2016
DOI: 10.1007/jhep09(2016)156
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Integrating out heavy particles with functional methods: a simplified framework

Abstract: We present a systematic procedure to obtain the one-loop low-energy effective Lagrangian resulting from integrating out the heavy fields of a given ultraviolet theory. We show that the matching coefficients are determined entirely by the hard region of the functional determinant involving the heavy fields. This represents an important simplification with respect the conventional matching approach, where the full and effective theory contributions have to be computed separately and a cancellation of the infrare… Show more

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Cited by 114 publications
(135 citation statements)
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“…We have explored the low-energy consequences of generic heavy states with different quantum numbers, coupled to the SM particles, i.e., the fingerprints they leave on the LECs. Similar studies have been done before for specific weakly-coupled models of new physics [83][84][85][86][87][88][89][90], within the much simpler linear framework with a SM doublet Higgs; in some cases, even at the one-loop level [91][92][93][94][95][96][97][98][99][100] in the usual perturbative expansion in powers of small couplings. However, the LECs of the generic non-linear EWET have remained largely unexplored until now [12,72,73].…”
Section: Jhep04(2017)012mentioning
confidence: 55%
“…We have explored the low-energy consequences of generic heavy states with different quantum numbers, coupled to the SM particles, i.e., the fingerprints they leave on the LECs. Similar studies have been done before for specific weakly-coupled models of new physics [83][84][85][86][87][88][89][90], within the much simpler linear framework with a SM doublet Higgs; in some cases, even at the one-loop level [91][92][93][94][95][96][97][98][99][100] in the usual perturbative expansion in powers of small couplings. However, the LECs of the generic non-linear EWET have remained largely unexplored until now [12,72,73].…”
Section: Jhep04(2017)012mentioning
confidence: 55%
“…techniques exist for doing so up to one-loop level [18][19][20][21][22][23][24][25][26][27][28][29]. 2 In practice, functional methods have typically been overlooked in favour of the more traditional Feynman diagram approach, where many tools have been developed to ease otherwise complicated calculations.…”
Section: Jhep08(2017)054mentioning
confidence: 99%
“…[40], that functional methods did not appear to account for one-loop matching involving both heavy and light particles in the loop. This was addressed by us [27] and others [25,26,28], each demonstrating different procedures for treating mixed heavy-light matching in the path integral approach. 3 We emphasised in particular that our method also allowed for the computation of universal terms [27], that could in principle be added to the original UOLEA.…”
Section: Jhep08(2017)054mentioning
confidence: 99%
“…This talk follows closely the work done in Ref. [9] and is devoted to the introduction of inter-family mixing in the one-instanton transitions. We will show that these effects are crucial in the calculation of proton decay observables and will present a systematic approach to its inclusion in the model.…”
Section: Introductionmentioning
confidence: 56%
“…(36) can be used to compute proton decay processes [9]. This way we can obtain a bound on g h for a fixed value of u.…”
Section: Instanton-mediated Effective Operators and Proton Decaymentioning
confidence: 99%