Abstract
The splitting processes of bremsstrahlung and pair production in a medium are coherent over large distances in the very high energy limit, which leads to a suppression known as the Landau-Pomeranchuk-Migdal (LPM) effect. Of recent interest is the case when the coherence lengths of two consecutive splitting processes overlap (which is important for understanding corrections to standard treatments of the LPM effect in QCD). In previous papers, we have developed methods for computing such corrections without making soft-gluon approximations. However, our methods require consistent treatment of canceling ultraviolet (UV) divergences associated with coincident emission times, even for processes with tree-level amplitudes. In this paper, we show how to use dimensional regularization to properly handle the UV contributions. We also present a simple diagnostic test that any consistent UV regularization method for this problem needs to pass.
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References
L.D. Landau and I. Pomeranchuk, Limits of applicability of the theory of bremsstrahlung electrons and pair production at high-energies, Dokl. Akad. Nauk Ser. Fiz. 92 (1953) 535 [INSPIRE].
L.D. Landau and I. Pomeranchuk, Electron cascade process at very high energies, Dokl. Akad. Nauk Ser. Fiz. 92 (1953) 735 [INSPIRE].
A.B. Migdal, Bremsstrahlung and pair production in condensed media at high-energies, Phys. Rev. 103 (1956) 1811 [INSPIRE].
P. Arnold and S. Iqbal, The LPM effect in sequential bremsstrahlung, JHEP 04 (2015) 070 [Erratum ibid. 09 (2016) 072] [arXiv:1501.04964] [INSPIRE].
P. Arnold, H.-C. Chang and S. Iqbal, The LPM effect in sequential bremsstrahlung 2: factorization, JHEP 09 (2016) 078 [arXiv:1605.07624] [INSPIRE].
R. Baier, Y.L. Dokshitzer, A.H. Mueller and D. Schiff, Medium induced radiative energy loss: equivalence between the BDMPS and Zakharov formalisms, Nucl. Phys. B 531 (1998) 403 [hep-ph/9804212] [INSPIRE].
B.G. Zakharov, Fully quantum treatment of the Landau-Pomeranchuk-Migdal effect in QED and QCD, JETP Lett. 63 (1996) 952 [Pisma Zh. Eksp. Teor. Fiz. 63 (1996) 906] [hep-ph/9607440] [INSPIRE].
B.G. Zakharov, Radiative energy loss of high-energy quarks in finite size nuclear matter and quark-gluon plasma, JETP Lett. 65 (1997) 615 [Pisma Zh. Eksp. Teor. Fiz. 65 (1997) 585] [hep-ph/9704255] [INSPIRE].
Wolfram Research Inc., Mathematica, version 10.4, Champaign IL U.S.A. (2014).
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ArXiv ePrint: 1606.08853
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Arnold, P., Chang, HC. & Iqbal, S. The LPM effect in sequential bremsstrahlung: dimensional regularization. J. High Energ. Phys. 2016, 100 (2016). https://doi.org/10.1007/JHEP10(2016)100
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DOI: https://doi.org/10.1007/JHEP10(2016)100