arXiv subjects

Andrzej Czarnecki

Publications and source records attributed to Andrzej Czarnecki.

At least 109 records · Page 6Linked to original sources

arXiv2000

Expansion of bound-state energies in powers of m/M

We describe a new approach to computing energy levels of a non-relativistic bound-state of two constituents with masses M and m, by a systematic expansion in powers of m/M. After discussing the method, we demonstrate its potential with an example of the radiative recoil corrections to the Lamb shift and hyperfine splitting relevant for the hydrogen, muonic hydrogen, and muonium. A discrepancy between two previous calculations of O(alpha(Zalpha)^5 m^2/M) radiative recoil corrections to the Lamb shift is resolved and several new terms of O(alpha(Zalpha)^5 m^4/M^3) and higher are obtained.

hep-ph↗

arXiv2000

Anomalous magnetic moment of a bound electron

We study binding corrections to the gyromagnetic factor g_e of an electron in hydrogen-like ions. We argue that the leading order binding effects in radiative corrections Delta g_rad are universal to all orders in alpha/pi and the complete result reads Delta g_rad = (g_free - 2) [1+(Z alpha)^2/6] + O[alpha/pi (Zalpha)^4]. The theoretical uncertainty in the prediction for the experimentally interesting carbon ion is decreased by a factor of about 3.

hep-ph↗

arXiv2000

alpha^2 corrections to parapositronium decay: a detailed description

We present details of our recent calculation of alpha^2 corrections to the parapositronium decay into two photons. These corrections are rather small and our final result for the parapositronium lifetime agrees well with the most recent measurement. Implications for orthopositronium decays are briefly discussed.

hep-ph↗

arXiv2000

alpha^2 corrections to parapositronium decay

Two-loop QED corrections to the decay rate of parapositronium (p-Ps) into two photons are presented. We find Gamma(p-Ps --> 2 photons) = 7989.64(2)/microsec. The non-logarithmic O(alpha^2) corrections turn out to be small, contrary to some earlier estimates. We speculate that the so-called ``orthopositronium lifetime puzzle'' will not likely be solved by large QED corrections.

hep-ph↗

arXiv2000

Polarized Moller Scattering Asymmetries

The utility of polarized electron beams for precision electroweak studies is described. Parity violating Moller scattering asymmetries in e-e- --> e-e- are discussed. Effects of electroweak radiative corrections and the running sin^2(theta_W(Q^2)) are reviewed. The sensitivity of E158 (a fixed target e-e- experiment at SLAC) and future e-e- collider studies to ``new physics'' is briefly outlined.

hep-ph↗

arXiv1999

Positronium properties

This talk gives an elementary introduction to the basic properties of positronium. Recent progress in theoretical studies of the hyperfine splitting and lifetime of the ground state is reviewed. Sensitivity of these precisely measured quantities to some New Physics effects is discussed.

hep-ph↗

arXiv1999

Decays of Positronium

We briefly review the theoretical and experimental results concerning decays of positronium. Possible solutions of the "orthopositronium lifetime puzzle" are discussed. Positronium annihilation into neutrinos is examined and disagreement is found with previously published results.

hep-ph↗

arXiv1999

Muonium Decay

Modifications of the mu+ lifetime in matter due to muonium (M = mu+ e-) formation and other medium effects are examined. Muonium and free mu+ decay spectra are found to differ at O(alpha m_e/m_mu) from Doppler broadening and O(alpha^2 m_e/m_mu) from the Coulomb bound state potential. However, both types of corrections are shown to cancel in the total decay rate due to Lorentz and gauge invariance respectively, leaving a very small time dilation lifetime difference, (tau_M - tau_mu+)/tau_mu+ = alpha^2 m_e^2/ 2m_mu^2 \simeq 6\times 10^-10, as the dominant bound state effect. It is argued that other medium effects on the stopped mu+ lifetime are similarly suppressed.

hep-ph↗

arXiv1999

Recent results with heavy quarks and light lepton bound states

Recent results on second order quantum corrections to semileptonic decays of b quarks and positronium spectroscopy are reviewed. Similarities between calculations in these seemingly different problems are demonstrated. Technical aspects of solving systems of recurrence relations, and application of dimensional regularization to bound states are explained.

hep-ph↗

arXiv1999

Positronium S state spectrum: analytic results at O(m alpha^6)

