Dear Guido, thank you very much, i'm glad you liked it. Here are a few more simple suggestions for other parts of the draft. Sorry for the delay, i had some problems at home (the roof!). All the best, Massimo --------------------------------------------------------------------- 4,R,1,1 (page 4, right, paragraph 1, line 1) drawn --> discussed 35,L,1,9 alpha(M_Z) --> alpha(M_Z^2) 35,L,1,10 a^mu --> a_mu 35,L,2,11 "The dominant uncertainties in both quantities are due to the effects of hadronic vacuum polarisation which cannot be reliably calculated in the low energy region. Due to this fact alpha(MZ) remains known with the least precision among all the SM parameters in the electroweak sector. The uncertainty in the QED coupling becomes crucial in many tests of the Standard Model. In particular..." --> "In both quantities the dominant uncertainties arise from the hadronic vacuum polarisation effects which cannot be reliably calculated in the low energy region. As we briefly discussed in Section 1, the uncertainty in alpha(M_Z^2) becomes crucial in many tests of the SM. In particular..." 35,L,3,3 "between the BNL experimental result [23] and the predicted theoretical value of a_mu in the frame of the Standard Model" --> "between the muon g-2 BNL experimental result [23] and the SM prediction" 35,L,3,6 a_mu^had --> a_mu^SM 35,R,1,Eq.(84) "R \equiv R(s) =" --> "R(s) =" 35,R,4, 3 times: "a^had" --> "a^HLO" [check consistency all over the report]. 35,R,4, Eq.(85) Inconsistent lower bound: 4m_pi^2 --> m_pi^2. Also, the function K(s) differs from that introduced earlier in Eq.(2). Probably better to drop Eq.(85). 37,L,1,Eq.(94) The dilog is not defined. After Eq.(94) add: "where ${\rm Li}_2(z)=-\int_0^z dt \ln(1-t)/t$ is the dilogarithm and.." 38,R, 3 lines from bottom: "have to by" --> "have to be" 39,L, line before Eq.(104) The references should be [275,276,277] instead of [276,277]. Also, Ref.[275] should be replaced by: "J.S.~Schwinger, ``Particles, sources, and fields'', Vol.~3 (Redwood City, USA: Addison-Wesley (1989), p.~99. See also M.~Drees and K.i.~Hikasa, Phys.\ Lett.\ B {\bf 252}, 127 (1990), %%CITATION = PHLTA,B252,127;%% where a misprint in Schwinger's formula is corrected." 54,L, line after Eq.(160): "where Li_2 is the Spence or dilogarithm function" --> "where Li_2 is the dilogarithm defined below Eq.(94)" 80,R,5th line of section 5.11 "one from another" --> "from one another" 81,R,Title of Section 5.14 "Perspectives" --> "Prospects". Also, 4 lines below: "of g-2" --> "of the muon g-2" 88,R, 7 lines from bottom: "the energies of up to a few GeV" --> "energies up to a few GeV" 89,L,2,3 emphasise --> emphasis 89,R,2,6 "to g-2" --> "to the muon g-2" ----------------------------------------------------------------- Guido Montagna wrote: > Dear Massimo, > > sorry for my late feedback. Personally, I liked your input about the > Introduction, as in change.pdf, very much, as it strengthen the motivation > for precision sigma_had measurements at low energies. I'll keep in touch > with Graziano and Henryk to implement it accordingly. > > If you have further comments, as you write in your email, please send them > asap, since we have in mind to implement all the remarks received within a > couple of days to arrive at the very final, ultimate version. > > Thanks, ciao > > Guido > >> Dear Graziano, Guido and Henryk, >> >> I am sending you part of my comments and suggestions on the draft, >> starting from the two-page "Introduction". >> >> As, for these first two pages, Graziano also inspired himself from some >> of the parts I wrote for our common paper on e+e- physics in Frascati, I >> dare suggest here a non-negligible number of modifications and >> improvements. Here they are: >> >> 1,L,1,6 (page 1, left, paragraph 1, line 6) >> >> between the measurements --> between the precise measurements >> >> 1,L,1,11 >> >> and there are strong theoretical arguments hinting at the presence of >> physics beyond the SM. --> >> >> and there are clear phenomenological facts (dark matter, >> matter-antimatter asymmetry in the universe) as well as strong >> theoretical arguments hinting at the presence of physics beyond the SM. >> >> 1,L,2,4 >> >> "is the fine-structure constant alpha which depends logarithmically on >> the energy scale. It has been determined at zero momentum transfer with >> an impressive accuracy of 0.37 parts per billion (ppb) [1] from the mea- >> surement of the anomalous electron magnetic moment [1], relying on the >> validity of perturbative QED." --> >> >> "is the fine-structure constant alpha, determined from the anomalous >> magnetic moment of the electron with an impressive relative precision of >> 0.37 parts per billion (ppb) [1] relying on the validity of perturbative >> QED [2]." >> >> Then add [2], the reference to Kinoshita, in the bibliography: >> >> G.~Gabrielse, D.~Hanneke, T.~Kinoshita, M.~Nio and B.C.~Odom, >> %``New Determination of the Fine Structure Constant from the Electron >> % g Value and QED,'' >> Phys.\ Rev.\ Lett.\ {\bf 97}, 030802 (2006); >> {\bf 99}, 039902 (2007) (E) >> >> 1,R,1,3 >> >> There are several points here. Also, some definitions are missing. I >> propose to replace the piece starting from "At the M_Z scale the..." and >> ending with "prediction of the Higgs mass." with the PDF file in >> attachment. This would uniform the notation and introduce the missing >> definitions. Also, given the importance of Delta_alpha in the context of >> this report, I added a few introductory lines explaining its relevance >> for the SM phenomenology. I hope you'll like them. Please see the >> attachment change.pdf (also in latex: change.tex). >> >> >> 2,L, Eq.(3) >> >> a_mu^had --> a_mu^HLO >> >> 2,L,2,3 >> >> uses the result in --> uses the hadronic light-by-light result of >> >> 2,L,2,10 >> >> a_mu --> a_mu^SM >> >> 2,L,2,13 >> >> proposed experiments of the measurement of a_mu --> >> proposed muon g-2 experiments >> >> 2,R,1,2 >> >> accuray --> accuracy >> >> 2,R,7,2&5 >> >> a_mu^had --> a_mu^HLO >> >> 2,R, 4 lines from bottom >> >> perspectives --> prospects >> >> >> ----------------------------------------------------------------- >> >> I actually have some more comments on other parts of the draft. I'll >> send them to you by tomorrow night, in case you still want to consider >> them. >> >> Thanks for all your work! >> >> All the best, Massimo >>