Relations between Collinear and kT factorizations

Ermolaev, B. I.; Greco, Mario; Troyan, S. I.

doi:10.1063/1.4891138

Cited by 18 publications

(122 citation statements)

References 9 publications

(17 reference statements)

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“…The full-length derivation of all involved IREE can be found in Ref. [8]. Now all is set up to construct IREEs for F q,g .…”

Section: Iree For the Amplitudes Of Compton Scattering Off Partonsmentioning

confidence: 99%

“…The technology of implementation of this method to DIS is described in detail in Ref. [8]. In contrast to DGLAP and BFKL equations, we compose the two-dimensional evolution equations: They control the evolutions in both x and Q 2 .…”

Section: Introductionmentioning

confidence: 99%

“…In the first place there are DL terms ∼ (α s ln 2 (1/x)) n , then the terms ∼ (α s ln(1/x) ln Q 2 ) n , etc. Expressions accounting for resummation of DL contributions and for the running α s effects were obtained for several structure functions with nonvacuum exchanges in the t-channel: the spin structure function g 1 (the singlet and non-singlet components) and the nonsinglet component of F 1 (see the overview of [8] and the references therein). Besides, the expressions were obtained for g 1 and non-singlet F 1 combining the DGLAP results and resummation of the DL contributions, which made it possible to apply these expressions at arbitrary x and Q 2 .…”

Section: Introductionmentioning

confidence: 99%

“…To calculate F 1 we compose and solve Infra-Red Evolution Equations (IREEs) in the same way as we did for calculating the DIS singlet structure function g 1 (see Ref. [8]), investigating the cases of fixed and running α s . We recall that the IREE method was suggested by Lipatov in Refs.…”

Section: Introductionmentioning

confidence: 99%

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Singlet structure function $$F_1$$ F 1 in double-logarithmic approximation

Ermolaev

Troyan

2018

Eur. Phys. J. C

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The conventional ways to calculate the perturbative component of the DIS singlet structure function F 1 involve approaches based on BFKL which account for the single-logarithmic contributions accompanying the Born factor 1/x. In contrast, we account for the double-logarithmic (DL) contributions unrelated to 1/x and because of that they were disregarded as negligibly small. We calculate the singlet F 1 in the double-logarithmic approximation (DLA) and account at the same time for the running α s effects. We start with a total resummation of both quark and gluon DL contributions and obtain the explicit expression for F 1 in DLA. Then, applying the saddle-point method, we calculate the small-x asymptotics of F 1 , which proves to be of the Regge form with the leading singularity ω 0 = 1.066. Its large value compensates for the lack of the factor 1/x in the DLA contributions. Therefore, this Reggeon can be identified as a new Pomeron, which can be quite important for the description of all QCD processes involving the vacuum (Pomeron) exchanges at very high energies. We prove that the expression for the small-x asymptotics of F 1 scales: it depends on a single variable Q 2 /x 2 only instead of x and Q 2 separately. Finally, we show that the small-x asymptotics reliably represent F 1 at x ≤ 10 −6 .

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“…The full-length derivation of all involved IREE can be found in Ref. [8]. Now all is set up to construct IREEs for F q,g .…”

Section: Iree For the Amplitudes Of Compton Scattering Off Partonsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Singlet structure function $$F_1$$ F 1 in double-logarithmic approximation

Ermolaev

Troyan

2018

Eur. Phys. J. C

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“…Factorization is related to the universality of the infrared structure of gauge theories. While this universality has been explored for decades [22][23][24][25][26][27][28][29], it is still not completely understood and an active area of contemporary research [30][31][32][33]. With the recent resurgence of interest in on-shell approaches to scattering amplitudes [34,35], it is natural to ask whether an on-shell approach can shed light new light on factorization.…”

Section: Introductionmentioning

confidence: 99%

An on-shell approach to factorization

Feige

Schwartz

2013

Phys. Rev. D

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Factorization is possible due to the universal behavior of Yang-Mills theories in soft and collinear limits. Here, we take a small step towards a more transparent understanding of these limits by proving a form of perturbative factorization at treelevel using on-shell spinor helicity methods. We present a concrete and self-contained expression of factorization in which matrix elements in QCD are related to products of other matrix elements in QCD up to leading order in a power-counting parameter determined by the momenta of certain physical on-shell states. Our approach uses only the scaling of momenta in soft and collinear limits, avoiding any assignment of scaling behavior to unphysical (and gauge-dependent) fields. The proof of factorization exploits many advantages of helicity spinors, such as the freedom to choose different reference vectors for polarizations in different collinear sectors. An advantage of this approach is that once factorization is shown to hold in QCD, the transition to SoftCollinear Effective Theory is effortless.

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Phenomenological study of the interplay between IR-improved DGLAP-CS theory and the precision of an NLO ME matched parton shower MC

et al. 2014

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We present a phenomenological study of the current status of the application of our approach of exact amplitude-based resummation in quantum field theory to precision QCD calculations, by realistic MC event generator methods, as needed for precision LHC physics. We discuss recent results as they relate to the interplay of the attendant IR-Improved DGLAP-CS theory of one of us and the precision of exact NLO matrix-element matched parton shower MC's in the Herwig6.5 environment as determined by comparison to recent LHC experimental observations on single heavy gauge boson production and decay. The level of agreement between the new theory and the data continues to be a reason for optimism. In the spirit of completeness, we discuss as well other approaches to the same theoretical predictions that we make here from the standpoint of physical precision with an eye toward the (sub-)1% QCD⊗EW total theoretical precision regime for LHC physics.

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Relations between Collinear and kT factorizations

Cited by 18 publications

References 9 publications

Singlet structure function $$F_1$$ F 1 in double-logarithmic approximation

Singlet structure function $$F_1$$ F 1 in double-logarithmic approximation

An on-shell approach to factorization

Phenomenological study of the interplay between IR-improved DGLAP-CS theory and the precision of an NLO ME matched parton shower MC

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