We present an analytic calculation of the O(m alpha^6) recoil and radiative recoil corrections to energy levels of positronium nS states and their hyperfine splitting. A complete analytic formula valid to O(m alpha^6) is given for the spectrum of S states. Technical aspects of the calculation are discussed in detail. Theoretical predictions are given for various energy intervals and compared with experimental results.

hep-ph↗

arXiv1998

The muon anomalous magnetic moment in QED: three-loop electron and tau contributions

We present an analytic calculation of electron and tau O(alpha^3) loop effects on the muon anomalous magnetic moment. Computation of such three-loop diagrams with three mass scales is possible using asymptotic and eikonal expansions. An evaluation of a new type of eikonal integrals is presented in some detail.

hep-ph↗

arXiv1998

Lepton anomalous magnetic moments - a theory update

Standard Model contributions to the electron, muon, and tau lepton anomalous magnetic moments, a_l=(g_l-2)/2, are reviewed and updated. The fine structure constant is obtained from the electron g_e-2 and used to refine the QED contribution to the muon g_mu-2. Recent advances in electroweak and hadronic effects on g_mu-2 are summarized. Examples of ``New Physics'' probed by the a_mu Brookhaven experiment E821 are outlined. The prediction for a_tau is also given.

hep-ph↗

arXiv1998

Perturbative QCD calculations with heavy quarks

We review recent calculations of second order corrections to heavy quark decays. Techniques developed in this context are applicable to many processes involving heavy charged particles, for example the nonabelian dipole radiation. Calculations involving relativistic radiating particles are also discussed.

hep-ph↗

arXiv1998

Two-loop QCD corrections to top quark width

We present O(alpha_s^2) corrections to the decay t-->bW in the limit of a very large top quark mass, m_t >> m_W. We find that the O(alpha_s^2) effects decrease the top quark decay width Gamma_t by about 2%: Gamma_t = Gamma_0(1-0.8alpha_s(m_t)-1.7alpha_s^2). The complete corrections are smaller by about 24% than their estimate based on the BLM effects O(beta_0 alpha_s^2). We explain how to compute a new type of diagrams which contribute to Gamma(t --> bW) at the O(alpha_s^2) level.

hep-ph↗

arXiv1998

Electroweak radiative corrections to b --> s gamma

Two loop electroweak corrections to b --> s gamma decays are computed. Fermion and photonic loop effects are found to reduce R = BR(b --> s gamma)/BR(b --> c e nu) by 8+-2% and lead to the standard model prediction BR(B --> X_s gamma)=(3.28 +- 0.30)x10^-4 for inclusive B meson decays. Comparison of R^{theory} =(3.04 +- 0.25)x10^-3(1+0.10rho), where rho is a Wolfenstein CKM parameter, with the current experimental average R^{exp}=(2.52+-0.52)x10^-3 gives rho=-1.7+-1.9 which is consistent with -0.21<rho<0.27 obtained from other B and K physics constraints.

hep-ph↗

arXiv1998

Two-loop QCD corrections to semileptonic b decays at an intermediate recoil

We present complete O(alpha_s^2) corrections to the decay b-->c+l+nu at the point where the invariant mass of the leptons sqrt{q^2} equals the c quark mass. We use this result, together with previously obtained corrections at the ends of the q^2 spectrum, to estimate the total width of the semileptonic b-->c decay with O(alpha_s^2) accuracy, essential for the |V_{cb}| determination.

hep-ph↗

arXiv1998

Parity violating asymmetries at future lepton colliders

Parity violating left-right scattering asymmetries at future high energy e+e- and e-e- colliders are examined. The utility of two polarized beams for precision measurements is pointed out. Sensitivity to ``new'' short-distance physics is briefly discussed. Electroweak radiative corrections due to the running of sin^2(theta_W)(q^2) are exhibited.

hep-ph↗

arXiv1998

Coherent muon-electron conversion in muonic atoms

Transition rates for coherent muon-electron conversion in muonic atoms, mu+N --> e+N, are computed for various types of muon number violating interactions. Attention is paid to relativistic atomic effects, Coulomb distortion, finite nuclear size, and nucleon distributions. Discrepancies with previously published results are pointed out and explained. Results are presented for several elements of current and future experimental interest.

hep-ph↗