Effect of color on rapidity gap survival

Nagy, Zoltán; Soper, Davison E.

doi:10.1103/physrevd.100.074012

Cited by 13 publications

(19 citation statements)

References 35 publications

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“…In Ref. [9], we examined the effect of color on the rapidity gap survival fraction for a range of y 12 andp T . We found that the effect of having up to two powers of V iπ was always quite small.…”

Section: Resultsmentioning

confidence: 99%

“…It also allows us to test whether exponentiation of the iπ contributions makes a substantial numerical difference compared to simply keeping just a small number of factors of V iπ . For this purpose, we will use the gap fraction, for which we have found previously that the inclusion of color beyond the LC+ approximation can be numerically important [9].…”

Section: Assembling the Showermentioning

confidence: 99%

“…There have been efforts to improve the accuracy of leading order parton shower programs by moving away from the leading color (LC) approximation in the treatment of QCD color [1][2][3][4][5][6][7][8][9]. For this effort to be consistent with quantum mechanics, one needs to work with bra and ket color amplitudes and to implement the color content of virtual graphs acting on these amplitudes [1,3,4,[7][8][9].…”

Section: Introductionmentioning

confidence: 99%

“…Then in Ref. [9] we applied this algorithm, as implemented in our program Deductor, to the problem of gaps [10][11][12][13][14][15][16][17][18][19][20][21][22][23] in the rapidity interval between two high transverse momentum jets. In this paper, we explore the possibility of exponentiating the contributions from the imaginary part of virtual graphs, which are proportional to iπ times a non-trivial color operator.…”

Section: Introductionmentioning

confidence: 99%

“…The iterative expansions of Eqs. (9) and (10) give U(t, t 0 ) as series in powers of ∆H(t), ∆V Re (t), and V iπ (t).…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Exponentiating virtual imaginary contributions in a parton shower

Nagy

Soper

2019

Phys. Rev. D

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The operator in a parton shower algorithm that represents the imaginary part of virtual Feynman graphs has a non-trivial color structure and is large because it is proportional to a factor of 4π. In order to improve the treatment of color in a parton shower, it may help to exponentiate this phase operator. We show that it is possible to do so by exponentiating matrices that are no larger than 14 × 14. Using the example of the probability to have a gap in the rapidity interval between two high transverse momentum jets, we test this exponentiation algorithm by comparing to the result of treating the phase operator perturbatively. We find that the exponentiation works, but that the net effect of the exponentiated phase operator is quite small for this problem, so that one can as well use the perturbative approach.

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Section: Resultsmentioning

confidence: 99%

Section: Assembling the Showermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The iterative expansions of Eqs. (9) and (10) give U(t, t 0 ) as series in powers of ∆H(t), ∆V Re (t), and V iπ (t).…”

Section: Introductionmentioning

confidence: 99%

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Exponentiating virtual imaginary contributions in a parton shower

Nagy

Soper

2019

Phys. Rev. D

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Higher-order non-global logarithms from jet calculus

Banfi

Dreyer²,

Monni

2022

J. High Energ. Phys.

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Non-global QCD observables are characterised by a sensitivity to the full angular distribution of soft radiation emitted coherently in hard scattering processes. This complexity poses a challenge to their all-order resummation, that was formulated at the leading-logarithmic order about two decades ago. In this article we present a solution to the long-standing problem of their resummation beyond this order, and carry out the first complete next-to-leading logarithmic calculation for non-global observables. This is achieved by solving numerically the recently derived set of non-linear differential equations which describe the evolution of soft radiation in the planar, large-Nc limit. As a case study we address the calculation of the transverse energy distribution in the interjet rapidity region in e+e−→ dijet production. The calculation is performed by means of an algorithm that we formulate in the language of jet-calculus generating functionals, which also makes the resummation technique applicable to more general non-global problems, such as those that arise in hadronic collisions. We find that NLL corrections are substantial and their inclusion leads to a significant reduction of the perturbative scale uncertainties for these observables. The computer code used in the calculations is made publicly available.

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Rings and strings: a basis for understanding subleading colour and QCD coherence beyond the two-jet limit

Forshaw

Holguin

Plätzer

2022

J. High Energ. Phys.

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Guided by the colour-diagonal structure of collinear singularities, we identify a set of kinematic basis functions that are well suited to the simplification of soft gluon emission amplitudes. In particular, these basis functions, which emerge naturally in the colour flow basis, isolate the subleading colour contributions and improve the statistical convergence of the CVolver amplitude-evolution code. They also allow us to extend current angular-ordered parton showers beyond the azimuthally-averaged, two-jet limit.

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Effect of color on rapidity gap survival

Cited by 13 publications

References 35 publications

Exponentiating virtual imaginary contributions in a parton shower

Exponentiating virtual imaginary contributions in a parton shower

Higher-order non-global logarithms from jet calculus

Rings and strings: a basis for understanding subleading colour and QCD coherence beyond the two-jet limit

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