Rapidity Renormalization Group

Chiu, Jui-yu; Jain, Ambar; Neill, Duff; Rothstein, Ira Z.

doi:10.1103/physrevlett.108.151601

Cited by 278 publications

(468 citation statements)

References 19 publications

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“…It will be shown that the RG evolution in the factorization scale µ f , whose anomalous dimension also depends on ζ 2 , has to be taken into account in order to derive an ultraviolet finite kernel. That is, the evolutions in both ζ 2 and µ f must be considered simultaneously for a consistent and complete treatment of the logarithmic corrections to the B meson wave functions, an observation in agreement with that in [39]. The solutions to the evolution equation contain the resummation of the rapidity logarithms, and their limits as ζ 2 → ∞ exist.…”

Section: Introductionmentioning

confidence: 82%

“…The evaluation of the NLO effective diagrams for the B meson and pion wave functions indicates the existence of the double logarithm ln 2 ζ 2 P [36] and the single logarithm ln ζ 2 P [37], respectively 1 . These logarithms, with the same origin as the rapidity logarithms discussed in [34,38,39,40], need to be resummed as ln ζ 2 P becomes large. It is expected that the resummation of the rapidity logarithms in the B meson wave functions will reduce the scheme dependence.…”

Section: Introductionmentioning

confidence: 99%

“…(2.22). Since the ultraviolet divergence and the light-cone divergence are from different kinematical region, the scheme and scale evolutions are commutable [39]. The commutativity of the derivatives with respect to ζ 2 and µ f , 23) leads to the condition…”

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confidence: 99%

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Resummation of rapidity logarithms in B meson wave functions

Shen

Wang

2013

J. High Energ. Phys.

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Abstract:We construct an evolution equation for the B meson wave functions in the k T factorization theorem, whose solutions sum the double logarithms associated with the light-cone singularities, namely, the rapidity logarithms. The derivation is subtler than that of the Sudakov resummation for an energetic light hadron, due to the involvement of the effective heavy-quark field. The renormalization-group evolution in the factorization scale needs to be included in order to derive an ultraviolet-finite and scale-invariant kernel for resumming the rapidity logarithms. It is observed that this kernel is similar to that of the joint resummation for QCD processes in extreme kinematic regions, which combines the threshold and k T resummations. We show that the resummation effect maintains the normalization of the B meson wave functions, and strengths their convergent behavior at small spectator momentum. The resummation improved B meson wave functions are then employed in the leading-order analysis of the B → π transition form factors, which lead to approximately 25 % deduction in the large recoil region.

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Section: Introductionmentioning

confidence: 82%

Section: Introductionmentioning

confidence: 99%

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Resummation of rapidity logarithms in B meson wave functions

Shen

Wang

2013

J. High Energ. Phys.

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“…different ways, and in this work we use the rapidity renormalization group [23,24]. This method regulates the rapidity divergences with an explicit factor in matrix elements, introducing a scale ν that functions much like µ in dimensional regularization.…”

Section: Jhep03(2014)119mentioning

confidence: 99%

Jet veto clustering logarithms beyond leading order

Alioli

Walsh

2014

J. High Energ. Phys.

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Many experimental analyses separate events into exclusive jet bins, using a jet algorithm to cluster the final state and then veto on jets. Jet clustering induces logarithmic dependence on the jet radius R in the cross section for exclusive jet bins, a dependence that is poorly controlled due to the non-global nature of the clustering. At jet radii of experimental interest, the leading order (LO) clustering effects are numerically significant, but the higher order effects are currently unknown. We rectify this situation by calculating the most important part of the next-to-leading order (NLO) clustering logarithms of R for any 0-jet process, which enter as O(α 3 s ) corrections to the cross section. The calculation blends subtraction methods for NLO calculations with factorization properties of QCD and soft-collinear effective theory (SCET). We compare the size of the known LO and new NLO clustering logarithms and find that the impact of the NLO terms on the 0-jet cross section in Higgs production is small. This brings clustering effects under better control and may be used to improve uncertainty estimates on cross sections with a jet veto.

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“…For calculating the partonic FFs for producing a heavy quark pair in a non-relativistic S-wave state, the infrared (IR) divergence associated with contributions from individual Feynman diagrams completely cancels at any given order of α s after we sum up all contributions at this order. However, for calculating the partonic FFs of producing a heavy quark pair in a non-relativistic P -wave or higher orbital angular momentum state, IR divergences (as well as what is often referred to as the rapidity divergence [32][33][34][35][36] in the context of transverse momentum dependent factorization formalism [37]) cannot be completely canceled by summing over contributions from all diagrams [27]. Instead, IR divergences (and the rapidity divergences) should be cancelled by corresponding divergences in the NRQCD LDMEs on the RHS of the factorization formalism, as required by factorization.…”

Section: A Nrqcd Factorization and Input Fragmentation Functionsmentioning

confidence: 99%

Heavy quarkonium production at collider energies: Partonic cross section and polarization

et al. 2015

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We calculate the O(α 3 s ) short-distance, QCD collinear-factorized coefficient functions for all partonic channels that include the production of a heavy quark pair at short distances. This provides the first power correction to the collinear-factorized inclusive hadronic production of heavy quarkonia at large transverse momentum, pT , including the full leading-order perturbative contributions to the production of heavy quark pairs in all color and spin states employed in NRQCD treatments of this process. We discuss the role of the first power correction in the production rates and the polarizations of heavy quarkonia in high energy hadronic collisions. The consistency of QCD collinear factorization and non-relativistic QCD factorization applied to heavy quarkonium production is also discussed.

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Rapidity Renormalization Group

Cited by 278 publications

References 19 publications

Resummation of rapidity logarithms in B meson wave functions

Resummation of rapidity logarithms in B meson wave functions

Jet veto clustering logarithms beyond leading order

Heavy quarkonium production at collider energies: Partonic cross section and polarization

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