Status of Radio MonteCarLow and Strong2020 $e^+e^-$ database activities

The paper describes the activity of the working group on the
"Radiative Corrections and Monte Carlo Generators for Low Energies" (Radio MontecarLow) during last 15 years. The Radio MontecarLow group efforts resulted in the development and cross checks of the high accuracy MC generators for low energy e+ e- processes. While the accuracy of the MC generators (BHWIDE, BabaYaga) for QED processes, like e+ e- -> e+ e-, mu+ mu-, gamma gamma, already reaches 0.1% level, there is a big challenge to improve the existing MC generators (EVA, AFKQED, PHOKHARA, MCGPJ) for the e+ e- -> hadrons processes, like e+ e- -> pi+ pi- (gamma), and reach similar 0.1% level. For that heavy NNLO calculations are needed for the processes under interest taking properly the effects of ISR, FSR and multiloop virtual corrections.
The other activity of the Radio MontecarLow group have been included as a Joint Research Initiative in the application of the European hadron physics community to the European Union (STRONG2020). It concerns the creation and support of an annotated database for low-energy hadronic cross sections in e+ e- collisions.
The paper discusses the motivation to create the PrecisionSM database
(evaluation of the hadronic contribution to the anomalous magnetic moment of muon), as well as briefly describes the structure and main tools of PrecisionSM.

1) page 3, line 6 up from the end of Sec.2:

VEP-2000 --> VEPP-2000

2) page 3, line 7 up from the end of Sec.2:

The sentence:

"Better data were produced at fixed energy ... at fixed beam energy."

can be misleading for the uninformed reader.

Namely, CMD3 and SND at VEPP-2000 are ENERGY SCAN experiments,
they don't stand and collect statistics at the fixed beam energy like KLOE
or BABAR did.
Instead, CMD-3 and SND collect the data in the wide c.m.s.
energy range 2E = 0.3 -- 2.0 GeV.

I'd suggest author to write this sentence more clear.

3) page 3, line 2 from the beginning of Sec.3:

Please, add VEPP-2000 to the mentioned list of e+ e- colliders: VEPP-2M,
DAFNE, BEPC, PEP-II, KEKB.

4) page 5, Table 2:

EVA string: e+ e- pi+ pi- gamma --> e+ e- -> pi+ pi- gamma (arrow is
missed)
also here: O(%) -> O(1%)

AFKQED string: "Depends on event section" - unclear
may be "Depends on event selection" ?

Is it possible to specify at least the diapason of precisions
for this generator ?

KKMC string: The claim: "High accuracy only for muon pairs" is unclear ?

What do you mean here ? The e+ e- -> lep+ lep- gamma production cross
section only or you also include the accuracy of the simulation of the
further lep+/lep- decays ? If only lep+ lep- production is implied,
so the e+ e- -> tau+ tau- gamma has the same accuracy as
e+ e- -> mu+ mu- gamma and it is better than 1%.

I think it is reasonable for KKMC to put "<1%" for the accuracy of the
simulation of e+ e- -> lep+ lep- gamma, lep = mu, tau.