Why does the 2gnnlo prediction in small diphoton transverse momentum diverge?

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Discussion Overview

The discussion revolves around the divergence of the 2gNNLO prediction in the context of small diphoton transverse momentum (qt) and the application of the qt-subtraction formalism to address infrared (IR) divergences. Participants explore the implications of this divergence and its relation to phase space considerations.

Discussion Character

  • Technical explanation, Debate/contested

Main Points Raised

  • One participant notes that the qt-subtraction formalism is intended to cancel IR divergences in small diphoton transverse momentum but expresses confusion about the divergence of the 2gNNLO prediction in this region.
  • Another participant questions whether the original inquiry pertains to a specific figure (Fig. 1b) in the referenced paper.
  • A different participant observes that the 2gNNLO prediction appears to deviate significantly from data, suggesting it is off by 2-3 standard deviations across the diphoton pT spectrum, particularly in comparison to the SHERPA model.
  • One participant proposes that the qt-subtraction formalism is akin to phase space slicing and discusses the need for soft gluon resummation in the context of the divergence related to qt approaching zero, linking it to specific reaction processes.

Areas of Agreement / Disagreement

Participants express differing levels of understanding regarding the divergence issue, with some questioning the applicability of the qt-subtraction formalism and others pointing out discrepancies between predictions and experimental data. No consensus is reached on the underlying reasons for the divergence.

Contextual Notes

The discussion highlights the complexity of the phase space involved in the reactions being analyzed and the potential need for additional techniques, such as soft gluon resummation, to address the divergences observed.

Ramin-k
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As i know the qt-subtraction formalism is a method to cancel IR divergences, for example in small diphoton transverse momentum . nevertheless I can't understand why the prediction of 2gnnlo in https://arxiv.org/abs/1301.4536 diverges in region of small diphoton transverse momentum (qt) .
thank you in advance.
 
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are you referring to Fig.1b?
 
ChrisVer said:
are you referring to Fig.1b?
yes
 
So, I am not sure I understand your question though... 2gNNLO prediction seems to be far off the data by 2-3 stds in the whole diphoton pT spectrum? At least compared to SHERPA
 
I think i understand the answer. qt-subtraction formalism is like phase "phase space slicing" formalism suitable for reaction like 1+2->3+4+5 ,that was explained in http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.344.8809&rep=rep1&type=pdf where 3 and 4 have high pt and 5 can be soft or collinear. whereas singularity related to qt->0 originated from 1+2->3+4 processes, consequently for this region of phase space we need soft gluon resummation.
 

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