Yi Jiang

University of Science and Technology of China

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Zhang Ren-You

University of Science and Technology of China

Wen-Gan Ma

University of Science and Technology of China

L. Han

University of Science and Technology of China

Xiaofeng Wang

Chinese Academy of Sciences

Xue–Qian Li

Soochow University

Pan-Feng Li

Ming-Ming Long

Karlsruhe Institute of Technology

Wen-Jie He

Heilongjiang University of Chinese Medicine

L. Han

University of Science and Technology of China

Gang Li

Shanghai Jiao Tong University

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University of Science and Technology of China

Chinese Academy of Sciences

China Electronics Technology Group Corporation

Nanjing University

Columbia University

University of California, Santa Cruz

University of Adelaide

Harbin Institute of Technology

Qufu Normal University

Dalian University of Technology

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Two-loop planar master integrals for NNLO QCD corrections to W-pair production in quark-antiquark annihilation

arXiv (Cornell University) (2024)

Wen-Jie He Zhang Ren-You L. Han Yi Jiang Zhe Li

The planar two-loop scalar Feynman integrals contributing to the massive NNLO QCD corrections for $W$-boson pair production via quark-antiquark annihilation can be classified into three family branches, each of which is reduced to a distinct set of master integrals (MIs), totaling $27$, $45$ and $15$, respectively. These MIs are analytically calculated using the method of differential equations, with solutions expanded as Taylor series in the dimensional regulator $\epsilon$. For the first two family branches, the differential systems can be successfully transformed into canonical form by adopting appropriate bases of MIs. This enables the MIs of these family branches to be expressed either as Goncharov polylogarithms (GPLs) or as one-fold integrals over GPLs, up to $\mathcal{O}(\epsilon^4)$. In contrast, the differential system for the third family branch can only be cast into a form linear in $\epsilon$ due to the presence of elliptic integrals. The solution to this linear-form differential system is expressed in an iterated form owing to the strictly lower-triangular structure of the coefficient matrices at $\epsilon = 0$. Our analytic expressions for these MIs are verified with high accuracy against the numerical results from the \texttt{AMFlow} package.

Annihilation

Pair production

10.48550/arxiv.2409.08879

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Two-loop master integrals for the single top production associated with $W$ boson

arXiv (Cornell University) (2021)

Ming-Ming Long Zhang Ren-You Wen-Gan Ma Yi Jiang L. Han

The $tW$ associated production has the second-largest cross section among three single top production channels. A complete study of NNLO QCD corrections to $tW$ production is still missing in literature. We present the calculation of part of the requisite two-loop master integrals for the process $b+g \to t+W$ at NNLO QCD. It turns out that the 80 master integrals in two families, involving up to three massive internal lines, can be expressed by Goncharov polylogarithms. The canonical differential equations that these integrals obey contain at most three square roots. By separating the canonical master integrals into groups according to their dependences on roots, we succeed in achieving optimization of final expressions, which are validated by independent numerical checks.

10.48550/arxiv.2111.14172

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The Annihilation decays $B^-_{c} \to \eta^\prime$($\eta$, $\pi^0$ ) $\ell^{-} \bar{\nu}$

arXiv (Cornell University) (2006)

Gang Li Zhang Ren-You Wen-Gan Ma Yi Jiang Liang Han

We investigate the semileptonic OZI-forbidden annihilation decays B{sub c}{sup -}{yields}{eta}{sup '}({eta},{pi}{sup 0})l{sup -}{nu} for l={mu},e in the perturbative QCD, and carry out a precise calculation without any approximation for the one-loop contributions, which involves integrals of 4- and 5-point loop functions. Our results show that the branching ratios of decays B{sub c}{sup -}{yields}{eta}{sup '}l{sup -}{nu}, B{sub c}{sup -}{yields}{eta}l{sup -}{nu}, and B{sub c}{sup -}{yields}{pi}{sup 0}l{sup -}{nu} turn out to be of orders 10{sup -4}, 10{sup -5}, and 10{sup -6}, respectively, which could be observable in the future experiments at the LHC.

Annihilation

Semileptonic decay

Antiparticle

Perturbative QCD

Branching fraction

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