Two-loop QED radiative corrections to the decay π0 → e+e-: the virtual corrections and soft-photon bremsstrahlung

被引：28

作者：

Vasko, Petr ^{[1
]}

Novotny, Jiri ^{[1
]}

机构：

[1] Charles Univ Prague, Inst Particle & Nucl Phys, Fac Math & Phys, CZ-18000 Prague 8, Czech Republic

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2011年 / 10期

关键词：

NLO Computations; Chiral Lagrangians; CHIRAL PERTURBATION-THEORY; DIFFERENTIAL-EQUATIONS METHOD; MASTER INTEGRALS; PSEUDOSCALAR MESON; FORM-FACTORS; RARE DECAYS; QCD; MODEL; MASS; DIAGRAMS;

D O I：

10.1007/JHEP10(2011)122

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

This paper is devoted to the two-loop QED radiative corrections to the decay pi(0) -> e(+)e(-). We compute the virtual corrections without using any approximation and we take into account all the relevant graphs with the inclusion of those omitted in the previous approximative calculations. The bremsstrahlung is then treated within the soft photon approximation. We concentrate on the technical aspects of the calculation and discuss in detail the UV renormalization and the treatment of IR divergences within the dimensional regularization. As a result we obtain the O(alpha(3)p(2)) contribution in closed analytic form. We compare the exact two-loop results with existing approximative calculations of QED corrections and find significant disagreement in the kinematical region relevant for the KTeV experiment.

引用

页数：76

共 63 条

[1] Measurement of the rare decay π0→e+e- [J].

Abouzaid, E. ;

Arenton, M. ;

Barker, A. R. ;

Bellantoni, L. ;

Bellavance, A. ;

Blucher, E. ;

Bock, G. J. ;

Cheu, E. ;

Coleman, R. ;

Corcoran, M. D. ;

Cox, B. ;

Erwin, A. R. ;

Escobar, C. O. ;

Glazov, A. ;

Golossanov, A. ;

Gomes, R. A. ;

Gouffon, P. ;

Hanagaki, K. ;

Hsiung, Y. B. ;

Huang, H. ;

Jensen, D. A. ;

Kessler, R. ;

Kotera, K. ;

Ledovskoy, A. ;

McBride, P. L. ;

Monnier, E. ;

Nelson, K. S. ;

Nguyen, H. ;

Niclasen, R. ;

Phillips, D. G., II ;

Ping, H. ;

Qi, X. R. ;

Ramberg, E. J. ;

Ray, R. E. ;

Ronquest, M. ;

Santos, E. ;

Shields, J. ;

Slater, W. ;

Smith, D. ;

Solomey, N. ;

Swallow, E. C. ;

Toale, P. A. ;

Tschirhart, R. ;

Velissaris, C. ;

Wah, Y. W. ;

Wang, J. ;

White, H. B. ;

Whitmore, J. ;

Wilking, M. J. ;

Winstein, B. .

PHYSICAL REVIEW D, 2007, 75 (01)

[2] PI(0)-]E(+)E(-) AND ETA-]MU(+)MU(-) DECAYS REEXAMINED [J].

AMETLLER, L ;

BRAMON, A ;

MASSO, E .

PHYSICAL REVIEW D, 1993, 48 (07) :3388-3391

[3]

Anastasiou C, 2004, J HIGH ENERGY PHYS

[4] Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop [J].

Anastasiou, Charalampos ;

Beerli, Stefan ;

Bucherer, Stefan ;

Daleo, Alejandro ;

Kunszt, Zoltan .

JOURNAL OF HIGH ENERGY PHYSICS, 2007, (01)

[5] The analytic value of the sunrise self-mass with two equal masses and the external invariant equal to the third squared mass [J].

Argeri, M ;

Mastrolia, P ;

Remiddi, E .

NUCLEAR PHYSICS B, 2002, 631 (1-2) :388-400

[6] Measurement of the γγ* → π0 transition form factor [J].

Aubert, B. ;

Karyotakis, Y. ;

Lees, J. P. ;

Poireau, V. ;

Prencipe, E. ;

Prudent, X. ;

Tisserand, V. ;

Garra Tico, J. ;

Grauges, E. ;

Martinelli, M. ;

Palano, A. ;

Pappagallo, M. ;

Eigen, G. ;

Stugu, B. ;

Sun, L. ;

Battaglia, M. ;

Brown, D. N. ;

Kerth, L. T. ;

Kolomensky, Yu. G. ;

Lynch, G. ;

Osipenkov, I. L. ;

Tackmann, K. ;

Tanabe, T. ;

Hawkes, C. M. ;

Soni, N. ;

Watson, A. T. ;

Koch, H. ;

Schroeder, T. ;

Asgeirsson, D. J. ;

Fulsom, B. G. ;

Hearty, C. ;

Mattison, T. S. ;

McKenna, J. A. ;

Barrett, M. ;

Khan, A. ;

Randle-Conde, A. ;

Blinov, V. E. ;

Bukin, A. D. ;

Buzykaev, A. R. ;

Druzhinin, V. P. ;

Golubev, V. B. ;

Onuchin, A. P. ;

Serednyakov, S. I. ;

Skovpen, Yu. I. ;

Solodov, E. P. ;

Todyshev, K. Yu. ;

Bondioli, M. ;

Curry, S. ;

Eschrich, I. ;

Kirkby, D. .

PHYSICAL REVIEW D, 2009, 80 (05)

[7]

BEHREND HJ, 1991, Z PHYS C PART FIELDS, V49, P401, DOI 10.1007/BF01549692

[8] RADIATIVE-CORRECTIONS TO PSEUDOSCALAR MESON DECAYS [J].

BERGSTROM, L .

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1983, 20 (02) :135-140

[9] Q2 DUALITY AND RARE PION DECAYS [J].

BERGSTROM, L ;

MASSO, E ;

AMETLLER, L ;

BRAMON, A .

PHYSICS LETTERS B, 1983, 126 (1-2) :117-121

[10] RARE DECAY OF A PSEUDOSCALAR MESON INTO A LEPTON PAIR - A WAY TO DETECT NEW INTERACTIONS [J].

BERGSTROM, L .

ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1982, 14 (02) :129-134

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