Heavy Quark Vacuum Polarisation to Three Loops

نویسندگان

  • K. G. Chetyrkin
  • J. H. Kühn
  • M. Steinhauser
چکیده

The real and imaginary part of the vacuum polarisation function Π(q2) induced by a massive quark is calculated in perturbative QCD up to order αs. The method is described and the results are presented. This extends the calculation by Källén and Sabry from two to three loops. The complete postscript file of this preprint, including figures, is available via anonymous ftp at ttpux2.physik.uni-karlsruhe.de (129.13.102.139) as /ttp95-41/ttp95-41.ps or via www at http://wwwttp.physik.uni-karlsruhe.de/cgi-bin/preprints/ Report-no: TTP95-41. † Work supported by BMFT under Contract 056KA93P6, DFG under Contract Ku502/6-1 and INTAS under Contract INTAS-93-0744.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Heavy-quark QCD vacuum polarisation function: analytical results at four loops

Fully analytical results for the first two moments of the heavy-quark vacuum polarisation function at four loops in quantum chromo-dynamics are presented. PACS: 12.38.-t, 12.38.Bx, 13.66.Bc, 13.85.Lg ∗Permanent address: Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna (Moscow region), Russia.

متن کامل

Unitarity constraints on the B and B* form factors from QCD analyticity and heavy quark spin symmetry.

A method of deriving bounds on the weak meson form factors, based on perturbative QCD, analyticity and unitarity, is generalized in order to fully exploit heavy quark spin symmetry in the ground state (L = 0) doublet of pseudoscalar (B) and vector (B) mesons. All the relevant form factors of these mesons are taken into account in the unitarity sum. They are treated as independent functions alon...

متن کامل

Heavy - quark vacuum polarization : first two moments of the O ( α 3 s n 2 f ) contribution

The vacuum polarization due to a virtual heavy quark pair and specifically the coefficients of its Taylor expansion in the external momentum are closely related to moments of the cross section for quarkantiquark pair production in electron-positron annihilation. Relating measurement and theoretically calculated Taylor coefficients, an accurate value for charmand bottom-quark mass can be derived...

متن کامل

Modeling Magnetic Field in Heavy ion Collisions Using Two Different Nuclear Charge Density Distributions

By studying the properties of matter during heavy-ion collisions, a better understanding of the Quark-Gluon plasma is possible. One of the main areas of this study is the calculation of the magnetic field, particularly how the values of conductivity affects this field and how the field strength changes with proper time. In matching the theoretical calculations with results obtained in lab, two diffe...

متن کامل

Decoupling of heavy quarks in HQET

Decoupling of c-quark loops in b-quark HQET is considered. The decoupling coefficients for the HQET heavy-quark field and the heavy–light quark current are calculated with the three-loop accuracy. The last result can be used to improve the accuracy of extracting fB from HQET lattice simulations (without c-quark loops). The decoupling coefficient for the flavour-nonsinglet QCD current with n ant...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1995