Two loop QCD amplitudes for di-pseudo scalar production in gluon fusion

Bhattacharya, Arunima; Mahakhud, Maguni; Mathews, Prakash; Ravindran, V.

doi:10.1007/jhep02(2020)121

Cited by 14 publications

(8 citation statements)

References 68 publications

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“…Through explicit computation of the FFs, we discover that there is no such contact divergence in the case of double half-BPS or Konishi operators, and therefore, we do not need any additional UV counterterm. The absence of contact divergences for the two operator insertion is also found for the production of di-pseudoscalar in heavy quark effective theory [64,65] and di-Higgs boson in bottom quark annihilation [66].…”

Section: Computation Of Two-loop Form Factorsupporting

confidence: 52%

Form factors with two operator insertions and the principle of maximal transcendentality

et al. 2020

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We present the first calculations of two-point two-loop form factors (FFs) with a two identical operators insertion in maximally supersymmetric Yang-Mills theory. In this article, we consider the supersymmetry protected half-BPS primary and unprotected Konishi operators. Unlike the FFs of a single operator insertion of the half-BPS primary, the FFs involving two half-BPS operators are found to contain lower transcendentality weight terms in addition to the highest ones. Moreover, in contrast to Sudakov FFs, the highest weight terms of the FFs of a double half-BPS no longer match with that of a double Konishi. We also find that the principle of maximal transcendentality, which dictates the presence of identical highest weight terms in the scalar FFs of half-BPS and quark/gluon FFs in QCD, does not hold true anymore for insertions of two identical operators. We discover the absence of any additional ultraviolet counterterm that could arise from the contact interaction between two composite operators.

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Section: Computation Of Two-loop Form Factorsupporting

confidence: 52%

Form factors with two operator insertions and the principle of maximal transcendentality

et al. 2020

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“…Interestingly, similar to the case of di-scalar Higgs boson, we find that we do not need any additional renormalisation arising from the contact terms owing to the product of operators at a short distance. For the gluonic channel, its absence is shown both from the operator product expansion [56] and direct two-loop calculation [55]. In the next section, we talk about the infrared structure of the UV renormalised FF and subsequently the behaviour of finite remainders.…”

Section: Jhep01(2022)189mentioning

confidence: 97%

“…The first step to go beyond the NLO was attempted in ref. [55] where the two-loop QCD correction for the production of di-pseudo-scalar through gluon fusion was achieved. In this article, we address the computation in the quark annihilation channel in the heavy top limit up to two loops.…”

Section: Jhep01(2022)189mentioning

confidence: 99%

Two-loop amplitudes for di-Higgs and di-pseudo-Higgs productions through quark annihilation in QCD

Ahmed

Ravindran

Sankar

et al. 2022

J. High Energ. Phys.

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Through this article, we present the two-loop massless QCD corrections to the production of di-Higgs and di-pseudo-Higgs boson through quark annihilation in the large top quark mass limit. Within dimensional regularisation, we employ the non-anticommuting γ5 and treat it under the Larin prescription. We discover the absence of any additional renormalisation, so-called contact renormalisation, that could arise from the short distance behaviour of two local operators. This finding is in corroboration with the operator product expansion. By examining the results, we discover the lack of similarity in the highest transcendentality weight terms between these finite remainders and that of a pair of half-BPS primary operators in maximally supersymmetric Yang-Mills theory. We need these newly computed finite remainders to calculate observables involving di-Higgs or di-pseudo- Higgs at the next-to-next-to-leading order. We implement the results to a numerical code for further phenomenological studies.

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“…As can be seen, Z A g = Z GG where Z GG is the renormalization constant for O G operators which have been discussed in detail in [38,75].…”

Section: A Operator Renormalization Constantmentioning

confidence: 99%

Next to SV resummed prediction for pseudoscalar Higgs boson production at NNLO$+\overline{\text{NNLL}}$

Bhattacharya,

Kumar,

Mathews

et al. 2021

Preprint

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We present first results on the resummation of Next-to-Soft Virtual (NSV) logarithms for the threshold production of pseudoscalar higgs boson through gluon fusion at the LHC. These results are presented after resumming the NSV logarithms of the kind log i (1 − z) to NNLL accuracy and match them systematically to the fixed order NNLO cross-sections. These results are obtained using collinear factorization, renormalization group invariance and recent developments in NSV resummation techniques. The phenomenological implications of these NSV resummed results for 13 TeV LHC are studied and it is observed that these NSV logarithms are quite large. We also study theory uncertainties and find that the renormalization scale uncertainties get reduced further with the inclusion of NSV corrections at various orders in QCD.

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Two loop QCD amplitudes for di-pseudo scalar production in gluon fusion

Cited by 14 publications

References 68 publications

Form factors with two operator insertions and the principle of maximal transcendentality

Form factors with two operator insertions and the principle of maximal transcendentality

Two-loop amplitudes for di-Higgs and di-pseudo-Higgs productions through quark annihilation in QCD

Next to SV resummed prediction for pseudoscalar Higgs boson production at NNLO$+\overline{\text{NNLL}}$

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