CCCarl E. Carlson

Carl E. Carlson

*This is an algorithmically generated author record based on publicly available information.

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Previous Organizations / Institutes

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Carl E. Carlson has a total of 24 co-authors. Here are the top co-authors by number of shared publications:


Latest Publications

  • Open Access

    Superkicks and momentum density tests via micromanipulation

    by Andrei Afanasev, Carl E. Carlson, Asmita Mukherjee

    There is an unsettled problem in choosing the correct expressions for the local momentum density and angular momentum density of electromagnetic fields (or indeed, of any non-scalar field). If one only examines plane waves, the problem is moot, as the known possible expressions all give the same result. The momentum and angular momentum density expressions are generally obtained from the energy-momentum tensor, in turn obtained from a Lagrangian. The electrodynamic expressions obtained by the canonical procedure are not the same as the symmetric Belinfante reworking. For the interaction of matter with structured light, for example, twisted photons, this is important; there are drastically different predictions for forces and angular momenta induced on small test objects. We show situations where the two predictions can be checked, with numerical estimates of the size of the effects.

  • Open Access

    Lattice corrections to the quark quasidistribution at one loop

    by Carl E. Carlson, Michael Freid

    We calculate radiative corrections to the quark quasidistribution in lattice perturbation theory at one loop to leading orders in the lattice spacing. We also consider one-loop corrections in continuum Euclidean space. We find that the infrared behavior of the corrections in Euclidean and Minkowski space are different. We explore features of momentum loop integrals and demonstrate why loop corrections from the lattice perturbation theory and Euclidean continuum do not correspond with their Minkowski brethren, and comment on a recent suggestion for transcending the differences in the results. Further, we examine the role of the lattice spacing a and of the r parameter in the Wilson action in these radiative corrections.


  • Open Access

    Lattice corrections to the quark quasidistribution at one-loop

    by Carl E. Carlson, Michael Freid

    We calculate radiative corrections to the quark quasidistribution in lattice perturbation theory at one loop to leading orders in the lattice spacing. We also consider one-loop corrections in continuum Euclidean space. We find the infrared behavior of the corrections in Euclidean and Minkowski space are different. We explore features of momentum loop integrals and demonstrate why loop corrections from the lattice perturbation theory and Euclidean continuum do not correspond with their Minkowski brethren, and comment on a recent suggestion for transcending the differences in the results. Further, we examine the role of the lattice spacing $a$ and of the $r$ parameter in the Wilson action in these radiative corrections.

  • Open Access

    Two-photon exchange correction to2S−2Psplitting in muonicHe3ions

    by Carl E. Carlson, Mikhail Gorchtein, Marc Vanderhaeghen

    We calculate the two-photon exchange correction to the Lamb shift in muonic He3 ions within the dispersion relations framework. Part of the effort entailed making analytic fits to the electron-He3 quasielastic scattering data set, for purposes of doing the dispersion integrals. Our result is that the energy of the 2S state is shifted downwards by two-photon exchange effects by 15.14(49) meV, in good accord with the result obtained from a potential model and effective field theory calculation.


  • Open Access

    Two-photon exchange correction to $2S$-$2P$ splitting in muonic helium-3 ions

    by Carl E. Carlson, Mikhail Gorchtein, Marc Vanderhaeghen

    We calculate the two-photon exchange correction to the Lamb shift in muonic helium-3 ions within the dispersion relations framework. Part of the effort entailed making analytic fits to the electron-$^3$He quasielastic scattering data set, for purposes of doing the dispersion integrals. Our result is that the energy of the 2$S$ state is shifted downwards by two-photon exchange effects by 15.14(49) meV, in good accord with the result obtained from a potential model and effective field theory calculation.

  • Open Access

    Extending theories on muon-specific interactions

    by Carl E. Carlson, Michael Freid

    The proton radius puzzle, the discrepancy between the proton radius measured in muonic hydrogen and electronic hydrogen, has yet to be resolved. There are suggestions that beyond-the-standard-model physics could resolve both this puzzle and the muon anomalous magnetic moment discrepancy. Karshenboim et al. point out that simple, nonrenormalizable, models in this direction involving new vector bosons have serious problems when confronting high energy data. The prime example is radiative corrections to W→μν decay which exceed experimental bounds. We show how embedding the model in a larger and arguably renormalizable theory restores gauge invariance of the vector particle interactions and controls the high energy behavior of decay and scattering amplitudes. Thus, beyond-the-standard-model explanations of the proton radius puzzle can still be viable.


  • Open Access

    Cottingham formula for the electromagnetic self-energy contribution to Mp - Mn

    by André Walker-Loud, Carl E Carlson, Gerald A Miller, Cottingham Formula

    We provide an update of the determination of the electromagnetic self-energy contribution to M p-M n based upon Cottingham's Formula. A technical oversight in the literature is uncovered: the application of the Cottingham Formula requires the use of a subtracted dispersion integral; an argument to evade the subtraction function was presented; the argument was based on false assumptions about the scaling violations of the parton model, a point first mentioned by J. C. Collins. We elucidate this point and utilize low-energy effective theory to relate the unknown subtraction function to the nucleon isovector magnetic polarizability. This allows us to provide the first reliable determination of δ M γ = 1.30(03)(47) MeV [1].


  • Open Access

    Cottingham formula for the electromagnetic self-energy contribution to M_p - M_n

    by Andre Walker-Loud, Carl E. Carlson, Gerald A. Miller

    We provide an update of the determination of the electromagnetic self-energy contribution to M_p - M_n based upon Cottingham's Formula. A technical oversight in the literature is uncovered: the application of the Cottingham Formula requires the use of a subtracted dispersion integral; an argument to evade the subtraction function was presented; the argument was based on false assumptions about the scaling violations of the parton model, a point first mentioned by J. C. Collins. We elucidate this point and utilize low-energy effective theory to relate the unknown subtraction function to the nucleon isovector magnetic polarizability. This allows us to provide the first reliable determination of dM = 1.30(03)(47) MeV [1].

  • Diquark correlations from nucleon charge radii

    by Carl E. Carlson, Christopher D. Carone, Herry J. Kwee, Richard F. Lebed