscalar heavy-light current-current correlator up to and including terms in $\alpha_s^2$ multiplying…

高能物理 - 格点 · 物理学 2019-08-14 C. T. H. Davies , K. Hornbostel , J. Komijani , J. Koponen , G. P. Lepage , A. T. Lytle , C. McNeile

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…

高能物理 - 唯象学 · 物理学 2011-01-25 Hooman Davoudiasl , Adam K. Leibovich

We complete the program of 2012.15792 about perturbative approaches for $\mathcal{N}=2$ superconformal quiver theories in four dimensions. We consider several classes of observables in presence of Wilson loops, and we evaluate them with the…

高能物理 - 理论 · 物理学 2021-11-24 Francesco Galvagno , Michelangelo Preti