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The BFKL high energy asymptotics in the next-to-leading approximation
High Energy Physics - Phenomenology · Submitted 2 Jun 1998
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We confirm the oscillation in the total cross section found in Ref. \cite{ROSS} in the NLO BFKL asymptotics, which shows that the NLO BFKL has a serious pathology.
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The abstract, sentence by sentence
We discuss the high energy asymptotics in the next-to-leading (NLO) BFKL equation. We find a general solution for Green functions and consider two properties of the NLO BFKL kernel: running QCD coupling and large NLO corrections to the conformal part of the kernel. Both of these effects lead to Regge-BFKL asymptotics only in the limited range of energy ($y = \ln(s/q q_0) \leq (\as)^{- {5/3}}$) and change the energy behaviour of the amplitude for higher values of energy. We confirm the oscillation in the total cross section found in Ref. \cite{ROSS} in the NLO BFKL asymptotics, which shows that the NLO BFKL has a serious pathology.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We discuss the high energy asymptotics in the next-to-leading (NLO) BFKL equation. | contribution 0.82 | 0.76 | 0.05 | unclear 0.67 |
| s1 | We find a general solution for Green functions and consider two properties of the NLO BFKL kernel: running QCD coupling and large NLO corrections to the conformal part of the kernel. | contribution 0.97 | 0.95 | 0.08 | asserted 1.00 |
| s2 | Both of these effects lead to Regge-BFKL asymptotics only in the limited range of energy ($y = \ln(s/q q_0) \leq (\as)^{- {5/3}}$) and change the energy behaviour of the amplitude for higher values of energy. | result 0.93 | 0.80 | 0.56 | asserted 1.00 |
| s3 | We confirm the oscillation in the total cross section found in Ref. \cite{ROSS} in the NLO BFKL asymptotics, which shows that the NLO BFKL has a serious pathology. | result 0.67 | 0.76 | 0.43 | asserted 1.00 |
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Original abstract
We discuss the high energy asymptotics in the next-to-leading (NLO) BFKL equation. We find a general solution for Green functions and consider two properties of the NLO BFKL kernel: running QCD coupling and large NLO corrections to the conformal part of the kernel. Both of these effects lead to Regge-BFKL asymptotics only in the limited range of energy ($y = \ln(s/q q_0) \leq (\as)^{- {5/3}}$) and change the energy behaviour of the amplitude for higher values of energy. We confirm the oscillation in the total cross section found in Ref. \cite{ROSS} in the NLO BFKL asymptotics, which shows that the NLO BFKL has a serious pathology.
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