vestifmИзвестия Национальной академии наук Беларуси. Серия физико-математических наукProceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series1561-24302524-2415The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"10.29235/1561-2430-2020-56-4-436-448vestifm-551Research ArticleФИЗИКАPHYSICSСовременные методы расчета тормозного излучения в процессах взаимодействия элементарных частицModern methods of calculations of bremsstrahlung in the interaction of elementary particlesШершеньИ. А.ShershanI. A.

Шершень Иван Андреевич – магистр физико-математических наук, старший преподаватель кафедры теоретической физики и астрофизики физического факультета

пр. Независимости, 4, 220030, г. Минск

Ivan A. Shershan – Master of Physics and Mathematics, Seniour Lecturer of Department of Theoretical Physics and Astrophysics

4, Nezavisimosti Ave., 220030, Minsk

shershan@bsu.byШишкинаТ. В.ShishkinaT. V.

Шишкина Татьяна Викентьевна – доктор физико-математических наук, профессор, профессор кафедры теоретической физики и астрофизики физического факультета

пр. Независимости, 4, 220030, г. Минск

Tatiana V. Shishkina – Dr. Sc. (Physics and Mathematics), Professor, Professor of Department of Theoretical Physics and Astrophysics

4, Nezavisimosti Ave., 220030, Minsk

shishkina.tatiana.v@gmail.comБелорусский государственный университетБеларусьBelarusian State UniversityBelarus202031122020564436–448Copyright © Шершень И.А., Шишкина Т.В., 20202020Шершень И.А., Шишкина Т.В.Shershan I.A., Shishkina T.V.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://vestifm.belnauka.by/jour/article/view/551

Рассмотрена проблема расчета вклада тормозного излучения с использованием современных методов регуляризации расходимостей. В частности, проведен расчет мягкофотонного излучения в наиболее общем виде с использованием метода размерной регуляризации инфракрасных расходимостей. Описан общий алгоритм расчета жесткого тормозного излучения. Показано, что можно разделить вклад жесткого тормозного излучения на конечную и расходящуюся части. Расходящаяся часть может быть факторизована с вкладом исходного процесса в борновском приближении. Показано, что при удачном выборе кинематических переменных возможен аналитический ковариантный расчет расходящейся части жесткого тормозного излучения. В частном случае приведен алгоритм определения кинематических ограничений на используемые инварианты. Проведен численный анализ вклада радиационных поправок для процессов рождения калибровочных бозонов в случае электрон-фотонных столкновений. Обнаружено, что вклад конечной части излучения тормозных фотонов при высоких энергиях столкновений достигает 20 % и обязательно должен учитываться в расчетах радиационных поправок. Полученные результаты можно применять в различного рода расчетах, в том числе и в ковариантном виде, производимых в контексте подтверждения теоретических предсказаний Стандартной модели или поиска проявлений альтернативных калибровочных моделей.

. The problem of real bremsstrahlung calculation is considered using the modern methods of regularization of divergencies. In particular, we calculate soft photon bremsstrahlung in the most general form using the method of dimensional regularization of infrared divergences. The general calculation algorithm of hard photon bremsstrahlung is described. It is shown that the contribution of hard bremsstrahlung can be separated into the finite and divergent parts. The divergent part can be factorized with the contribution of the initial process in the Born approximation. It is shown that a good choice of kinematic variables makes an analytic covariant calculation of the divergent part of the hard bremsstrahlung possible. In a particular case, an algorithm for determining the kinematic constraints on the invariants is described. A numerical analysis of the radiative corrections for gauge bosons production processes in the case of electron-photon collisions is performed. It is discovered that the contribution of the finite part of bremsstrahlung at high collision energies reaches 20 per cent and must be taken into account in calculations of radiative corrections. The results obtained can be used in various calculations, including covariant ones, performed in the context of confirmation of the Standard Model theoretical predictions or searching for manifestations of alternative gauge models.

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The authors declare that there are no conflicts of interest present.