Handbook of research on competitive strategy

Czakon, Wojciech

doi:10.3917/mana.161.0106

Cited by 88 publications

(128 citation statements)

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“…In practice, the calculation follows the standard procedure. Diagrams are generated with DiaGen [46], the Dirac algebra is performed with FORM [47], and the resulting scalar integrals are reduced using IBP identities with IdSolver [46]. The main challenge of this calculation begins after these steps.…”

Section: The Bare Calculationmentioning

confidence: 99%

The (Q7, Q1,2) contribution to B ¯ → X s γ $$ \overline{B}\to {X}_s\gamma $$ at O α s 2 $$ \mathcal{O}\left({\alpha}_{\mathrm{s}}^2\right) $$

Czakon

Fiedler

Huber

et al. 2015

J. High Energ. Phys.

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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 theB → X s γ decay rate. So far, the O α 2 s part of this correction has been known in the heavy charm quark limit only (m c ≫ m b /2). Here, we evaluate this part at m c = 0, and use both limits in an updated phenomenological study. Our prediction for the CP-and isospin-averaged branching ratio in the Standard Model reads B SM sγ = (3.36±0.23)×10 −4 for E γ > 1.6 GeV.

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Section: The Bare Calculationmentioning

confidence: 99%

The (Q7, Q1,2) contribution to B ¯ → X s γ $$ \overline{B}\to {X}_s\gamma $$ at O α s 2 $$ \mathcal{O}\left({\alpha}_{\mathrm{s}}^2\right) $$

Czakon

Fiedler

Huber

et al. 2015

J. High Energ. Phys.

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“…Having as working environment the code MB.m [30] 4 , we use the Mathematica package MBasymptotics.m [32] to perform an asymptotic expansion in e −ρ . We remove any terms proportional to e −kρ , k ∈ Z, capturing this way the leading behavior in ρ.…”

Section: Iv2 Calculation Of the Enhanced Diagramsmentioning

confidence: 99%

Gluon Regge trajectory at two loops from Lipatovʼs high energy effective action

et al. 2013

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We present the derivation of the two-loop gluon Regge trajectory using Lipatov's high energy effective action and a direct evaluation of Feynman diagrams. Using a gauge invariant regularization of high energy divergences by deforming the light-cone vectors of the effective action, we determine the two-loop self-energy of the reggeized gluon, after computing the master integrals involved using the Mellin-Barnes representations technique. The self-energy is further matched to QCD through a recently proposed subtraction prescription. The Regge trajectory of the gluon is then defined through renormalization of the reggeized gluon propagator with respect to high energy divergences. Our result is in agreement with previous computations in the literature, providing a non-trivial test of the effective action and the proposed subtraction and renormalization framework. I IntroductionCurrent applications of high energy factorization to QCD phenomenology range from the analysis of perturbative observables, such as dijets widely separated in rapidity [1], over transverse momentum dependent parton distribution functions in the low x region [2], up to the study of phenomena in heavy ion collisions [3]. Their common base is the factorization of QCD scattering amplitudes in the limit of asymptotically large center of mass energy, together with the resummation of large logarithmic contributions using the Balitsky-Fadin-KuraevLipatov (BFKL) equation [4,5]. Recent phenomenological use of the BFKL resummation can be found in the analysis of the combined HERA data on the structure function F 2 and F L [6,7], the study of di-hadron spectra in high multiplicity distributions at the Large Hadron Collider [8] or the production of high p T dijets [9,10,11] , widely separated in rapidity.In the present work we discuss Lipatov's high energy effective action [12] and show that it can serve as a useful tool to reformulate the high energy limit of QCD as an effective field theory of reggeized gluons. While the determination of the high energy limit of tree-level 1 arXiv:1307.2591v1 [hep-ph]

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“…Highlights from top-quark [4] and flavour physics [5] as well as more details and examples for progress in higher-order calculations [6,7] can be found elsewhere in these proceedings.…”

Section: Introductionmentioning

confidence: 99%