FeynCalc 9.3: New features and improvements

Shtabovenko, Vladyslav; Mertig, R.; Orellana, F.

doi:10.1016/j.cpc.2020.107478

Cited by 491 publications

(272 citation statements)

References 60 publications

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“…First one is to present a more simple way to obtain such an expression, as aforementioned papers dismiss a detailed discussion of the calculations. Second one is to cast the expression in a more compact form (A.11) which is more suitable for a treatment with computer algebra packages such as FeynCalc [40].…”

Section: Discussionmentioning

confidence: 99%

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One-loop effective scalar-tensor gravity

Latosh

2020

Eur. Phys. J. C

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Non-minimal interactions are proven to be generated at the one-loop level in simple scalar-tensor gravity models. The John interaction from the Fab Four class is generated. The interaction affects the speed of gravitational waves in the contemporary Universe. Its role in low-energy phenomenology is discussed. Brans-Dicke-like interaction is generated in a non-minimal model. An opportunity to generate a dynamic low-energy Newton constant is addressed.

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Section: Discussionmentioning

confidence: 99%

“…This feature can be easily illustrated with M (4) . If momenta of the external scalars p and q are not fixed on-shell, then the amplitude reads (evaluated with FeynCalc 9.3.0 [40], given up to terms with quadratic divergences):…”

Section: The Simplest Modelmentioning

confidence: 99%

One-loop effective scalar-tensor gravity

Latosh

2020

Eur. Phys. J. C

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“…[20] for γ 5 and the total anti-symmetric tensor µνρσ , 0123 = +1. The trace of Dirac matrices is evaluated using the FeynCalc package [21][22][23] and thus the output operator structures are also written in the language of this package.…”

Section: Jhep11(2020)078mentioning

confidence: 99%

The fermionic universal one-loop effective action

Ellis

Quevillon

Vuong

et al. 2020

J. High Energ. Phys.

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Recent development of path integral matching techniques based on the covariant derivative expansion has made manifest a universal structure of one-loop effective Lagrangians. The universal terms can be computed once and for all to serve as a reference for one-loop matching calculations and to ease their automation. Here we present the fermionic universal one-loop effective action (UOLEA), resulting from integrating out heavy fermions (Dirac or Majorana) with scalar, pseudo-scalar, vector and axial-vector couplings. We also clarify the relation of the new terms computed here to terms previously computed in the literature and those that remain to complete the UOLEA. Our results can be readily used to efficiently obtain analytical expressions for effective operators arising from heavy fermion loops [13].

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“…(2.30). We generate the one-loop amplitudes using FeynArts [101], manipulate them with FeynCalc [102][103][104], and reduce the relevant integrals to a set of master integrals using Reduze2 [105]. The calculation of the master integrals is straightforward and we collect the results in appendix A.…”

Section: The Hard Functions At Nlomentioning

confidence: 99%

Top quark pair production near threshold: single/double distributions and mass determination

Wang

et al. 2020

J. High Energ. Phys.

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We investigate top quark pair production near the threshold where the pair invariant mass M tt approaches 2m t , which provides sensitive observables to extract the top quark mass m t. Using the effective field theory methods, we derive a factorization and resummation formula for kinematic distributions in the threshold limit up to the next-toleading power, which resums higher order Coulomb corrections to all orders in the strong coupling constant. Our formula is similar to those in the literature but differs in several important aspects. We apply our formula to the M tt distribution, as well as to the double differential cross section with respect to M tt and the rapidity of the tt pair. We find that the resummation effects significantly increase the cross sections near the threshold, and lead to predictions better compatible with experimental data than the fixed-order ones. We demonstrate that incorporating resummation effects in the top quark mass determination can shift the extracted value of m t by as large as 1.4 GeV. The shift is much larger than the estimated uncertainties in previous experimental studies, and leads to a value of the top quark pole mass more consistent with the current world average.

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FeynCalc 9.3: New features and improvements

Cited by 491 publications

References 60 publications

One-loop effective scalar-tensor gravity

One-loop effective scalar-tensor gravity

The fermionic universal one-loop effective action

Top quark pair production near threshold: single/double distributions and mass determination

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